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deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra flag manifold; Jordan structure; unipotent varieties of semi-simple algebraic groups Shayman, M. A.: Parametrization of the flags fixed by a unipotent matrix. Contemp. math. 47, 355-368 (1985)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformations of polarized varieties; deformations of morphisms; hyperelliptic varieties; generalized hyperelliptic varieties; double structures; Fano varieties; Calabi-Yau varieties; varieties of general type
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra elliptic curve; Kummer surface; Calabi-Yau manifold; representations; alternating group; dual variety; crepant solution Paranjape, K., Ramakrishnan, D.: Quotients of E n by \(\mathfrak{a}_{n+1}\) and Calabi-Yau manifolds. In: Algebra and Number Theory, pp. 90--98. Hindustan Book Agency, Delhi (2005)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra subbundles of the tangent bundle; Engel structure; complex projective \(4\)-folds Presas, F.; Solá Conde, LE, Holomorphic Engel structures, Rev. Mat. Complut., 27, 327, (2014)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra compact Kähler manifold; polarizable variation of Hodge structure; \(L^ 2\)-cohomology Kashiwara, M.; Kawai, T., Poincaré lemma for a variation of Hodge structure, Publ. Res. Inst. Math. Sci., Kyoto Univ., 23, 345-407, (1987)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra formal group; Novikov-Landweber algebra; symbol algebra; ring of rationally symplectic cobordisms; non-Stongian elements; self-conjugate manifold
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra geometric structure; minimal rational curve; variety of minimal rational tangents; tangent map; analytic continuation; Cauchy characteristic; curvature; prolongation; parallel transport; nef tangent bundle; distribution; differential system; deformation rigidity Mok, Ngaiming, Geometric structures on uniruled projective manifolds defined by their varieties of minimal rational tangents, Astérisque, 322, 151-205, (2008)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra holomorphic mapping; Torelli theorem; complex manifold; cyclic covering; deformation Joachim Wehler, Cyclic coverings: deformation and Torelli theorem, Math. Ann. 274 (1986), no. 3, 443 -- 472.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra covering of a smooth complex curve; degree; genus; limit linear series; deformation theory E. Ballico and C. Keem, On multiple coverings of irrational curves, Arch. Math. (Basel) 65 (1995), no. 2, 151--160.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra computer algebra system SINGULAR; tangent cone algorithm; Gröbner basis; ideal in a polynomial ring; standard basis; invariants of the local ring of an algebraic variety; Hilbert's syzygy theorem; deformation; dimension; multiplicity; Hilbert function G. Greuel and G. Pfister, Advances and improvements in the theory of standars bases and syzygies, Arch. Math., 1906, 66: 163--176.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; symplectic manifold; Enriques manifold J. Kim: Higher dimensional Enriques varieties with even index, Proc. Amer. Math. Soc. 141 (2013), 3701--3707.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Mordell-Weil groups of universal abelian varieties; level structure; number of rational points; set of complex multiplication fibres; fields of definition of torsion points; K3-surface with maximal Picard number
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau; complex submanifolds; Ricci flat in 6-dimensions
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Banana manifold; Gopakumar-Vafa invariants; conifold resolution; Calabi-Yau manifold
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra quintic Calabi-Yau 3-folds; polynomial structure conjecture; Gromov-Witten invariants; mirror symmetry; BCOV theory; mixed spin moduli; cohomological field theory; R-matrix
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefold; homological mirror symmetry; Pfaffian; Grassmannian; Plücker; projective dual; equivalence of categories; strongly simple; vanishing of Ext-groups Borisov, Lev; Căldăraru, Andrei, The Pfaffian-Grassmannian derived equivalence, J. Algebraic Geom., 18, 2, 201-222, (2009)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra dimer model; Calabi-Yau algebra; superpotential algebra; non-commutative crepant resolutions; geometrically consistence; algebraically consistence Broomhead, N.: Dimer models and Calabi-Yau algebras. Mem. Am. Math. Soc. \textbf{215}(1011), viii+86 (2012)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra moduli spaces of Calabi-Yau threefolds; toric geometry; \((0,2)\) superconformal field theories Aspinwall, PS; Gaines, B., Rational curves and (0, 2)-deformations, J. Geom. Phys., 88, 1, (2014)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; birational automorphism
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra semiuniversal deformation of singularity; Kac-Moody algebra; Tits system; Weyl group; irreducible representations; characters; connected components [S1] Slodowy, P.: A character approach to Looijenga's invariant theory for generalized root systems. Preprint
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra representation of Lie algebra of Cartan type; Hopf algebra; Frobenius kernel; support variety; induced module; irreducible representation; projective cover; survey; good filtrations; block structure; Cartan matrices; cohomology D. K. Nakano, Representation theory of Lie algebras of Cartan type, in, Proc. of Conference on Monster/Lie Algebras, Ohio State University
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra determinantal varieties; Cohen-Macaulay rings; approximation complex; ideal of relation; symmetric algebra; projective dimension two Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra complex manifold; Kähler manifold; line bundle; contact structure K. Frantzen and T. Peternell, On the bimeromorphic geometry of compact complex contact threefolds, Classification of algebraic varieties, EMS Ser. Congr. Rep. 277--288, Europ. Math. Soc. Zürich 2011.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra domain wall; heterotic supergravity with flux; non-compact 7-manifold; Bianchi identities; torsion; Calabi-Yau loci Ossa, X.; Larfors, M.; Svanes, EE, Exploring SU(3) structure moduli spaces with integrable G\_{}\{2\} structures, Adv. Theor. Math. Phys., 19, 837, (2015)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra algebraic group acting on a complex algebraic variety; algebra of algebraic differential operators; quotient morphism Schwarz, GW, Differential operators on quotients of simple groups, J. Algebra, 169, 248-273, (1994)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformation families of compact complex surfaces; elliptic surfaces; Milnor fibre; monodromy actions
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra strings and branes phenomenology; Calabi-Yau manifold
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; approximate Hermitian-Yang-Mills structures; Hermitian-Yang-Mills metrics; polystability; Higgs field
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Fourier-Mukai transform; moduli space of sheaves; elliptic Calabi-Yau threefolds; Donaldson-Thomas invariants Diaconescu, D. E.: Vertical Sheaves and Fourier-Mukai Transform on Elliptic Calabi-Yau Threefolds. Preprint. 2015. arXiv:1509.07749 [math.AG]
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; derived category; Hochschild cohomologyand homology; Hochschild-Kostant-Rosenberg isomorphism; tangent sheaf E. MacrÌ, M. Nieper-Wisskirchen, and P. Stellari, The module structure of Hochschild homology in some examples , C. R. Math. Acad. Sci. Paris 346 (2008), 863--866.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra complex 3-folds; real hypersurfaces; Lagrangian submanifold; Langrangian tori; Calabi-Yau manifolds; mirror symmetry; quantum field theory Bryant, R. L.: Some examples of special lagrangian tori, Adv. Theor. Math. Phys. 3 (1999), 83--90.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau fibration; elliptic threefold; moduli spaces of stable sheaves Bridgeland, Tom; Maciocia, Antony, Fourier-Mukai transforms for \(K3\) and elliptic fibrations, J. Algebraic Geom., 11, 4, 629-657, (2002)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra flux compactifications; superstring vacua; superstrings and heterotic strings; Calabi-Yau manifold L. Anderson, X. Gao, J. Gray and S.J. Lee, \textit{The favorable CICY List and its fibrations}, http://www1.phys.vt.edu/cicydata/.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefolds; Gorenstein structure
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Gromov-Witten invariant; double cover of \(\mathbb{P}^2\); Enriques surface; Enriques Calabi-Yau Maulik, D.; Pandharipande, R., New calculations in Gromov-Witten theory, Pure Appl. Math. Q., 4, 2-1, 469-500, (2008)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra smooth manifold with an involution; set of fixed points; normal bundle; Stiefel orientations; spaces with an involution; complex points of a nonsingular real algebraic variety; projective complete intersection
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra degenerations of Calabi-Yau varieties; motivic integration; motivic monodromy conjecture; motivic zeta function; triple-points-free models
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra compactification; Calabi Yau space; low energy effective supergravity theory; nonperturbative techniques; singularity structure; exchange symmetry M. Henningson and G. Moore, ''Counting Curves with Modular Forms,'' hep-th/9602154; ''Threshold corrections in K3 {\(\times\)} T2 heterotic string compactifications.'' hep-th/9608145.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra polarized Calabi-Yau manifold; moduli space; pluriharmonic map; Hodge metrics; Ricci curvature; holomorphic sectional curvature; threefold Eguchi, T., Tachikawa, Y.: Distribution of flux vacua around singular points in Calabi-Yau moduli space. J. High Energy Phys. \textbf{1}, 100 (2006) (to appear in print). 10.1088/1126-6708/2006/01/100
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra divisor; complex manifold; Milnor number; vector field; quasihomogeneous Saito singularity; cohomology groups of a complex; affine space
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra plumbing of circle bundles over compact surfaces; 3-manifolds; classification of graph manifolds; boundaries of regular neighbourhoods of isolated singularities of complex surfaces; fundamental group of the singularity link; lens spaces; torus bundles over circles; Seifert manifold; Inoue surface; link of families of curves Neumann W., A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves, Trans. Amer. Math. Soc. 268 (1981), 299-344.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra elliptic curves; \(K3\) surfaces; Calabi-Yau threefolds; CM type Calabi-Yau varieties; Galois representations; modular (cusp) forms; automorphic inductions; geometry and arithmetic of moduli spaces; Hilbert and Siegel modular forms; Families of Calabi-Yau varieties; mirror symmetry; mirror maps; Picard-Fuchs differential equations Yui, N.: Modularity of Calabi-Yau varieties: 2011 and beyond. In: Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, Fields Institute Communications, vol. 67, pp. 101-139. Springer, New York (2013)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; balanced metric; Strominger system; Yang-Mills metric; Monge-Ampère equation Fu, J. X., On non-Kähler Calabi-Yau threefolds with balanced metrics, Proceedings of the International Congress of Mathematicians., II, 705-716, (2010)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra triangulated category; Calabi-Yau category; cluster; tilting; stable category; preprojective algebra; path algebra; Frobenius categories Palu, Y., Cluster characters, II: a multiplication formula, Proc. Lond. Math. Soc., 3, 57-78, (2012)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra dimer model; toric Calabi-Yau 3-fold; variation of GIT Ishii, A., Ueda, K.: Dimer models and crepant resolutions. To appear in Hokkaido Mathematical Journal (2013). arXiv:1303.4028
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra obstruction to deformation; Picard group; Kähler manifold; Albanese map; Poincaré bundle; relative Dolbeault complex; Castelnuovo--De Franchis lemma Green, M.; Lazarsfeld, R., \textit{higher obstructions to deforming cohomology groups of line bundles}, J. Amer. Math. Soc., 4, 87-103, (1991)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra elliptic fiber space; Calabi-Yau manifold; fibration; rational curve; rational multi-section; canonical bundle formula
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra compactification of \(F\)-theory; elliptic Calabi-Yau threefolds; toric varieties; algorithm P. Candelas, E. Perevalov and G. Rajesh, \textit{Matter from toric geometry}, \textit{Nucl. Phys.}\textbf{B 519} (1998) 225 [hep-th/9707049] [INSPIRE].
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra miniversal deformation; deformation of the Lie algebra; quasihomogeneous isolated plane curve singularity Bjar H, Laudal O A. Deformation of Lie algebras and Lie algebra of deformations, Compositio Math, 1990, 75: 69--111
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra toric varieties; fan; Kähler cone; hypersurfaces; Newton polyhedra; reflexive polytopes; mirror symmetry; Calabi Yau varieties; symmetry of Hodge numbers Cox D. A., ''Recent developments in toric geometry,'' in: Algebraic Geometry, Proceedings of the Summer Research Institute, Santa Cruz, CA, USA, July 92--29, 1995 (Proc. Symp. Pure Math. 62 (Pt. 2), Amer. Math. Soc., Providence, 1997, pp. 389--436.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra open topological string; D-brane superpotential; F-theory; compact Calabi-Yau manifold; Ooguri-Vafa invariant
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra BPS states; symplectic invariant; Calabi-Yau manifolds; K3 manifold; string theory
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Kähler metric; Ricci curvature; Kähler-Einstein metric; Monge-Ampère equation; K3 surface; mirror symmetry; symplectic geometry; Yang-Mills theory; hyper-Kähler metric; extremal Kähler metric; Calabi-Yau manifold Bourguignon, J. -P.: Eugenio Calabi and Kähler metrics. Manifolds and geometry, Proceedings of the symposium on mathematics, 61-85 (1996)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra cohomology theories of noncommutative operator algebras; Lie; algebra of infinite matrices of finite type; homological K-functor; \(C^*\)-algebras; Kasparov's KK-functor; cyclic homology; Gel'fand-Fuks cohomology theory of infinite-dimensional Lie; algebras; additive K-functor; derived functors; Chern characters; Bott periodicity; crystalline cohomology; differential graded algebra; de Rham complex; Gel'fand-Fuks cohomology theory of infinite-dimensional Lie algebras Feĭgin, Boris; Tsygan, Boris, Additive \(K\)-theory and crystalline cohomology, Funktsional. Anal. i Prilozhen., 19, 2, 52-62, 96, (1985)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra finitely many different \(K3\) fibrations; finite automorphism group; Calabi-Yau threefolds; elliptic fibrations; finiteness of birational contractions; positive second Chern class; Fano fourfold Oguiso, K.; Peternell, T., Calabi-Yau threefolds with positive second Chern class, Comm. Anal. Geom., 6, 153, (1998)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra differential and algebraic geometry; superstring vacua; superstrings and heterotic strings; space-time symmetries; Hodge numbers; Calabi-Yau manifold A. Constantin, J. Gray and A. Lukas, \textit{Hodge Numbers for All CICY Quotients}, arXiv:1607.01830 [INSPIRE].
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra connectedness of the moduli space of Calabi-Yau manifolds; toric geometry; singular Calabi-Yau manifolds Avram, A. C.; Candelas, P.; Jančić, D.; Mandelberg, M.: On the connectedness of the moduli space of Calabi-Yau manifolds. Nucl. phys. B 465, No. 3, 458-472 (1996)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra semisimple algebra over a field; action of the general linear group; Grassmannians; structure of the orbits; cubic extension field
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra structure algebra; logarithmic derivatives of nondegenerate homogeneous rational maps; LD-inversions; \(j\)-structure; Jordan algebra; structure group; prehomogeneous vector spaces DOI: 10.1080/00927879208824469
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Weil-Petersson metric; degeneration; canonical singularity; Calabi-Yau manifold; Ricci-flat
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra defect of the topological Euler characteristic; hypersurface of compact complex manifold; linear system of divisors; multiplicity of the dual variety
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Egyptian fraction; topological structure of isolated singularities of complex surfaces L. Brenton, R. Hill, On the Diophantine equation 1 = <eq> and a class of homologically trivial complex surface singularities, \textit{Pacific J. Math.} 133 (1988) 41-67.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau variety; variety of general type; syzygy; projective normality
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra nilpotent Lie group; Ricci curvature; symplectic manifold; complex structure Jorge Lauret, Minimal metrics on nilmanifolds, Differential geometry and its applications, Matfyzpress, Prague, 2005, pp. 79 -- 97.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra log Calabi-Yau pairs; geography of threefolds; projective bundles
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra torsion submodule of the Pontryagin dual of the Selmer group of an elliptic curve; complex multiplication; supersingular reduction; Iwasawa algebra Billot, P. : Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière , Compos. Math. 58 (1986), 341-369.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefold; Gromov-Witten invariants; moduli of stable sheaves
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra bound on codimension; moduli of hyperelliptic curves; universal deformation; endomorphism algebra of the Jacobian Ciliberto, C., van der Geer, G., Teixidor i Bigas, M.: On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. J. Algebr. Geom. 1, 215--229 (1992)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra resolutions of singularities; bimeromorphic class; Calabi-Yau 3-fold; Weierstrass model
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra quasi-projective manifolds; relative \(K\)-theory; holomorphic bundles; characteristic classes; Hodge-Deligne cohomology; Chern-Simons forms; Riemann-Roch theorem; vector bundles; complex analytic manifold; Deligne-Beilinson cohomology; moduli spaces of vector bundles
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra flag manifold; invariant complex structure; Chern class Kotschick, D; Terzić, S, Chern numbers and geometry of partial flag manifolds, Comment. Math. Helv., 84, 587-616, (2009)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra normal extension; Artin-Schelter regular algebra; Calabi-Yau algebra; superpotential algebra; non-commutative algebraic geometry; tensor-algebras; Gelfand-Kirillov dimension; global dimension; Cohen-Macaulay; Gorenstein; graded algebras; twisted Calabi-Yau algebras; Frobenius algebras; normal extension; twisted superpotential; superpotential; connected graded algebra; Nakayama automorphism; homological determinant
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra generic Torelli theorem; quintic threefold in projective 4-space; polarized Hodge structure; Calabi-Yau hypersurface Voisin, C, A generic Torelli theorem for the quintic threefold, London Math Soc Lecture Note Ser, 264, 425-464, (1999)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra cohomology on a real variety; restriction of complex cycles; smooth compact connected orientable manifold; algebraic model Bochnak J., Kucharz W.: Complex cycles on real algebraic models of a smooth manifold. Proc. Am. Math. Soc. 114, 1097--1104 (1992)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra moduli space of stable vector bundles; Riemann surface; Calabi-Yau hypersurface; polarisation; Jacobian; polarised varieties
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Donaldson-Thomas invariants; Calabi-Yau threefolds; abelian threefolds; moduli of sheaves; virtual fundamental classes Gulbrandsen, M.G.: Counting sheaves on Calabi-Yau and abelian threefolds. In: Laza, R., Schütt, M., Yui, N. (eds.) Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds. Fields Inst. Commun., vol. 67, pp. 535-548. Springer, New York (2013)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifold; primitive birational automorphism; dynamical degree
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra fundamental group; Kähler manifold; affine variety; cup product; Lie product; Hodge structure; Hermitian symmetric space; deformation problem Goldman, W.; Millson, J., The deformation theory of representations of fundamental groups of compact Kähler manifolds, Inst. Hautes Études Sci. Publ. Math. No., 67, 43-96, (1988)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Albanese variety; closed complex manifold; endomorphism algebra; Hodge number
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra elliptic curves; algebraic curves; group schemes; modular functions; \(L\)-functions; theta functions; Fermat's last theorem; conjecture of Birch and Swinnerton-Dyer; Shimura-Taniyama-Weil conjecture; Calabi-Yau varieties; string theory; cryptography; Hopf algebroids; elliptic cohomology Husemöller, D.: Elliptic Curves. Graduate Texts in Mathematics, 2nd edn. Springer, Berlin (2004)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra local structure of a homomorphism; Gorenstein dimension; dualizing complex; Bass series; quasi-Gorenstein homomorphism Avramov, Luchezar L.; Foxby, Hans-Bjørn, Ring homomorphisms and finite Gorenstein dimension, Proc. lond. math. soc. (3), 75, 2, 241-270, (1997), MR1455856
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Galois module; Mordell-Weil group; complex multiplication; Galois module structure; elliptic curves of CM-type
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra elliptic curve; Hamiltonian; Poisson bracket; complex structure deformation; isomonodromy deformation Chernyakov, Y.; Levin, AM; Olshanetsky, M.; Zotov, A., Elliptic schlesinger system and Painlevé VI, J. Phys., A 39, 12083, (2006)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra F-theory; superstring vacua; Calabi-Yau manifold Lawrie, C.; Schäfer-Nameki, S.; Weigand, T., The gravitational sector of 2d (0, 2) F-theory vacua, JHEP, 05, 103, (2017)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra p-adic modular forms; overconvergence; congruences; Hecke algebra; U operator; p-adic Hecke-eigenform; p-adic valuation of the eigenvalue; spectral theory; p-adic Banach spaces; universal modular deformation; irreducible Galois representation; Krull dimension; modular deformation ring Gouvêa, Arithmetic of p-adic modular forms 1304 (1988)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Landau-Ginzburg orbifolds; Calabi-Yau \(\sigma\)-models; mixed Hodge structures; spectral flow; Grothendieck's local duality; geometry of moduli spaces S. Cecotti, \textit{Geometry of N} = 2 \textit{Landau-Ginzburg families}, \textit{Nucl. Phys.}\textbf{B 355} (1991) 755 [INSPIRE].
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra preprojective algebra; Jacobi algebra; superpotential; Calabi-Yau algebra; periodic resolution
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra holomorphic line bundle; projectivization; Bott towers; torus action; irreducible representation; highest weight; moment map; complex structure; flag variety; Bott-Samelson manifold; connected compact Lie group; virtual character; multiplicities; Demazure's character formulas; Schubert varieties Michael Grossberg and Yael Karshon, Bott towers, complete integrability, and the extended character of representations, Duke Math. J. 76 (1994), no. 1, 23--58.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra semi-universal deformation; variation of Hodge structure; period map; surface of general type; Torelli problems
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra polarized Enriques surface; fake monster Lie algebra; K3 analytic discriminant; Kac-Moody algebras; Calabi-Yau varieties Jay Jorgenson and Andrey Todorov, Enriques surfaces, analytic discriminants, and Borcherds's \Phi function, Comm. Math. Phys. 191 (1998), no. 2, 249 -- 264.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformations of complex structures; co-polarisation by Gauduchon class; primitive class; Weil-Petersson metric; \( \partial \bar{\partial } \)-manifold; \(h\)-\(\partial \bar{\partial } \)-manifold; \(p\)-SKT manifold
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra webs of quadrics; Calabi-Yau manifolds
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Cartan-Lie algebra; Kac-Moody algebra; ternary algebra; Calabi-Yau geometry; Coxete-Dynkin-Berger graphs; standard models DOI: 10.1142/S0217751X0401938X
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra topological \(K\)-theory; classification of D-brane charge; non-simply-connected Calabi-Yau 3-folds; Kähler moduli space; Gepner theory; nonabelian orbifold Brunner I., Distler J. (2002). Torsion D-branes in Nongeometrical Phases. Adv. Theor. Math. Phys. 5:265--309
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra moduli of vector bundles; Calabi-Yau three folds Amilburu, C. C.; Barmeier, S.; Callander, B.; Gasparim, E., Isomorphisms of moduli spaces, Mat. Contemp., 41, 1-16, (2012)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau varieties; Calami-Yau pairs; dual complex; MMP Kollár, J; Xu, C, The dual complex of Calabi-Yau pairs, Invent. Math., 205, 527-557, (2016)
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra finite complex reflection groups; Hecke algebra; representations of reductive groups over finite fields G. I. Lehrer and T. A. Springer, Intersection multiplicities and reflection subquotients of unitary reflection groups. I, Geometric group theory down under (Canberra, 1996) de Gruyter, Berlin, 1999, pp. 181 -- 193.
0
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra derived categories; \(A\)-infinity algebra; superpotentials; Calabi-Yau Segal, E., The A\(\infty\) deformation theory of a point and the derived categories of local Calabi-yaus, J. Algebra, 320, 3232-3268, (2008)
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deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra cluster algebras; log Calabi-Yau varieties; blowups of toric varieties Arnold, V.I., Goryunov, V.V., Lyashko, O.V., Vasil'ev, V.A.: Singularity theory. I. Springer, Berlin (1998). Translated from the 1988 Russian original by A. Iacob, Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [ıt Dynamical systems. VI, Encyclopaedia Math. Sci., 6, Springer, Berlin, 1993; MR1230637 (94b:58018)]
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deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra automorphism group scheme of Lie algebra; deformation; obstruction; cohomology of Lie algebras Skryabin, S., On the automorphism group schemes of {L}ie algebras of {W}itt type, Communications in Algebra, 29, 9, 4047-4077, (2001)
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