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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Morrison, D.R.: Through the looking glass. In: Mirror Symmetry III, American Mathematical Society and International Press, pp. 263--277 (1999). http://arxiv.org/abs/alg-geom/9705028 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Angel, PL; Müller-Stach, S, The transcendental part of the regulator map for \({K}_1\) on a mirror family of K3-surfaces, Duke Math. J., 112, 581-598, (2002) Algebraic cycles, Arithmetic algebraic geometry (Diophantine geometry), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Calabi-Yau theory (complex-analytic aspects), Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L.B. Anderson, J. Gray, S.J. Lee, Y.H. He and A. Lukas, \textit{A 2009 'CICY package'}. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) E. Markman, Modular Galois covers associated to symplectic resolutions of singularities , preprint, Global theory and resolution of singularities (algebro-geometric aspects), Deformations of complex structures, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) C. Bartocci, U. Bruzzo, D. Hernández Ruipérez, J.M. Muñoz Porras, Mirror symmetry on K3 surfaces via Fourier-Mukai transform, Comm. Math. Phys. 195 1 79-93 (1998), also alg-geom 9704023. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Deformations of complex structures, Applications of compact analytic spaces to the sciences, Supervarieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Applications of differential geometry to physics, Supersymmetric field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) D.R. Morrison, The Geometry Underlying Mirror Symmetry, alg-geom/9608006. Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic 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) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Compact Riemann surfaces and uniformization, Kähler manifolds, Kähler-Einstein manifolds, Calabi-Yau theory (complex-analytic aspects), Applications of compact analytic spaces to the sciences, Calabi-Yau manifolds (algebro-geometric aspects), Fano varieties, Global differential geometry of Hermitian and Kählerian manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Dine and E. Silverstein, \textit{New M-theory backgrounds with frozen moduli}, \textit{Submitted to: Phys. Lett.} (1997) [hep-th/9712166] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Paul S. Aspinwall, Tom Bridgeland, Alastair Craw, Michael R. Douglas, Anton Kapustin, Gregory W. Moore, Mark Gross, Graeme Segal, Balázs Szendröi, and P. M. H. Wilson. Dirichlet branes and mirror symmetry, volume 4 of Clay Mathematics Monographs. AMS, Providence, RI, 2009. Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects), Applications of deformations of analytic structures to the sciences, String and superstring theories in gravitational theory, Topological field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Noncommutative geometry methods in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Minimal model program (Mori theory, extremal rays), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) GN7 V.A. Gritsenko and V.V. Nikulin, \emph The arithmetic mirror symmetry and Calabi--Yau manifolds. Comm. Math. Phys. \textbf 210 (2000), 1--11 (see also arXiv:alg-geom/9612002). Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Automorphic forms in several complex variables, Calabi-Yau theory (complex-analytic 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, Calabi-Yau manifolds (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Aganagic and S. Shakirov, \textit{Refined Chern-Simons theory and topological string}, arXiv:1210.2733 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bordism and cobordism theories and formal group laws in algebraic topology, Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism), Adams spectral sequences, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Research exposition (monographs, survey articles) pertaining to algebraic topology
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P.R. Merkx, \textit{Classifying global symmetries of} 6\textit{D SCFTs}, \textit{JHEP}\textbf{03} (2018) 163 [arXiv:1711.05155] [INSPIRE]. Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DOI: 10.2140/pjm.2002.203.139 Calabi-Yau theory (complex-analytic aspects), Lagrangian submanifolds; Maslov index, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) D. Joyce, \textit{A new construction of compact 8-manifolds with holonomy} Spin(7), \textit{J. Diff. Geom.}\textbf{53} (1999) 89 [math/9910002] [INSPIRE]. Issues of holonomy in differential geometry, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Rossi, M.: Geometric transitions. J. Geom. Phys. \textbf{56}, 1940 (2006). arXiv:math/0412514 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) S. Donaldson, Calabi-Yau metrics on Kummer surfaces as a model gluing problem, preprint, arXiv:1007.4218. Calabi-Yau theory (complex-analytic aspects), Methods of global Riemannian geometry, including PDE methods; curvature restrictions, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Compact complex surfaces, Global differential geometry of Hermitian and Kählerian manifolds, Elliptic equations on manifolds, general theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Zhang, Y., Rigidity for families of polarized Calabi-Yau varieties, J. Differ. Geom., 68, 185-222, (2004) Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli, classification: algebraic theory, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Robles-Llana, D.; Roček, M.; Saueressig, F.; Theis, U.; Vandoren, S., Nonperturbative corrections to 4D string theory effective actions from SL(2, \( \mathbb{Z} \)) duality and supersymmetry, Phys. Rev. Lett., 98, 211602, (2007) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Compact Kähler manifolds: generalizations, classification
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Corti, A; Smith, I, Conifold transitions and Mori theory, Math. Res. Lett., 12, 767-778, (2005) Minimal model program (Mori theory, extremal rays), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Global theory of symplectic and contact manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lian, Bong H.; Yau, Shing-Tung, The \(n\)th root of the mirror map.Calabi-Yau varieties and mirror symmetry, Toronto, ON, 2001, Fields Inst. Commun. 38, 195-199, (2003), Amer. Math. Soc., Providence, RI Varieties over finite and local fields, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, \(p\)-adic differential equations, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Generalized hypergeometric series, \({}_pF_q\)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Liu, K; Todorov, A; Yau, S-T; etal., Shafarevich's conjecture for CY manifolds, Pure Appl Math Q, 1, 28-67, (2005) Calabi-Yau manifolds (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Families, moduli, classification: algebraic theory, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Homogeneous complex manifolds, Global differential geometry of Hermitian and Kählerian manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fayyazuddin, A.: Calabi--Yau 3-folds from 2-folds, Class. quant. Grav. 24, 3151 (2007) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories in gravitational theory, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Douglas, Michael R.; Karp, Robert L.; Lukic, Sergio; Reinbacher, René, Numerical Calabi-Yau metrics, J. Math. Phys., 49, 3, 032302, 19 pp., (2008) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Software, source code, etc. for problems pertaining to several complex variables and analytic spaces, Special Riemannian manifolds (Einstein, Sasakian, etc.), Approximation algorithms
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Quantization of the gravitational field, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Perturbative methods of renormalization applied to problems in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of differential geometry to physics
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) J Fine, D Panov, Symplectic Calabi-Yau manifolds, minimal surfaces and the hyperbolic geometry of the conifold, J. Differential Geom. 82 (2009) 155 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Symplectic manifolds (general theory), Twistor methods in differential geometry, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Oliveira, G., Calabi-Yau monopoles for the stenzel metric, Comm. Math. Phys., 341, 699-728, (2016) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Yang-Mills and other gauge theories in quantum field theory, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Tosatti, V., Limits of Calabi-Yau metrics when the Kähler class degenerates, J. Eur. Math. Soc. (JEMS), 11, 755-776, (2009) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Kähler-Einstein manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Aleshkin, K.; Belavin, A., Special geometry on the 101 dimesional moduli space of the quintic threefold, JHEP, 03, 018, (2018) String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Doran, C.F., Favero, D., Kelly, T.L.: Equivalences of families of stacky toric Calabi-Yau hypersurfaces (2015). arXiv:1503.04888 Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Nigel~J. Hitchin. The moduli space of special Lagrangian submanifolds. \(Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)\), 25(3-4):503-515 (1998), 1997. Dedicated to Ennio De Giorgi. Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Calibrations and calibrated geometries, Lagrangian submanifolds; Maslov index, Moduli problems for differential geometric structures, Embedding theorems for complex manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DOI: 10.1142/S0217751X03016136 Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Structure of families (Picard-Lefschetz, monodromy, etc.)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) V. Gritsenko, \textit{Complex vector bundles and Jacobi forms}, math/9906191 [INSPIRE]. Jacobi forms, Relations with algebraic geometry and topology, Almost complex manifolds, Elliptic genera, Calabi-Yau theory (complex-analytic aspects), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Dabholkar, Atish; Hull, Chris, Generalised T-duality and non-geometric backgrounds, J. high energy phys., 05, 009, (2006), arXiv:hep-th/0512005, http://dx.doi.org/10.1088/1126-6708/2006/05/009 String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Period matrices, variation of Hodge structure; degenerations
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. Strominger, Shing-Tung Yau, and E. Zaslow 2001 Mirror symmetry is \(T\)-duality \textit{Winter School on Mirror Symmetry}\textit{Cambridge, MA 1999} AMS/IP Stud. Adv. Math. 23 Amer. Math. Soc., Providence, RI 333--347 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, Calabi-Yau theory (complex-analytic aspects), Moduli problems for differential geometric structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Haghighat, B.; Yan, W.; Yau, S-T, ADE string chains and mirror symmetry, JHEP, 01, 043, (2018) Topological field theories in quantum mechanics, String and superstring theories in gravitational theory, Kaluza-Klein and other higher-dimensional theories, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), \(3\)-folds, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Kontsevich, Maxim, Homological algebra of mirror symmetry, (Proceedings of the International Congress of Mathematicians, vol. 1, 2 (Zürich, 1994) (Basel), (1995), Birkhäuser), 120-139 Symplectic aspects of Floer homology and cohomology, Transcendental methods of algebraic geometry (complex-analytic aspects), Variation of Hodge structures (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Deformations of complex structures, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
1
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Andreas, B.; García-Fernández, M., Note on solutions of the Strominger system from unitary representations of cocompact lattices of SL(2,\(\mathbb{C}\)), Commun. Math. Phys., 332, 1381-1383, (2014) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Sheaves and cohomology of sections of holomorphic vector bundles, general results
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lawson, H. B., Stokes' Theorem and Minimal Surfaces, Contemp. Math., 395, Amer. Math. Soc., Providence, RI, 2006, 67-82. Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), History of differential geometry, History of algebraic geometry
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) de Bartolomeis, P.: Geometric Structures on Moduli Spaces of Special Lagrangian Submanifolds. Ann. di Mat. Pura ed Applicata, IV, vol. 179, 361--382 (2001) Calibrations and calibrated geometries, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Lagrangian submanifolds; Maslov index, Moduli problems for differential geometric structures
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) R. Argurio and M. Bertolini, \textit{The gravity dual of a finite cascade}, work in progress. String and superstring theories in gravitational theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau manifolds (algebro-geometric aspects), Deformations of complex structures, Fano varieties
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Headrick, M.; Nassar, A., Energy functionals for Calabi-Yau metrics, Adv. Theor. Math. Phys., 17, 867, (2013) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Existence theories for free problems in two or more independent variables
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bryan, J.; Pandharipande, R., Curves in Calabi-Yau threefolds and topological quantum field theory, Duke Math. J., 126, 2, 369-396, (2005) 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), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) T.W. Grimm, K. Mayer and M. Weissenbacher, \textit{Higher derivatives in type II and M-theory on Calabi-Yau threefolds}, arXiv:1702.08404 [INSPIRE]. Supergravity, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Supersymmetric field theories in quantum mechanics, Local differential geometry of Hermitian and Kählerian structures, Relativistic gravitational theories other than Einstein's, including asymmetric field theories
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) R. Eager, K. Hori, J. Knapp and M. Romo, \textit{Beijing lectures on the grade restriction rule}, to appear in \textit{Chin. Ann. Math. Ser. B}. Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Maxim Kontsevich and Yan Soibelman. Homological mirror symmetry and torus fibrations. In \(Symplectic geometry and mirror symmetry (Seoul, 2000)\), pages 203-263. World Sci. Publ., River Edge, NJ, 2001. Calabi-Yau manifolds (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) P. Koerber, \textit{Lectures on Generalized Complex Geometry for Physicists}, \textit{Fortsch. Phys.}\textbf{59} (2011) 169 [arXiv:1006.1536] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory, Supersymmetric field theories in quantum mechanics, Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Applications of deformations of analytic structures to the sciences, Differentiable functions on analytic spaces, differentiable spaces, Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Ossa, X.; Larfors, M.; Svanes, EE, Exploring SU(3) structure moduli spaces with integrable G\_{}\{2\} structures, Adv. Theor. Math. Phys., 19, 837, (2015) Supergravity, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Quantum field theory on curved space or space-time backgrounds, Applications of differential geometry to physics, Einstein's equations (general structure, canonical formalism, Cauchy problems), Topological characterizations of particular spaces, General properties and structure of complex Lie groups
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, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Random matrices (algebraic aspects)
0
Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) History of several complex variables and analytic spaces, History of algebraic geometry, History of mathematics in the 20th century, Calabi-Yau theory (complex-analytic 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) Gross, M.; Hacking, P.; Keel, S., Mirror symmetry for log Calabi-Yau surfaces I, Publ. Math. Inst. Hautes Études Sci., 122, 65-168, (2015) Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Bryant, R. L.: Some examples of special lagrangian tori, Adv. Theor. Math. Phys. 3 (1999), 83--90. Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Lagrangian submanifolds; Maslov index, Calibrations and calibrated geometries
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) L. Anderson, X. Gao, J. Gray and S.J. Lee, \textit{The favorable CICY List and its fibrations}, http://www1.phys.vt.edu/cicydata/. String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Yu. I. Manin, ``Moduli, motives, mirrors'' in European Congress of Mathematics, Vol. I (Barcelona, 2000) , Progr. Math. 201 , Birkhäuser, Basel, 2001, 53--73. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Calabi-Yau theory (complex-analytic aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Motivic cohomology; motivic homotopy theory, History of algebraic geometry, History of mathematics in the 20th century
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Gross, ''Topological mirror symmetry,'' Invent. Math., vol. 144, iss. 1, pp. 75-137, 2001. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Global differential geometry of Hermitian and Kählerian manifolds, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Lagrangian submanifolds; Maslov index, Relationships between surfaces, higher-dimensional varieties, and physics
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Cicoli, M.; Krippendorf, S.; Mayrhofer, C.; Quevedo, F.; Valandro, R., The web of D-branes at singularities in compact Calabi-Yau manifolds, JHEP, 05, 114, (2013) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects), String and superstring theories in gravitational 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) Calabi-Yau theory (complex-analytic aspects), Compact Kähler manifolds: generalizations, classification, Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Braun, V., The 24-cell and Calabi-Yau threefolds with Hodge numbers (1, 1), JHEP, 05, 101, (2012) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Popovici, D.: Aeppli cohomology classes associated with Gauduchon metrics on compact complex manifolds. Bulletin de la Société Mathématique de France \textbf{143}(4), 763-800 Global differential geometry of Hermitian and Kählerian manifolds, Calabi-Yau theory (complex-analytic aspects), Deformations of complex structures, Transcendental methods, Hodge theory (algebro-geometric aspects)
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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), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau theory (complex-analytic aspects), Fibrations, degenerations in algebraic geometry
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Fu, J. X., On non-Kähler Calabi-Yau threefolds with balanced metrics, Proceedings of the International Congress of Mathematicians., II, 705-716, (2010) Calabi-Yau theory (complex-analytic aspects), Complex Monge-Ampère operators, 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) Calabi-Yau theory (complex-analytic 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) Hosono, S., Takagi, H.: Double quintic symmetroids, Reye congruences, and their derived equivalence. arXiv:1302.5883 Calabi-Yau theory (complex-analytic 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) Markman, E.; Yoshioka, K., A proof of the Kawamata-morrison cone conjecture for holomorphic symplectic varieties of \(K 3^{[n]}\) or generalized Kummer deformation type, Int. Math. Res. Not., 2015, 24, 13563-13574, (2015) Calabi-Yau manifolds (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mark Gross and Bernd Siebert. Affine manifolds, log structures, and mirror symmetry. \(Turkish J. Math.\), 27(1):33-60, 2003. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) M. Kühnel \({ref.surNamesEn}, Calabi-Yau-threefolds with Picard number \)\({\rho}\)(X) = 2\( and their K\"ahler cone I,, \)Math. Z.\(, 245, 233, (2003)\) Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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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), Calibrations and calibrated geometries, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) F. Bonetti and T.W. Grimm, \textit{Six-dimensional} (1\(,\) 0) \textit{effective action of F-theory via M-theory on Calabi-Yau threefolds}, \textit{JHEP}\textbf{05} (2012) 019 [arXiv:1112.1082] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Research exposition (monographs, survey articles) pertaining to differential geometry, Calabi-Yau theory (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, 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) P. Gauduchon, Hirzebruch surfaces and weighted projective planes, Riemannian topology and geometric structures on manifolds, Progr. Math. 271, Birkhäuser, Boston (2009), 25-48. Calabi-Yau theory (complex-analytic aspects), Rational and ruled surfaces, 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) P. M. H. Wilson, ``Metric limits of Calabi-Yau manifolds'' in The Fano Conference (Turin, 2002) , University of Turin, Turin, 2004, 793-804. Calabi-Yau theory (complex-analytic 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) Donaldson, S.K.: Symmetric spaces, Kähler geometry and Hamiltonian dynamics. In: Northern California Symplectic Geometry Seminar. American Mathematical Society Translations: Series 2, vol. 196, pp. 13-33. American Mathematical Society, Providence (1999) Calabi-Yau theory (complex-analytic 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) J. Cao and S.-C. Chang, \textit{The modified Calabi-Yau problems for CR-manifolds and applications}, arXiv:0801.3431. Global differential geometry of Hermitian and Kählerian manifolds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Kähler manifolds
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Mark Gross. Special Lagrangian fibrations. II. Geometry. A survey of techniques in the study of special Lagrangian fibrations. In \(Surveys in differential geometry: differential geometry inspired by string theory\), volume~5 of \(Surv. Differ. Geom.\), pages 341-403. Int. Press, Boston, MA, 1999. Calabi-Yau manifolds (algebro-geometric aspects), Calibrations and calibrated geometries, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) T. Minagawa, Deformations of {\mathbb{Q}}-Calabi-Yau 3-folds and {\mathbb{Q}}-Fano 3-folds of Fano index 1, J. Math. Sci. Univ. Tokyo 6 (1999), no. 2, 397-414. Deformations of singularities, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Vector bundles on curves and their moduli, Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli of curves (algebraic), Calabi-Yau theory (complex-analytic aspects)
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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, Calabi-Yau theory (complex-analytic aspects), Topological field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Local differential geometry of Hermitian and Kählerian structures
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) A. N. Tyurin, ``Nonabelian analogues of Abel/s theorem,'' Izvestiya: Mathematics, vol. 65, no. 1, pp. 123-180, 2001. Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau theory (complex-analytic aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Hohenegger, S.; Iqbal, A.; Rey, S-J, Dual little strings from F-theory and flop transitions, JHEP, 07, 112, (2017) String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Space-time singularities, cosmic censorship, etc., Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Liu, K; Todorov, A; Yau, S-T; etal., Finiteness of subfamilies of Calabi-Yau \(n\)-folds over curves with maximal length of Yukawa-coupling, Pure Appl Math Q, 4, 1585-1598, (2011) Calabi-Yau manifolds (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry, Special algebraic curves and curves of low genus, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Lawrie, C.; Schäfer-Nameki, S.; Weigand, T., The gravitational sector of 2d (0, 2) F-theory vacua, JHEP, 05, 103, (2017) String and superstring theories in gravitational theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Geometry and quantization, symplectic methods, Quantization of the gravitational field, Anomalies in quantum field theory
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Scheidegger, Emanuel, Analytic continuation of hypergeometric functions in the resonant case, (None) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Hypersurfaces and algebraic geometry, Relationships between surfaces, higher-dimensional varieties, and physics, Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) Yau, S. -T.: A survey of Calabi-Yau manifolds. Surveys in differential geometry XIII, 277-318 (2009) Research exposition (monographs, survey articles) pertaining to differential geometry, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects)
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Deformations of complex structures, Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects) DOI: 10.1007/s00220-011-1285-y Global differential geometry of Hermitian and Kählerian manifolds, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Applications of Lie (super)algebras to physics, etc., Applications of global differential geometry to the sciences
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