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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Quantum field theory on curved space or space-time backgrounds, Theta functions and abelian varieties, More general nonquantum field theories in mechanics of particles and systems
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Research exposition (monographs, survey articles) pertaining to quantum theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Dimensional compactification in quantum field theory, Structure of families (Picard-Lefschetz, monodromy, etc.)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Sati, H., Anomalies of \(E_8\) gauge theory on string manifolds, Internat. J. Modern Phys. A, 26, 13, 2177-2197, (2011), arXiv:0807.4940 [hep-th] String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Anomalies in quantum field theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Neumann, C. D. D.: Perturbative BPS-algebras in superstring theory. Nucl. phys. 499, 596-620 (1997) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Calabi-Yau manifolds (algebro-geometric aspects), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory M. Kontsevich and Y. Soibelman, \textit{Motivic Donaldson-Thomas invariants: summary of results}, arXiv:0910.4315 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Differential graded algebras and applications (associative algebraic aspects)
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes, Research exposition (monographs, survey articles) pertaining to differential geometry, Research exposition (monographs, survey articles) pertaining to global analysis, General and philosophical questions in quantum theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Enumerative problems (combinatorial problems) in algebraic geometry, Applications of global analysis to structures on manifolds, Moduli problems for differential geometric structures
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory C Doran, B Greene, S Judes, Families of quintic Calabi-Yau \(3\)-folds with discrete symmetries, Comm. Math. Phys. 280 (2008) 675 Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Mayr, P., Mirror symmetry, N\ =\ 1 superpotentials and tensionless strings on Calabi-Yau four folds, Nucl. Phys., B 494, 489, (1997) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of compact analytic spaces to the sciences
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory R.P. Horja, \textit{Hypergeometric functions and mirror symmetry in toric varieties}, math/9912109. Toric varieties, Newton polyhedra, Okounkov bodies, Variation of Hodge structures (algebro-geometric aspects), \(3\)-folds, Transcendental methods of algebraic geometry (complex-analytic aspects)
| 1
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory H. Iritani, An integral structure in quantum cohomology and mirror symmetry for toric orbifolds. \textit{Adv. Math.}, 222(2009), No.3, 1016-1079. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
| 1
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory B.R. Greene and C.I. Lazaroiu, \textit{Collapsing D-branes in Calabi-Yau moduli space. 1.}, \textit{Nucl. Phys.}\textbf{B 604} (2001) 181 [hep-th/0001025] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory de Bartolomeis, P.: Geometric Structures on Moduli Spaces of Special Lagrangian Submanifolds. Ann. di Mat. Pura ed Applicata, IV, vol. 179, 361--382 (2001) Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Lagrangian submanifolds; Maslov index, Moduli problems for differential geometric structures
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Lazaroiu, CI, Collapsing D-branes in one parameter models and small / large radius duality, Nucl. Phys., B 605, 159, (2001) String and superstring theories in gravitational theory
| 0
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D. Morrison, Mirror symmetry and rational curves on quintic \(3\)-folds: A guide for mathematicians , preprint, Duke University, DUK-M-90-01, July 1991. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory Baraglia, D., Variation of Hodge structure for generalized complex manifolds, Differ. geom. appl., 36, 98-133, (2014) Period matrices, variation of Hodge structure; degenerations, Generalized geometries (à la Hitchin)
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Brauer groups of schemes, Arithmetic theory of algebraic function fields, Varieties over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields DOI: 10.4153/CJM-2010-032-0 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus, Curves over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cubic and quartic extensions, Class numbers, class groups, discriminants, Applications to coding theory and cryptography of arithmetic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Fernando Pablos Romo, A Contou-Carrère symbol on \?\?(\?,\?((\?))) and a Witt residue theorem on \Cal M\?\?(\?,\Sigma _{\?}), Int. Math. Res. Not. (2006), Art. ID 56824, 21. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Symbols and arithmetic (\(K\)-theoretic aspects), Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Abstract differential equations, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Singularities of curves, local rings
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hasse, H.: Zur theorie der abstrakte elliptischen funktionenkörper. II. automorphismen und meromorphismen. Das additionstheorem. J. reine angrew. Math. 175, 69-88 (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pedersen, J.P.: A function field related to the Ree group. In: Coding Theory and Algebraic Geometry, Lecture Notes in Mathematics, vol. 1518, pp. 122--132. Springer, Berlin (1992) Arithmetic theory of algebraic function fields, Simple groups, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields D. G. Cantor, \textit{Computing in the Jacobian of a hyperelliptic curve}, Math. Comp., 48 (1987), pp. 95--101, . Jacobians, Prym varieties, Software, source code, etc. for problems pertaining to algebraic geometry, Software, source code, etc. for problems pertaining to field theory, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Ramification and extension theory, Galois theory, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Goss, D., On a new type of \textit{L}-functions for algebraic curves over finite fields, Pacific J. math., 105, 143-181, (1983) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Birational geometry, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Special surfaces
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields MacLane, S. - Schilling, O.F.G.\(\,\): Zero-dimensional branches of rank 1 on algebraic varieties, Annals of Math. 40 (1939), 507-520 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Valued fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields DOI: 10.1007/s00574-004-0008-9 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Thue-Mahler equations, Finite ground fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Jack Ohm, On ruled fields, Sém. Théor. Nombres Bordeaux (2) 1 (1989), no. 1, 27 -- 49 (English, with French summary). Transcendental field extensions, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tomašić, I.: A twisted theorem of chebotarev, C. R. Acad. sci. Paris, ser. I 347, 385-388 (2009) Arithmetic theory of algebraic function fields, Density theorems, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields R. Brandt, Über die Automorphismengruppen von algebraischen Funktionenkörpern, PhD thesis, Universität Essen, 1988. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Separable extensions, Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Representations of groups as automorphism groups of algebraic systems
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Lachaud, G.; Vladut, S.: Gauss problem for function fields, J. number theory 85, No. 2, 109-129 (2000) Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Class field theory, Finite ground fields in algebraic geometry, Jacobians, Prym varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Computational aspects of algebraic curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Niederreiter, H.: Finite fields and quasirandom points. In: Charpin, P., Pott, A., Winterhof, A. (eds.) Finite Fields and Their Applications: Character Sums and Polynomials, pp. 169--196. de Gruyter, Berlin (2013) Pseudo-random numbers; Monte Carlo methods, Orthogonal arrays, Latin squares, Room squares, Irregularities of distribution, discrepancy, Arithmetic theory of algebraic function fields, Polynomials over finite fields, Algebraic functions and function fields in algebraic geometry, Monte Carlo methods
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Transcendental field extensions, Group actions on varieties or schemes (quotients), Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Parimala, R.: A Hasse principle for quadratic forms over function fields. Bull. amer. Math. soc. (N.S.) 51, No. 3, 447-461 (2014) Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields G. Villa and M. Madan,Structure of semisimple differentials and p-class groups in \(\mathbb{Z}\) p -extensions. Manuscripta Mathematica57 (1987), 315--350. Cyclotomic extensions, Arithmetic theory of algebraic function fields, Iwasawa theory, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields HP Johan~P. Hansen and Jens~Peter Pedersen, \emph Automorphism groups of Ree type, Deligne-Lusztig curves and function fields, J. Reine Angew. Math. \textbf 440 (1993), 99--109. Algebraic functions and function fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic ground fields for curves, Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Cubic and quartic extensions, Units and factorization, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields T. Hasegawa, An upper bound for the Garcia-Stichtenoth numbers of towers, Tokyo J. Math., 28 (2005), 471-481. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Arithmetic codes
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Quadratic forms over general fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Class groups and Picard groups of orders, Cohomology of arithmetic groups
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves, Polynomials over finite fields, Arithmetic theory of polynomial rings over finite fields, Arithmetic theory of algebraic function fields
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields RÜCK, H.-G.: Hasse-Witt-Invariants and Dihedral Extensions, Math. Z., to appear Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields DOI: 10.1006/jabr.1996.7014 Valuations and their generalizations for commutative rings, Arithmetic theory of algebraic function fields, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Algebraic functions and function fields in algebraic geometry, Regular local rings
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields K. Miura - H. Yoshihara, Field theory for function fields of plane quartic curves, J. Algebra, 226 (2000), pp. 283-294. Zbl0983.11067 MR1749889 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus, Jacobians, Prym varieties
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Dèbes, P., Douai, J.-C., Moret-Bailly, L.: Descent varieties for algebraic covers. J. fur die reine und angew. Math. 574, 51--78 (2004) Coverings in algebraic geometry, Arithmetic theory of algebraic function fields, Generalizations (algebraic spaces, stacks), Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group, Other nonalgebraically closed ground fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Brauer groups (algebraic aspects), Algebraic functions and function fields in algebraic geometry, Galois cohomology, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Galois theory, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Higher degree equations; Fermat's equation, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Arithmetic theory of algebraic function fields, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Zeta and \(L\)-functions in characteristic \(p\), Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Quadratic extensions, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Polynomials over finite fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Adèle rings and groups, Global ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Applications to coding theory and cryptography of arithmetic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Elliptic curves over local fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Fibonacci and Lucas numbers and polynomials and generalizations, Algebraic functions and function fields in algebraic geometry, Iwasawa theory, Cyclotomic extensions, Zeta functions and \(L\)-functions of number fields
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Maldonado Ramírez, Cyclic p-extensions of function fields with null Hasse-Witt map, Int. Math. Forum 2 (49-52) pp 2463-- (2007) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hasse, H., Zur theorie der abstrakten elliptischen funktionenkörper. I. die struktur der gruppe der divisorenklassen endlicher ordnung, J. Reine Angew. Math., 1936, 175, 55-62, (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Class field theory, Algebraic functions and function fields in algebraic geometry, \(K\)-theory of global fields, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Finite-dimensional division rings, Grothendieck groups, \(K\)-theory, etc.
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Popescu C.D.: Gras-type conjectures for function fields. Compositio Mathematica 118, 263--290 (1999) Arithmetic theory of algebraic function fields, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (1988) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields J NUMBER THEORY 130 pp 1000-- (2010) Zeta and \(L\)-functions in characteristic \(p\), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. Arithmetic theory of algebraic function fields, Class field theory, Other abelian and metabelian extensions, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel, Function field extensions with null Hasse-Witt map, Int. Math. J., 2, 4, 361-371, (2002), MR 1891121 (2003d:11172) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Mestre, J.F. 1994.Annulation, par changement de variable, d'éléments de Br2(k(x)) ayant quatre pôles, SÉrie I Vol. 319, 529--532. Paris: C. R. Acad. Sci. Brauer groups of schemes, Arithmetic theory of algebraic function fields, Galois cohomology, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Beelen, Peter; Garcia, Arnaldo; Stichtenoth, Henning, On towers of function fields over finite fields.Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr. 11, 1-20, (2005), Soc. Math. France, Paris Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Rational points
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Cyclotomic function fields (class groups, Bernoulli objects, etc.), Cyclotomic extensions, Class field theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Iwasawa theory
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kodama,T.,Washio,T.: Hasse-Witt matrices of hyperelliptic function fields. Sci. Bull. Fac. Educ. Nagasaki Univ.37, 9-15 (1986) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes définies sur LES corps locaux de dimension N. J. algebra 125, 181-196 (1989) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. W. Mason, Free quotients of congruence subgroups of the Serre groups and unipotent matrices, Comm. Algebra 27 (1999), no. 1, 335 -- 356. Unimodular groups, congruence subgroups (group-theoretic aspects), Subgroup theorems; subgroup growth, Algebraic functions and function fields in algebraic geometry, Linear algebraic groups over arbitrary fields, Arithmetic theory of algebraic function fields, Structure of modular groups and generalizations; arithmetic groups
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bronstein, M., Salvy, B.: Full partial fraction decomposition of rational functions. In: ISSAC '93: Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, pp. 157--160. ACM, New York, NY, USA (1993) Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [1999] ??Die Entdeckung der Analogie zwischen Zahl- und Funktionenkörper: der Ursprung der ?Dedekind-Ringe,?? Jahresbericht der DMV 101 (1999): 116-134. History of number theory, Arithmetic theory of algebraic function fields, History of mathematics in the 19th century, History of mathematics in the 20th century, Algebraic number theory: global fields, Dedekind, Prüfer, Krull and Mori rings and their generalizations, History of algebraic geometry, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields M. Rosen, \textit{S}-units and \textit{S}-class group in algebraic function fields, J. Algebra 26 (1973), 98-108. Arithmetic theory of algebraic function fields, Units and factorization, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Li, X-J, A note on the Riemann-Roch theorem for function fields, No. 2, 567-570, (1996), Basel Arithmetic theory of algebraic function fields, Riemann-Roch theorems, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [Fo] T. Ford,Division algebras that ramify only along a singular plane cubic curve, New York Journal of Mathematics1 (1995), 178--183, http://nyjm.albany.edu:8000/j/v1/ford.html. Finite-dimensional division rings, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Güneri C., Özbudak F.: Artin--Schreier extensions and their applications. In: Garcia, A., Stichtenoth, H.(eds) Topics in Geometry, Coding Theory and Cryptography, Algebra and Applications, vol. 6, pp. 105--133. Springer, Dordrecht (2007) Arithmetic theory of algebraic function fields, Weyl sums, Algebraic functions and function fields in algebraic geometry, Cyclic codes, Geometric methods (including applications of algebraic geometry) applied to coding theory, Other abelian and metabelian extensions
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Yu, J.; Yu, J. -K.: A note on a geometric analogue of ankeny--Artin--chowla's conjecture. (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Units and factorization
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Anbar, N.; Stichtenoth, H.; Tutdere, S., On ramification in the compositum of function fields, Bull. Braz. Math. Soc. (N.S.), 40, 4, 539-552, (2009) Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields T. Washio and T. Kodama: A note on a supersingular function field. Sci. Bull. Fac. Ed. Nagasaki Univ., 37, 17-21 (1986). Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
|
Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Geyer, W. D.; Martens, G.: Überlagerungen berandeter kleinscher, Flächen. math. Ann. 228, 101-111 (1977) Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry, Separable extensions, Galois theory, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic number theory, (1986), CasselsJ. W. S.J. W. S., London Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Galois theory
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