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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cynk S., Meyer C.: Modular Calabi--Yau threefolds of level eight. Int. J. Math. 18(3), 331--347 (2007) Calabi-Yau manifolds (algebro-geometric aspects), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Edward Lee, A modular quintic Calabi--Yau threefold of level 55. Preprint. Moduli, classification: analytic theory; relations with modular forms, Relations with algebraic geometry and topology, Calabi-Yau manifolds (algebro-geometric aspects), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex-analytic moduli problems, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Oka, M.: Non-Degenerate Complete Intersection Singularity. Actualités Mathématiques. Herman, Paris (1997) Toric varieties, Newton polyhedra, Okounkov bodies, Complete intersections, Singularities in algebraic geometry, Deformations of complex structures, Research exposition (monographs, survey articles) pertaining to algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Issues of holonomy in differential geometry, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ahlgren, Scott and Ono, Ken, Modularity of a certain {C}alabi--{Y}au threefold, Monatshefte für Mathematik, 129, 3, 177-190, (2000) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Calabi-Yau manifolds (algebro-geometric aspects), Varieties over finite and local fields
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bini, G., Favale, F.F., Neves, J., Pignatelli, R.: New examples of Calabi-Yau 3-folds and genus zero surfaces. Commun. Contemp. Math. \textbf{16}(2), 1350010 (2014). 10.1142/S0219199713500107 Surfaces of general type, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. Borchmann, C. Mayrhofer, E. Palti and T. Weigand, SU(5) \textit{Tops with Multiple} U(1)\textit{s in F-theory}, \textit{Nucl. Phys.}\textbf{B 882} (2014) 1 [arXiv:1307.2902] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. Kollar, \textit{Deformations of elliptic Calabi-Yau manifolds}, arXiv:1206.5721 [INSPIRE]. Families, moduli, classification: algebraic theory, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Quantization in field theory; cohomological methods, Geometry and quantization, symplectic methods, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Model quantum field theories, Renormalization group methods applied to problems in quantum field theory, Spinor and twistor methods applied to problems in quantum theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories in gravitational theory, Topological field theories in quantum mechanics, Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Compact complex surfaces, Special surfaces, Deformations of complex structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supersymmetric field theories in quantum mechanics, Vertex operators; vertex operator algebras and related structures, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Quadratic forms over global rings and fields
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gross, M.: The Strominger-Yau-Zaslow Conjecture: From Torus Fibrations to Degenerations, Algebraic Geometry|Seattle 2005. Part 1, Proc. Sympos. Pure Math., vol. 80. Am. Math. Soc., Providence, RI, pp. 149-192 (2009) Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Hebecker, P. Mangat, F. Rompineve and L.T. Witkowski, \textit{Winding out of the Swamp: Evading the Weak Gravity Conjecture with F-term Winding Inflation?}, \textit{Phys. Lett.}\textbf{B 748} (2015) 455 [arXiv:1503.07912] [INSPIRE]. Relativistic cosmology, String and superstring theories in gravitational theory, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supergravity, Finite-dimensional groups and algebras motivated by physics and their representations, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Misra A., Int. J. Mod. Phys. 19 pp 1441-- 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, String and superstring theories in gravitational theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Avram, A. C.; Kreuzer, M.; Mandelberg, M.; Skarke, H., Searching for \(K3\) fibrations, Nuclear Phys. B, 494, 3, 567-589, (1997) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Compact complex \(n\)-folds, Applications of compact analytic spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Givental, A.: \textit{Elliptic Gromov-Witten invariants and the generalized mirror conjecture}. Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), River Edge, NJ: World Sci. Publ., 1998, pp. 107-155 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Equivariant homology and cohomology in algebraic topology, Local complex singularities, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Berglund, P., Henningson, M.: On the elliptic genus and mirror symmetry. In: Greene, B., Yau, S. (eds.) Mirror Symmetry II, pp. 115-127. AMS, New York (1994). arXiv:hep-th/9406045 [hep-th] String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of compact analytic spaces to the sciences, Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories in gravitational theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Nagano, A; Shiga, H, Modular map for the family of abelian surfaces via elliptic K3 surfaces, Math. Nachr., 288, 89-114, (2014) Deformations of complex structures, Period matrices, variation of Hodge structure; degenerations, Theta functions and abelian varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Geometric invariant theory, Kähler-Einstein manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) C. Borcea, Calabi-Yau threefolds and complex multiplication, Essays on mirror manifolds, Int. Press, Hong Kong, 1992, p. 489-502 Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Manin, Yu. I.: Three constructions of Frobenius manifolds: a comparative study. In: Surv. Differ. Geom., vol. 7, pp. 497--554. International Press, Somerville (2000) [arXiv: math.QA/9801006] Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Other operations on complex singularities
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mulase, M. and Sulkowski, P.: Spectral curves and the Schr''odinger equations for the Eynard--Orantin recursion. Adv. Theor. Math. Phys.19 (2015), no. 5, 955--1015. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Families, moduli of curves (analytic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumeration in graph theory, Lattice points in specified regions, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Special algebraic curves and curves of low genus, Mirror symmetry (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P. Seidel. More about vanishing cycles and mutation. In K. Fukaya, Y.-G. Oh, K. Ono, and G. Tian, editors, \textit{Symplectic Geometry and Mirror Symmetry } (\textit{Pro-} \textit{ceedings of the } 4\textit{th KIAS Annual International Conference} ), pages 429--465. World Scientific, 2001. Calabi-Yau manifolds (algebro-geometric aspects), Symplectic aspects of Floer homology and cohomology
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Aganagic, M., Klemm, A., Vafa, C.: Disk instantons, mirror symmetry and the duality web. Z. Naturforsch. A \textbf{57}, 1-28 (2002). arXiv:hep-th/0105045 Topological field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau theory (complex-analytic aspects), Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Automorphisms of curves, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, Deformations of complex structures, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Period matrices, variation of Hodge structure; degenerations
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J. Bagger and E. Witten, \textit{Matter Couplings in N} = 2 \textit{Supergravity}, \textit{Nucl. Phys.}\textbf{B 222} (1983) 1 [INSPIRE]. Global differential geometry of Hermitian and Kählerian manifolds, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to differential geometry, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Tsuboi: Locally trivial displacements of analytic subvarieties with ordinary singularities. Proc. Japan Acad., 61A, 270-273 (1985). Deformations of complex structures, Complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Singularities of surfaces or higher-dimensional varieties, Structure of families (Picard-Lefschetz, monodromy, etc.)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Relations with random matrices, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic ground fields for abelian varieties, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Rational and birational maps, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hosono, Shinobu and Lian, Bong H. and Oguiso, Keiji and Yau, Shing-Tung, Autoequivalences of derived category of a {\(K3\)} surface and monodromy transformations, Journal of Algebraic Geometry, 13, 3, 513-545, (2004) \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \(4\)-folds, Lattice points in specified regions, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Abe M., Sato M.: Calabi--Yau manifolds by Borcea--Voisin method. J. Math. Phys. 41(5), 3045--3056 (2000) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Aganagic, M.; Mariño, M.; Vafa, C., All loop topological string amplitudes from Chern-Simons theory, Commun. Math. Phys., 247, 467, (2004) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Eta-invariants, Chern-Simons invariants
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Supersymmetric field theories in quantum mechanics, Local differential geometry of Hermitian and Kählerian structures, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Andrei Căldăraru, Non-birational Calabi-Yau threefolds that are derived equivalent, Internat. J. Math. 18 (2007), no. 5, 491 -- 504. Minimal model program (Mori theory, extremal rays), Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) The standard model on the quintic, arXiv:hep-th/0210083. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Kaluza-Klein and other higher-dimensional theories, Supersymmetric field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Unified quantum theories, Research exposition (monographs, survey articles) pertaining to quantum theory, Relationships between surfaces, higher-dimensional varieties, and physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Topological field theories in quantum mechanics, Gravitational interaction in quantum theory, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Anomalies in quantum field theory, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Günther, H.; Herrmann, C.; Louis, J., Quantum corrections in the hypermultiplet moduli space, Fortsch. Phys., 48, 119-123, (2000) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) V. V. Golyshev, ''Riemann-Roch Variations,'' Izv. Ross. Akad. Nauk, Ser. Mat. 65(5), 3--32 (2001) [Izv. Math. 65, 853--881 (2001)]. Calabi-Yau manifolds (algebro-geometric aspects), Riemann-Roch theorems
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P. Huber, M. Lindner and W. Winter, \textit{Simulation of long-baseline neutrino oscillation experiments with GLoBES (General Long Baseline Experiment Simulator)}, \textit{Comput. Phys. Commun.}\textbf{167} (2005) 195 [hep-ph/0407333] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Kaluza-Klein and other higher-dimensional theories, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Symmetry breaking in quantum theory, Unified quantum theories, Calabi-Yau manifolds (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Automorphisms of surfaces and higher-dimensional varieties, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Katz, SH; Vafa, C., Geometric engineering of N\ =\ 1 quantum field theories, Nucl. Phys., B 497, 196, (1997) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Applications of compact analytic spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gómez-Mont, X.: Transverse deformations of holomorphic foliations. In: The Lefschetz Cen- tennial Conference, Part I (Mexico City, 1984), Contemp. Math. 58, Amer. Math. Soc., Prov- idence, RI, 127-139 (1986) Deformations of complex structures, Complex-analytic moduli problems, Algebraic moduli problems, moduli of vector bundles
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Andreas, M. Goodsell and A. Ringwald, \textit{Dark matter and dark forces from a supersymmetric hidden sector}, arXiv:1109.2869 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Kaluza-Klein and other higher-dimensional theories
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mirror symmetry (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Finite-type and quantum invariants, topological quantum field theories (TQFT), Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants), Characteristic classes and numbers in differential topology, Floer homology, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Eta-invariants, Chern-Simons invariants, Yang-Mills and other gauge theories in quantum field theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Formal methods and deformations in algebraic geometry, Graded rings and modules (associative rings and algebras), Homotopical algebra, Quillen model categories, derivators, Deformations of complex structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli, classification: algebraic theory, Fibrations, degenerations in algebraic geometry, \(K3\) surfaces and Enriques surfaces
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) V. P. Palamodov, ''Cohomology of analytic algebras,'' Trudy Mosk. Mat. Obshch., 44, 3--61 (1982) Analytic algebras and generalizations, preparation theorems, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Deformations of complex singularities; vanishing cycles, Deformations of complex structures, Pfaffian systems, Formal methods and deformations in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Freitag, E., Salvati Manni, R.: Some Siegel threefolds with a Calabi-Yau model. Ann. Sc. Norm. Super. Pisa, Cl. Sci. 9(4), 833--850 (2010) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Candelas, P.; Perevalov, E.; Rajesh, G., Comments on A, B, C chains of heterotic and type-II vacua, Nucl. Phys., B 502, 594, (1997) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Applications of compact analytic spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Singularities of surfaces or higher-dimensional varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ye, Y.-G.: On Fano manifolds with normal projective connections.Int. J. Math. 5 (1994), 265-271. Compact analytic spaces, Moduli, classification: analytic theory; relations with modular forms, Fano varieties, Deformations of complex structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Supergravity, Groups and algebras in quantum theory and relations with integrable systems, String and superstring theories in gravitational theory, Bosonic systems in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A.R. Mavlyutov, \textit{The Hodge structure of semiample hypersurfaces and a generalization of the monomial divisor mirror map}, math/0012208 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Transcendental methods, Hodge theory (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bo Feng, Yang-Hui He, Kristian D. Kennaway, and Cumrun Vafa. Dimer models from mirror symmetry and quivering amoebae. \textit{Adv. Theor. Math. Phys.}, 12(3):489--545, 2008. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bouchard, Vincent; Cvetič, Mirjam; Donagi, Ron, Tri-linear couplings in an heterotic minimal supersymmetric standard model, Nuclear Physics B, 745, 62-83, (2006) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Supersymmetric field theories in quantum mechanics, Unified quantum theories
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Takamura, S., Degenerations of complex curves and construction of splitting families, (in Japanese), Mini-conference on Algebraic Geometry at Saitama University, (2000). Deformations of complex structures, CR structures, CR operators, and generalizations, Infinitesimal methods in algebraic geometry, Deformations of complex singularities; vanishing cycles, Local deformation theory, Artin approximation, etc., CR manifolds as boundaries of domains, Embeddings of CR manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cvetič, M.; Donagi, R.; Klevers, D.; Piragua, H.; Poretschkin, M., F-theory vacua with \(\mathbbZ\)\_{}\{3\} gauge symmetry, Nucl. Phys., B 898, 736, (2015) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of holomorphic fiber spaces to the sciences
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Forbes, B.; Jinzenji, M., \(J\) functions, non-nef toric varieties and equivariant local mirror symmetry of curves. int, J. Mod. Phys. A, 22, 2327-2360, (2007) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic), Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Relations with algebraic geometry and topology, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Sharpe, E., \textit{notes on certain other} (0\(,\) 2) \textit{correlation functions}, Adv. Theor. Math. Phys., 13, 33, (2009) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Perturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Yang Y. H., On non-Kählerianity of nonuniform lattices in SO(n, 1)(n 4), Manuscripta Mathematica, 2000, 103:401--407 Group structures and generalizations on infinite-dimensional manifolds, Harmonic maps, etc., Calabi-Yau theory (complex-analytic aspects), Coverings in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) doi:10.2478/s11533-009-0063-y Singularities in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Emam, MH, Five dimensional 2-branes and the universal hypermultiplet, Nucl. Phys., B 817, 208, (2009) String and superstring theories in gravitational theory, Supergravity, Classical hypergeometric functions, \({}_2F_1\), Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Borcea C. (1984) Moduli for Kodaira surfaces. Compositio Math. 52(3): 373--380 Families, moduli, classification: algebraic theory, Complex Lie groups, group actions on complex spaces, Deformations of complex structures, Special surfaces, Compact complex surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Deformations of complex structures, Deformations and infinitesimal methods in commutative ring theory, Formal methods and deformations in algebraic geometry, Global differential geometry of Hermitian and Kählerian manifolds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Calabi-Yau manifolds (algebro-geometric aspects), Other Dirichlet series and zeta functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Toric varieties, Newton polyhedra, Okounkov bodies, Hypersurfaces and algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Katz, Gromov-Witten Invariants via Algebraic Geometry, preprint. Enumerative problems (combinatorial problems) in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Alim, M.; etal., Type II/F-theory superpotentials with several deformations and N\ =\ 1 mirror symmetry, JHEP, 06, 103, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Nonperturbative methods of renormalization applied to problems in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Applications to coding theory and cryptography of arithmetic geometry, Cryptography, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Rational and birational maps, Rationality questions in algebraic geometry, Finite ground fields in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Braun, V., Discrete Wilson lines in F-theory, Adv. High Energy Phys., 2011, 404691, (2011) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Yang-Mills and other gauge theories in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cynk, Sławomir; van Straten, Duco, Small resolutions and non-liftable Calabi-Yau threefolds, Manuscripta Math., 0025-2611, 130, 2, 233-249, (2009) Calabi-Yau manifolds (algebro-geometric aspects), Local deformation theory, Artin approximation, etc., Singularities of surfaces or higher-dimensional varieties
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Herbst, M., On higher rank coisotropic A-branes, J. Geom. Phys., 62, 156, (2012) Mirror symmetry (algebro-geometric aspects), Symplectic manifolds (general theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Ikeda, 'Stability conditions on CYN categories associated to An-quivers and period maps', \textit{Math. Ann.}367 (2017) 1-49. Calabi-Yau manifolds (algebro-geometric aspects), Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Representations of associative Artinian rings, Derived categories and associative algebras
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) B.R. Greene, K.H. Kirklin, P.J. Miron and G.G. Ross, \textit{A three generation superstring model. 2. Symmetry breaking and the low-energy theory}, \textit{Nucl. Phys.}\textbf{B 292} (1987) 606 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories in gravitational theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) He, Y-H; Matti, C.; Sun, C., The scattering variety, JHEP, 10, 135, (2014) Equations of motion in general relativity and gravitational theory, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties, \(K3\) surfaces and Enriques surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Gouvêa, Fernando Q. and Yui, Noriko, Rigid {C}alabi--{Y}au threefolds over {\(\mathbb Q\)} are modular, Expositiones Mathematicae, 29, 1, 142-149, (2011) Calabi-Yau manifolds (algebro-geometric aspects), Fourier coefficients of automorphic forms, Modular and automorphic functions, Holomorphic modular forms of integral weight
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Doran, Charles F.; Harder, Andrew; Novoseltsev, Andrey Y.; Thompson, Alan, Families of lattice polarized K3 surfaces with monodromy, Int. Math. Res. Not. IMRN, 23, 12265-12318, (2015) \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties, Families, moduli, classification: algebraic theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Rational and birational maps
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Goldstein, No article title, Commun. Anal. Geom., 10, 127, (2002) Lagrangian submanifolds; Maslov index, Calabi-Yau manifolds (algebro-geometric aspects), Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Etingof, P., Ginzburg, V.: Noncommutative del Pezzo surfaces and Calabi--Yau algebras. arXiv:0709.3593 Deformations of singularities, Elliptic curves, Calabi-Yau manifolds (algebro-geometric aspects), Cohen-Macaulay modules
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lin, H.; Wu, B. -S.; Yau, S. -T.: Heterotic string compactification and new vector bundles. Comm. math. Phys. 345, No. 2, 457-475 (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects), Unified quantum theories
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Gravitational interaction in quantum theory, Other elementary particle theory in quantum theory, Black holes, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Claire Voisin, The Griffiths group of a general Calabi-Yau threefold is not finitely generated, Duke Math. J. 102 (2000), no. 1, 151 -- 186. Calabi-Yau manifolds (algebro-geometric aspects), Algebraic cycles, Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), \(3\)-folds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Oguiso, K, A remark on the global indices of \({\mathbb{Q}}\)-Calabi-Yau 3-folds, Math. Proc. Cambridge Philos. Soc., 114, 427-429, (1993) \(3\)-folds, Divisors, linear systems, invertible sheaves, Calabi-Yau manifolds (algebro-geometric aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Toda, Y.: Bogomolov-Gieseker type inequality and counting invariants (preprint). arXiv:1112.3411 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Winkelmann, J., Complex analytic geometry of complex parallelizable manifolds, Mém. Soc. Math. Fr., vol. 72-73, (1998), Soc. Math. France Montrouge Homogeneous complex manifolds, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Discrete subgroups of Lie groups, Research exposition (monographs, survey articles) pertaining to topological groups, Automorphisms of curves, Complex multiplication and abelian varieties, Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions, Complex manifolds, Deformations of complex structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Compact analytic spaces, Discontinuous groups of transformations
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