AnkitSatpute/zbMath_mscref · Datasets at Hugging Face

text stringlengths 68 2.01k	label int64 0 1
Families, moduli of curves (algebraic), Picard groups J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. Families, moduli of curves (algebraic), Curves over finite and local fields, Transcendental methods, Hodge theory (algebro-geometric aspects)	0
Families, moduli of curves (algebraic), Picard groups Onoda, N., Sugatani, T., Yoshida, K.: Local quasinormality and closedness type criteria. Houst. J. Math. 11, 247--256 (1985) General commutative ring theory, Integral domains, Divisibility and factorizations in commutative rings, Picard groups	0
Families, moduli of curves (algebraic), Picard groups Sorger, Christoph, Lectures on moduli of principal \(G\)-bundles over algebraic curves.School on Algebraic Geometry, Trieste, 1999, ICTP Lect. Notes 1, 1-57, (2000), Abdus Salam Int. Cent. Theoret. Phys., Trieste Vector bundles on curves and their moduli, Group actions on varieties or schemes (quotients), Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles	0
Families, moduli of curves (algebraic), Picard groups Ebert, J.; Giansiracusa, J.: Pontrjagin-thom maps and the homology of the moduli stack of stable curves, Math. ann. 349, No. 3, 543-575 (2011) Families, moduli of curves (analytic), Stacks and moduli problems, Families, moduli of curves (algebraic), Homology of classifying spaces and characteristic classes in algebraic topology	0
Families, moduli of curves (algebraic), Picard groups Peter F. Stiller, The Picard numbers of elliptic surfaces with many symmetries, Pacific J. Math. 128 (1987), no. 1, 157 -- 189. Picard groups, Special surfaces, Group actions on varieties or schemes (quotients)	0
Families, moduli of curves (algebraic), Picard groups Z. Ran, Bend, break and count II, Math. Proc. Camb. Phil. Soc. 127 (1999), 7-12. Zbl0972.14040 MR1692527 Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Singularities of curves, local rings, Plane and space curves	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Curves in algebraic geometry, Projective techniques in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Compactification of analytic spaces, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Cohomology of arithmetic groups, Arithmetic aspects of modular and Shimura varieties	0
Families, moduli of curves (algebraic), Picard groups Newstead P. E., Introduction to Moduli Problems and Orbit Spaces (2012) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Collected or selected works; reprintings or translations of classics, Geometric invariant theory, Group actions on varieties or schemes (quotients), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Vector bundles on curves and their moduli, Other algebraic groups (geometric aspects), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Fine and coarse moduli spaces, Families, moduli of curves (algebraic), Local ground fields in algebraic geometry, Geometric invariant theory	0
Families, moduli of curves (algebraic), Picard groups Lass, B., Démonstration combinatoire de la formule de harer-Zagier, C. R. Acad. Sci. Paris, 333, 155-160, (2001) Exact enumeration problems, generating functions, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Picard groups, Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces	0
Families, moduli of curves (algebraic), Picard groups Zerger, T.: Contraction criteria for reducible rational curves with components of length one in smooth complex threefolds. Pacific J. Math. 212, 377-394 (2003) \(3\)-folds, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces	0
Families, moduli of curves (algebraic), Picard groups Singularities in algebraic geometry, Families, fibrations in algebraic geometry, Families, moduli of curves (algebraic), Singularities of curves, local rings	0
Families, moduli of curves (algebraic), Picard groups D. Arcara and Y.-P. Lee, Tautological equations in genus 2 via invariance constraints, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 1, 1 -- 27. Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational and birational maps, Jacobians, Prym varieties	0
Families, moduli of curves (algebraic), Picard groups Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves	0
Families, moduli of curves (algebraic), Picard groups Kraemer, J.: (Self)-duality and the Picard group. Comm. alg. 16, 2283-2311 (1988) Module categories in associative algebras, Picard groups	0
Families, moduli of curves (algebraic), Picard groups Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Vector bundles on curves and their moduli, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Embeddings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Picard groups	0
Families, moduli of curves (algebraic), Picard groups Schmitt, J., Dimension theory of the moduli space of twisted \textit{k}-differentials Families, moduli of curves (algebraic), Differentials on Riemann surfaces	0
Families, moduli of curves (algebraic), Picard groups Boggi, Marco, Galois coverings of moduli spaces of curves and loci of curves with symmetry, Geom. Dedicata, 168, 113-142, (2014) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Coverings of curves, fundamental group, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Teichmüller theory for Riemann surfaces	0
Families, moduli of curves (algebraic), Picard groups O. A. Laudal and G. Pfister, ''Local moduli and singularities,'' In: Lecture Notes in Math., Vol. 1310, Springer, Berlin (1988). Structure of families (Picard-Lefschetz, monodromy, etc.), Singularities in algebraic geometry, Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fine and coarse moduli spaces, Singularities of surfaces or higher-dimensional varieties, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Ottaviani , G. Szurek , M. On Moduli of Stable 2-bundles with Small Chern Classes on \(\mathbb{Q}\) 3 Families, moduli of curves (algebraic), Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles	0
Families, moduli of curves (algebraic), Picard groups Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Lee, Y-P, A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford moduli spaces, IMRN, 8, 393-400, (1997) Families, moduli of curves (algebraic), Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli	0
Families, moduli of curves (algebraic), Picard groups Liu, K., Xu, H.: The \(n\)-point functions for intersection numbers on moduli spaces of curves. Adv. Theor. Math. Phys. \textbf{15}(5), 1201-1236 (2011). arXiv:math/0701319 Families, moduli of curves (algebraic), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)	0
Families, moduli of curves (algebraic), Picard groups \(K3\) surfaces and Enriques surfaces, Singularities of surfaces or higher-dimensional varieties, Picard groups, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)	0
Families, moduli of curves (algebraic), Picard groups A.M. Vermeulen. \textit{Weierstrass points of weight two on curves of genus three}. Universiteit van Amsterdam, Amsterdam, 1983. Dissertation, University of Amsterdam, Amsterdam, 1983;With a Dutch summary. Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups, Local cohomology and algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Schöbel, Konrad, The variety of integrable Killing tensors on the 3-sphere, SIGMA, 10, (2014) Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Families, moduli of curves (algebraic), Determinantal varieties, Applications of global differential geometry to the sciences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests	0
Families, moduli of curves (algebraic), Picard groups Monnier, J. -P.: Witt group and torsion Picard group of real curves. J. pure appl. Algebra 169, 267-293 (2002) Picard groups, Topology of real algebraic varieties, Algebraic theory of quadratic forms; Witt groups and rings, Real algebraic sets	0
Families, moduli of curves (algebraic), Picard groups Polishchuk, A.: Moduli of curves as moduli of \(A_\infty \)-structures. Duke Math. J. (to appear). arXiv:1312.4636 Families, moduli of curves (algebraic), Differential graded algebras and applications (associative algebraic aspects)	0
Families, moduli of curves (algebraic), Picard groups Rational points, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups DOI: 10.1016/j.jpaa.2004.01.008 Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Zariski O.: Le problème des modules pour les courbes planes. Hermann, Paris (1986) Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Singularities in algebraic geometry, Power series rings	0
Families, moduli of curves (algebraic), Picard groups S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Vertex operators; vertex operator algebras and related structures, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics	0
Families, moduli of curves (algebraic), Picard groups Martin Pikaart, An orbifold partition of \overline\?\(^{n}\)_{\?}, The moduli space of curves (Texel Island, 1994) Progr. Math., vol. 129, Birkhäuser Boston, Boston, MA, 1995, pp. 467 -- 482. Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Representations of finite symmetric groups, Fine and coarse moduli spaces	0
Families, moduli of curves (algebraic), Picard groups R. V. Gurjar and M. Miyanishi, Affine surfaces with \overline\?\le 1, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 99 -- 124. Homotopy theory and fundamental groups in algebraic geometry, Picard groups, Moduli, classification: analytic theory; relations with modular forms	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Automorphisms of curves, Group actions on manifolds and cell complexes in low dimensions, Jacobians, Prym varieties	0
Families, moduli of curves (algebraic), Picard groups Massarenti, A., The automorphism group of \(\overline{M}_{g, n}\), J. Lond. Math. Soc. (2), 89, 1, 131-150, (2014), MR 3174737 Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Fine and coarse moduli spaces, Stacks and moduli problems	0
Families, moduli of curves (algebraic), Picard groups Mirror symmetry (algebro-geometric aspects), Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)	0
Families, moduli of curves (algebraic), Picard groups Rational and unirational varieties, Rationality questions in algebraic geometry, Families, moduli of curves (algebraic), Linear algebraic groups over arbitrary fields, Brauer groups (algebraic aspects)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Rational and unirational varieties	0
Families, moduli of curves (algebraic), Picard groups Schumacher G., Trapani S.: Variation of cone metrics on Riemann surfaces. J. Math. Anal. Appl. 311, 218--230 (2005) Families, moduli of curves (algebraic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Conformal metrics (hyperbolic, Poincaré, distance functions)	0
Families, moduli of curves (algebraic), Picard groups Narasimhan M.S. Lectures on theta-functions. Lecture delivered at the University of Kaiserslautem Kaiserslautem (1987) Families, moduli of curves (algebraic), Rational and unirational varieties	0
Families, moduli of curves (algebraic), Picard groups Topological properties in algebraic geometry, Picard schemes, higher Jacobians, Coverings in algebraic geometry, Picard groups	0
Families, moduli of curves (algebraic), Picard groups O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) Picard groups, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces	0
Families, moduli of curves (algebraic), Picard groups 30. Nitsure, Nitin Moduli space of semistable pairs on a curve \textit{Proc. London Math. Soc.}62 (1991) 275--300 Math Reviews MR1085642 Vector bundles on curves and their moduli, Fine and coarse moduli spaces, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Jacobians, Prym varieties, Pencils, nets, webs in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups F.C.S. Brown, \textit{Multiple zeta values and periods of moduli spaces} \(\mathcal{M}\)\_{}\{0,\(n\)\}(\(\mathbbR\)), \textit{Annales Sci. Ecole Norm. Sup.}\textbf{42} (2009) 371 [math/0606419] [INSPIRE]. Multiple Dirichlet series and zeta functions and multizeta values, Families, moduli of curves (algebraic), Polylogarithms and relations with \(K\)-theory	0
Families, moduli of curves (algebraic), Picard groups De La Rosa Navarro, B.L., Frías Medina, J.B., Lahyane, M., Moreno Mejía, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox ring of projective surfaces. Rev. Mat. Iberoam. 31(4), 1131-1140 (2015) Divisors, linear systems, invertible sheaves, Picard groups, Riemann-Roch theorems	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Jacobians, Prym varieties, Pencils, nets, webs in algebraic geometry, Representations of orders, lattices, algebras over commutative rings	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Fundamental groups and their automorphisms (group-theoretic aspects), Coverings of curves, fundamental group	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Subvarieties of abelian varieties	0
Families, moduli of curves (algebraic), Picard groups Picard groups, Determinantal varieties, Hypersurfaces and algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Theta functions and curves; Schottky problem, String and superstring theories; other extended objects (e.g., branes) in quantum field theory	0
Families, moduli of curves (algebraic), Picard groups Mumford, D.: Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and Geometry, Vol. II, Progress in Mathematics, vol.~36, pp.~271-328. Birkhäuser Boston, Boston (1983) Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Riemann-Roch theorems	0
Families, moduli of curves (algebraic), Picard groups Eisenbud, D.; Harris, J., The dimension of the Chow variety of curves, Compos. Math., 83, 3, 291-310, (1992) Parametrization (Chow and Hilbert schemes), Plane and space curves, Families, moduli of curves (algebraic), Projective techniques in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Parametrization (Chow and Hilbert schemes), Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)	0
Families, moduli of curves (algebraic), Picard groups C. Faber and R. Pandharipande, \textit{Hodge integrals and Gromov-Witten theory}, math.AG/9810173. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles	0
Families, moduli of curves (algebraic), Picard groups Greuel, G.-M., Pfister, G.: Moduli spaces for torsion free modules on curve singularities I. J. of Algebraic Geometry2, 81--135 (1993) Families, moduli of curves (algebraic), Singularities of curves, local rings, Grassmannians, Schubert varieties, flag manifolds, Singularities in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Logarithmic algebraic geometry, log schemes, Combinatorial aspects of tropical varieties, Geometric aspects of tropical varieties	0
Families, moduli of curves (algebraic), Picard groups Jacobians, Prym varieties, Singularities of curves, local rings, Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)	0
Families, moduli of curves (algebraic), Picard groups Strømme, S A, On parametrized rational curves in Grassmann varieties., Lecture Notes in Math, 1266, 251-272, (1987) Grassmannians, Schubert varieties, flag manifolds, Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations, Algebraic moduli problems, moduli of vector bundles	0
Families, moduli of curves (algebraic), Picard groups Special surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Projective techniques in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences	0
Families, moduli of curves (algebraic), Picard groups Nollet, S., A remark on connectedness in Hilbert scheme, Communications in Algebra, 28, 5745-5747, (2000) Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Shadrin, S.: Polynomial Hurwitz numbers and intersections on M\={}0,k. Funct. anal. Appl. 37, 78-80 (2003) Rational and birational maps, Families, moduli of curves (algebraic), Polynomial rings and ideals; rings of integer-valued polynomials	0
Families, moduli of curves (algebraic), Picard groups Research exposition (monographs, survey articles) pertaining to algebraic geometry, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Rational points, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relationships between algebraic curves and integrable systems, Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions	0
Families, moduli of curves (algebraic), Picard groups Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Differentials on Riemann surfaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Algebraic functions and function fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)	0
Families, moduli of curves (algebraic), Picard groups Hirschowitz, Existence de faisceaux réflexifs de rang deux sur P3 à bonne cohomologie, Inst. Hautes Études Sci. Publ. Math. 66 pp 105-- (1988) Families, moduli of curves (algebraic), Characteristic classes and numbers in differential topology, Geometric invariant theory	0
Families, moduli of curves (algebraic), Picard groups A. Castorena., Curves of genus seven that do not satisfy the Gieseker-Petri theorem, Bolletino U.M.I,(8)8-B(2005), 697--706. Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups G. Casnati and A. Del Centina, On certain spaces associated to tetragonal curves of genus 7 and 8, Commutative algebra and algebraic geometry (Ferrara), Lecture Notes in Pure and Appl. Math., vol. 206, Dekker, New York, 1999, pp. 35 -- 45. Special divisors on curves (gonality, Brill-Noether theory), Rational and unirational varieties, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 Sphere bundles and vector bundles in algebraic topology, Determinantal varieties, Characteristic classes and numbers in differential topology, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups C. BRINKMANN , Die Andersonextension und 1-Motive , Bonner Mathematische Schriften. 223. Bonn : Univ. Bonn, Math.-Naturwiss. Fak. ( 1991 ). MR 94a:11087 \| Zbl 0749.14001 Generalizations (algebraic spaces, stacks), Families, moduli of curves (algebraic), Jacobians, Prym varieties, Applications of methods of algebraic \(K\)-theory in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups [Sh4] Shustin, E.: Geometry of equisingular families of plane algebraic curves. J. Algebr. Geom.5, 209--234 (1996). Families, moduli of curves (algebraic), Singularities of curves, local rings	0
Families, moduli of curves (algebraic), Picard groups C. S. Seshadri, Degenerations of the moduli spaces of vector bundles on curves, School on Algebraic Geometry (Trieste, 1999) ICTP Lect. Notes, vol. 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000, pp. 205 -- 265. Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups M. Matsumoto, Introduction to arithmetic mapping class groups, Moduli spaces of Riemann surfaces, IAS/Park City Math. Ser. 20, American Mathematical Society, Providence (2013), 319-356. Homotopy theory and fundamental groups in algebraic geometry, Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Coverings in algebraic geometry, Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)	0
Families, moduli of curves (algebraic), Picard groups Hidalgo, R. A.; Reyes-Carocca, S.; Valdés, M. E.: Field of moduli and generalized Fermat curves, Rev. colomb. Mat. 47, No. 2, 205-221 (2013) Automorphisms of curves, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization	0
Families, moduli of curves (algebraic), Picard groups Automorphisms of curves, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups 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
Families, moduli of curves (algebraic), Picard groups Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Equivariant homology and cohomology in algebraic topology	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Topological properties in algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Applications of manifolds of mappings to the sciences	0
Families, moduli of curves (algebraic), Picard groups Saïdi, M.: Wild ramification and a vanishing cycles formula. J. algebra 273, No. 1, 108-128 (2004) Families, moduli, classification: algebraic theory, Families, moduli of curves (algebraic), Singularities in algebraic geometry	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives	0
Families, moduli of curves (algebraic), Picard groups Bertram A., Cavalieri R., Todorov G.: Evaluating tautological classes using only Hurwitz numbers. Trans. Amer. Math. Soc. 360(11), 6103--6111 (2008) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups Carr, S.: A polygonal presentation of \({Pic(\overline{\mathfrak{M}}_{0,n})}\) , (2009). arXiv:0911.2649 Algebraic moduli problems, moduli of vector bundles, Minimal model program (Mori theory, extremal rays), Families, moduli of curves (algebraic)	0
Families, moduli of curves (algebraic), Picard groups \(K3\) surfaces and Enriques surfaces, Varieties over finite and local fields, Brauer groups of schemes, Group actions on varieties or schemes (quotients), Picard groups	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives	0
Families, moduli of curves (algebraic), Picard groups Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory)	0
Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Stacks and moduli problems, Singularities of curves, local rings, Riemann surfaces; Weierstrass points; gap sequences	0

Families, moduli of curves (algebraic), Picard groups J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. Families, moduli of curves (algebraic), Curves over finite and local fields, Transcendental methods, Hodge theory (algebro-geometric aspects)

0

Families, moduli of curves (algebraic), Picard groups Onoda, N., Sugatani, T., Yoshida, K.: Local quasinormality and closedness type criteria. Houst. J. Math. 11, 247--256 (1985) General commutative ring theory, Integral domains, Divisibility and factorizations in commutative rings, Picard groups

0

Families, moduli of curves (algebraic), Picard groups Sorger, Christoph, Lectures on moduli of principal \(G\)-bundles over algebraic curves.School on Algebraic Geometry, Trieste, 1999, ICTP Lect. Notes 1, 1-57, (2000), Abdus Salam Int. Cent. Theoret. Phys., Trieste Vector bundles on curves and their moduli, Group actions on varieties or schemes (quotients), Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles

0

Families, moduli of curves (algebraic), Picard groups Ebert, J.; Giansiracusa, J.: Pontrjagin-thom maps and the homology of the moduli stack of stable curves, Math. ann. 349, No. 3, 543-575 (2011) Families, moduli of curves (analytic), Stacks and moduli problems, Families, moduli of curves (algebraic), Homology of classifying spaces and characteristic classes in algebraic topology

0

Families, moduli of curves (algebraic), Picard groups Peter F. Stiller, The Picard numbers of elliptic surfaces with many symmetries, Pacific J. Math. 128 (1987), no. 1, 157 -- 189. Picard groups, Special surfaces, Group actions on varieties or schemes (quotients)

0

Families, moduli of curves (algebraic), Picard groups Z. Ran, Bend, break and count II, Math. Proc. Camb. Phil. Soc. 127 (1999), 7-12. Zbl0972.14040 MR1692527 Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Singularities of curves, local rings, Plane and space curves

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Curves in algebraic geometry, Projective techniques in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Compactification of analytic spaces, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Cohomology of arithmetic groups, Arithmetic aspects of modular and Shimura varieties

0

Families, moduli of curves (algebraic), Picard groups Newstead P. E., Introduction to Moduli Problems and Orbit Spaces (2012) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Collected or selected works; reprintings or translations of classics, Geometric invariant theory, Group actions on varieties or schemes (quotients), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Vector bundles on curves and their moduli, Other algebraic groups (geometric aspects), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Fine and coarse moduli spaces, Families, moduli of curves (algebraic), Local ground fields in algebraic geometry, Geometric invariant theory

0

Families, moduli of curves (algebraic), Picard groups Lass, B., Démonstration combinatoire de la formule de harer-Zagier, C. R. Acad. Sci. Paris, 333, 155-160, (2001) Exact enumeration problems, generating functions, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Picard groups, Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces

0

Families, moduli of curves (algebraic), Picard groups Zerger, T.: Contraction criteria for reducible rational curves with components of length one in smooth complex threefolds. Pacific J. Math. 212, 377-394 (2003) \(3\)-folds, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces

0

Families, moduli of curves (algebraic), Picard groups Singularities in algebraic geometry, Families, fibrations in algebraic geometry, Families, moduli of curves (algebraic), Singularities of curves, local rings

0

Families, moduli of curves (algebraic), Picard groups D. Arcara and Y.-P. Lee, Tautological equations in genus 2 via invariance constraints, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 1, 1 -- 27. Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational and birational maps, Jacobians, Prym varieties

0

Families, moduli of curves (algebraic), Picard groups Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves

0

Families, moduli of curves (algebraic), Picard groups Kraemer, J.: (Self)-duality and the Picard group. Comm. alg. 16, 2283-2311 (1988) Module categories in associative algebras, Picard groups

0

Families, moduli of curves (algebraic), Picard groups Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Vector bundles on curves and their moduli, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Embeddings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Picard groups

0

Families, moduli of curves (algebraic), Picard groups Schmitt, J., Dimension theory of the moduli space of twisted \textit{k}-differentials Families, moduli of curves (algebraic), Differentials on Riemann surfaces

0

Families, moduli of curves (algebraic), Picard groups Boggi, Marco, Galois coverings of moduli spaces of curves and loci of curves with symmetry, Geom. Dedicata, 168, 113-142, (2014) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Coverings of curves, fundamental group, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Teichmüller theory for Riemann surfaces

0

Families, moduli of curves (algebraic), Picard groups O. A. Laudal and G. Pfister, ''Local moduli and singularities,'' In: Lecture Notes in Math., Vol. 1310, Springer, Berlin (1988). Structure of families (Picard-Lefschetz, monodromy, etc.), Singularities in algebraic geometry, Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fine and coarse moduli spaces, Singularities of surfaces or higher-dimensional varieties, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Ottaviani , G. Szurek , M. On Moduli of Stable 2-bundles with Small Chern Classes on \(\mathbb{Q}\) 3 Families, moduli of curves (algebraic), Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles

0

Families, moduli of curves (algebraic), Picard groups Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Lee, Y-P, A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford moduli spaces, IMRN, 8, 393-400, (1997) Families, moduli of curves (algebraic), Topological properties in algebraic geometry, Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli

0

Families, moduli of curves (algebraic), Picard groups Liu, K., Xu, H.: The \(n\)-point functions for intersection numbers on moduli spaces of curves. Adv. Theor. Math. Phys. \textbf{15}(5), 1201-1236 (2011). arXiv:math/0701319 Families, moduli of curves (algebraic), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)

0

Families, moduli of curves (algebraic), Picard groups \(K3\) surfaces and Enriques surfaces, Singularities of surfaces or higher-dimensional varieties, Picard groups, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)

0

Families, moduli of curves (algebraic), Picard groups A.M. Vermeulen. \textit{Weierstrass points of weight two on curves of genus three}. Universiteit van Amsterdam, Amsterdam, 1983. Dissertation, University of Amsterdam, Amsterdam, 1983;With a Dutch summary. Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard groups, Local cohomology and algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Schöbel, Konrad, The variety of integrable Killing tensors on the 3-sphere, SIGMA, 10, (2014) Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Families, moduli of curves (algebraic), Determinantal varieties, Applications of global differential geometry to the sciences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests

0

Families, moduli of curves (algebraic), Picard groups Monnier, J. -P.: Witt group and torsion Picard group of real curves. J. pure appl. Algebra 169, 267-293 (2002) Picard groups, Topology of real algebraic varieties, Algebraic theory of quadratic forms; Witt groups and rings, Real algebraic sets

0

Families, moduli of curves (algebraic), Picard groups Polishchuk, A.: Moduli of curves as moduli of \(A_\infty \)-structures. Duke Math. J. (to appear). arXiv:1312.4636 Families, moduli of curves (algebraic), Differential graded algebras and applications (associative algebraic aspects)

0

Families, moduli of curves (algebraic), Picard groups Rational points, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups DOI: 10.1016/j.jpaa.2004.01.008 Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Zariski O.: Le problème des modules pour les courbes planes. Hermann, Paris (1986) Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Singularities in algebraic geometry, Power series rings

0

Families, moduli of curves (algebraic), Picard groups S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Vertex operators; vertex operator algebras and related structures, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

0

Families, moduli of curves (algebraic), Picard groups Martin Pikaart, An orbifold partition of \overline\?\(^{n}\)_{\?}, The moduli space of curves (Texel Island, 1994) Progr. Math., vol. 129, Birkhäuser Boston, Boston, MA, 1995, pp. 467 -- 482. Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Representations of finite symmetric groups, Fine and coarse moduli spaces

0

Families, moduli of curves (algebraic), Picard groups R. V. Gurjar and M. Miyanishi, Affine surfaces with \overline\?\le 1, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 99 -- 124. Homotopy theory and fundamental groups in algebraic geometry, Picard groups, Moduli, classification: analytic theory; relations with modular forms

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Automorphisms of curves, Group actions on manifolds and cell complexes in low dimensions, Jacobians, Prym varieties

0

Families, moduli of curves (algebraic), Picard groups Massarenti, A., The automorphism group of \(\overline{M}_{g, n}\), J. Lond. Math. Soc. (2), 89, 1, 131-150, (2014), MR 3174737 Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Fine and coarse moduli spaces, Stacks and moduli problems

0

Families, moduli of curves (algebraic), Picard groups Mirror symmetry (algebro-geometric aspects), Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)

0

Families, moduli of curves (algebraic), Picard groups Rational and unirational varieties, Rationality questions in algebraic geometry, Families, moduli of curves (algebraic), Linear algebraic groups over arbitrary fields, Brauer groups (algebraic aspects)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Rational and unirational varieties

0

Families, moduli of curves (algebraic), Picard groups Schumacher G., Trapani S.: Variation of cone metrics on Riemann surfaces. J. Math. Anal. Appl. 311, 218--230 (2005) Families, moduli of curves (algebraic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Conformal metrics (hyperbolic, Poincaré, distance functions)

0

Families, moduli of curves (algebraic), Picard groups Narasimhan M.S. Lectures on theta-functions. Lecture delivered at the University of Kaiserslautem Kaiserslautem (1987) Families, moduli of curves (algebraic), Rational and unirational varieties

0

Families, moduli of curves (algebraic), Picard groups Topological properties in algebraic geometry, Picard schemes, higher Jacobians, Coverings in algebraic geometry, Picard groups

0

Families, moduli of curves (algebraic), Picard groups O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) Picard groups, Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces

0

Families, moduli of curves (algebraic), Picard groups 30. Nitsure, Nitin Moduli space of semistable pairs on a curve \textit{Proc. London Math. Soc.}62 (1991) 275--300 Math Reviews MR1085642 Vector bundles on curves and their moduli, Fine and coarse moduli spaces, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Jacobians, Prym varieties, Pencils, nets, webs in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups F.C.S. Brown, \textit{Multiple zeta values and periods of moduli spaces} \(\mathcal{M}\)\_{}\{0,\(n\)\}(\(\mathbbR\)), \textit{Annales Sci. Ecole Norm. Sup.}\textbf{42} (2009) 371 [math/0606419] [INSPIRE]. Multiple Dirichlet series and zeta functions and multizeta values, Families, moduli of curves (algebraic), Polylogarithms and relations with \(K\)-theory

0

Families, moduli of curves (algebraic), Picard groups De La Rosa Navarro, B.L., Frías Medina, J.B., Lahyane, M., Moreno Mejía, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox ring of projective surfaces. Rev. Mat. Iberoam. 31(4), 1131-1140 (2015) Divisors, linear systems, invertible sheaves, Picard groups, Riemann-Roch theorems

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Jacobians, Prym varieties, Pencils, nets, webs in algebraic geometry, Representations of orders, lattices, algebras over commutative rings

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Fundamental groups and their automorphisms (group-theoretic aspects), Coverings of curves, fundamental group

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Subvarieties of abelian varieties

0

Families, moduli of curves (algebraic), Picard groups Picard groups, Determinantal varieties, Hypersurfaces and algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Theta functions and curves; Schottky problem, String and superstring theories; other extended objects (e.g., branes) in quantum field theory

0

Families, moduli of curves (algebraic), Picard groups Mumford, D.: Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and Geometry, Vol. II, Progress in Mathematics, vol.~36, pp.~271-328. Birkhäuser Boston, Boston (1983) Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Riemann-Roch theorems

0

Families, moduli of curves (algebraic), Picard groups Eisenbud, D.; Harris, J., The dimension of the Chow variety of curves, Compos. Math., 83, 3, 291-310, (1992) Parametrization (Chow and Hilbert schemes), Plane and space curves, Families, moduli of curves (algebraic), Projective techniques in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Parametrization (Chow and Hilbert schemes), Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)

0

Families, moduli of curves (algebraic), Picard groups C. Faber and R. Pandharipande, \textit{Hodge integrals and Gromov-Witten theory}, math.AG/9810173. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles

0

Families, moduli of curves (algebraic), Picard groups Greuel, G.-M., Pfister, G.: Moduli spaces for torsion free modules on curve singularities I. J. of Algebraic Geometry2, 81--135 (1993) Families, moduli of curves (algebraic), Singularities of curves, local rings, Grassmannians, Schubert varieties, flag manifolds, Singularities in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Logarithmic algebraic geometry, log schemes, Combinatorial aspects of tropical varieties, Geometric aspects of tropical varieties

0

Families, moduli of curves (algebraic), Picard groups Jacobians, Prym varieties, Singularities of curves, local rings, Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)

0

Families, moduli of curves (algebraic), Picard groups Strømme, S A, On parametrized rational curves in Grassmann varieties., Lecture Notes in Math, 1266, 251-272, (1987) Grassmannians, Schubert varieties, flag manifolds, Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations, Algebraic moduli problems, moduli of vector bundles

0

Families, moduli of curves (algebraic), Picard groups Special surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Projective techniques in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences

0

Families, moduli of curves (algebraic), Picard groups Nollet, S., A remark on connectedness in Hilbert scheme, Communications in Algebra, 28, 5745-5747, (2000) Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Shadrin, S.: Polynomial Hurwitz numbers and intersections on M\={}0,k. Funct. anal. Appl. 37, 78-80 (2003) Rational and birational maps, Families, moduli of curves (algebraic), Polynomial rings and ideals; rings of integer-valued polynomials

0

Families, moduli of curves (algebraic), Picard groups Research exposition (monographs, survey articles) pertaining to algebraic geometry, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Rational points, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relationships between algebraic curves and integrable systems, Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions

0

Families, moduli of curves (algebraic), Picard groups Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Differentials on Riemann surfaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Algebraic functions and function fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)

0

Families, moduli of curves (algebraic), Picard groups Hirschowitz, Existence de faisceaux réflexifs de rang deux sur P3 à bonne cohomologie, Inst. Hautes Études Sci. Publ. Math. 66 pp 105-- (1988) Families, moduli of curves (algebraic), Characteristic classes and numbers in differential topology, Geometric invariant theory

0

Families, moduli of curves (algebraic), Picard groups A. Castorena., Curves of genus seven that do not satisfy the Gieseker-Petri theorem, Bolletino U.M.I,(8)8-B(2005), 697--706. Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups G. Casnati and A. Del Centina, On certain spaces associated to tetragonal curves of genus 7 and 8, Commutative algebra and algebraic geometry (Ferrara), Lecture Notes in Pure and Appl. Math., vol. 206, Dekker, New York, 1999, pp. 35 -- 45. Special divisors on curves (gonality, Brill-Noether theory), Rational and unirational varieties, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 Sphere bundles and vector bundles in algebraic topology, Determinantal varieties, Characteristic classes and numbers in differential topology, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups C. BRINKMANN , Die Andersonextension und 1-Motive , Bonner Mathematische Schriften. 223. Bonn : Univ. Bonn, Math.-Naturwiss. Fak. ( 1991 ). MR 94a:11087 | Zbl 0749.14001 Generalizations (algebraic spaces, stacks), Families, moduli of curves (algebraic), Jacobians, Prym varieties, Applications of methods of algebraic \(K\)-theory in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups [Sh4] Shustin, E.: Geometry of equisingular families of plane algebraic curves. J. Algebr. Geom.5, 209--234 (1996). Families, moduli of curves (algebraic), Singularities of curves, local rings

0

Families, moduli of curves (algebraic), Picard groups C. S. Seshadri, Degenerations of the moduli spaces of vector bundles on curves, School on Algebraic Geometry (Trieste, 1999) ICTP Lect. Notes, vol. 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000, pp. 205 -- 265. Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups M. Matsumoto, Introduction to arithmetic mapping class groups, Moduli spaces of Riemann surfaces, IAS/Park City Math. Ser. 20, American Mathematical Society, Providence (2013), 319-356. Homotopy theory and fundamental groups in algebraic geometry, Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Coverings in algebraic geometry, Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)

0

Families, moduli of curves (algebraic), Picard groups Hidalgo, R. A.; Reyes-Carocca, S.; Valdés, M. E.: Field of moduli and generalized Fermat curves, Rev. colomb. Mat. 47, No. 2, 205-221 (2013) Automorphisms of curves, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization

0

Families, moduli of curves (algebraic), Picard groups Automorphisms of curves, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups 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

Families, moduli of curves (algebraic), Picard groups Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Equivariant homology and cohomology in algebraic topology

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Topological properties in algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Applications of manifolds of mappings to the sciences

0

Families, moduli of curves (algebraic), Picard groups Saïdi, M.: Wild ramification and a vanishing cycles formula. J. algebra 273, No. 1, 108-128 (2004) Families, moduli, classification: algebraic theory, Families, moduli of curves (algebraic), Singularities in algebraic geometry

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives

0

Families, moduli of curves (algebraic), Picard groups Bertram A., Cavalieri R., Todorov G.: Evaluating tautological classes using only Hurwitz numbers. Trans. Amer. Math. Soc. 360(11), 6103--6111 (2008) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups Carr, S.: A polygonal presentation of \({Pic(\overline{\mathfrak{M}}_{0,n})}\) , (2009). arXiv:0911.2649 Algebraic moduli problems, moduli of vector bundles, Minimal model program (Mori theory, extremal rays), Families, moduli of curves (algebraic)

0

Families, moduli of curves (algebraic), Picard groups \(K3\) surfaces and Enriques surfaces, Varieties over finite and local fields, Brauer groups of schemes, Group actions on varieties or schemes (quotients), Picard groups

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives

0

Families, moduli of curves (algebraic), Picard groups Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory)

0

Families, moduli of curves (algebraic), Picard groups Families, moduli of curves (algebraic), Stacks and moduli problems, Singularities of curves, local rings, Riemann surfaces; Weierstrass points; gap sequences

0