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deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra philosophy of mathematics; history of mathematics (20th century); category theory; homological algebra; algebraic topology; algebraic geometry; foundations of mathematics Krömer, R. (2007). \textit{Tool and object: A history and philosophy of category theory}. Basel: Birkhäuser. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra quaternion algebra; set of isogeny classes of \({\mathfrak O}\)-Abelian varieties | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra asymptotic order of vanishing; ideal sheaf; level-\(n\) asympotic multiplier ideal; graded system of ideals; smooth complex variety; symbolic power of an ideal | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra finite-dimensional vector space; class; finite group; composition series; alternative groups; groups of Lie type; simple groups; algebra of invariant polynomial functions; semisimple algebraic group; Weyl group N. L. Gordeev, Coranks of elements of linear groups and the complexity of algebras of invariants, Algebra i Analiz 2 (1990), no. 2, 39 -- 64 (Russian); English transl., Leningrad Math. J. 2 (1991), no. 2, 245 -- 267. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra geometry of flags; small Schubert cell; Kac-Moody algebra; Kac-Moody group | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefold; modular forms; trace formula DOI: 10.1007/s11139-006-5305-z | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra cubic fourfold; Hodge structure; Torelli problem; variety of lines C. Voisin, Théorème de Torelli pour les cubiques de P5, Invent. Math. 86(3), 577-601 (1986) (French) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra isolated singularity; hypersurface singularity; germ of analytic hypersurface; moduli algebra; quasihomogeneous singularities Chen, H.; Xu, Y. -J.; Yau, S.: Nonexistence of negative weight derivations of moduli algebras of weighted homogeneous singularities. J. algebra 172, 243-254 (1995) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra modular QM-abelian surfaces; newform of weight two; quaternion algebra; quaternion multiplication; quaternion division algebra DOI: 10.3792/pjaa.72.23 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau variety; modularity N. Yui, Arithmetic of Calabi -- Yau varieties, Mathematisches Institut, Georg-August-Universität Göttingen, Seminars Summer Term, 2004, pp. 9 -- 29 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau varieties; toric varieties; \(K3\) surfaces; derived equivalences; Picard groups; mirror symmetry | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Galois lattice structure of the Mordell-Weil group; height pairing; L-function; Hasse zeta function; computer calculations Shioda, T.: The Galois Representations of TypeE 8 Arising from Certain Mordell-Weil Groups, Proc. Japan Acad.65A, 195--197 (1989) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau manifolds; type II string compactification A. Klemm and P. Mayr, Strong Coupling Singularities and Non-Abelian Gauge Symmetries in N = 2 String Theory, hep-th/9601014. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Jacobian of Klein quartic; complex root system Bennama H., Application aux points de Weierstrass (1996) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra complex suspension theorem; Lawson homology; generalized cycle map; joins of algebraic cycles; integral currents; Thom isomorphisms; generalized flag varieties; compact hermitian symmetric spaces; reductive group action Lima-Filho P.: On the generalized cycle map. J. Differ. Geom. 38, 105--130 (1993) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra liaison of families; obstructed curve; Hilbert scheme; Hilbert polynomial; linkage behavior under very general deformation; linkage of families Kleppe, J. O.: Liaison of families of subschemes in pn. Lecture notes in math. 1389 (1989) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Mumford-Tate domain; variation of Hodge structure; boundary component; Schubert variety M. Kerr and C. Robles, Hodge theory and real orbits in flag varieties , preprint, [math.AG]. arXiv:1407.4507v1 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Stein manifold; Oka manifold; complex affine space; holomorphic automorphism; polynomial automorphism; approximation; interpolation Forstnerič, F; Lárusson, F, Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space, Math. Res. Lett., 21, 1047-1067, (2014) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra textbook (algebraic geometry); translations of classics; schemes and morphisms; sheaves; sheaf cohomology; commutative algebra | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformation retraction; gradient flow; affine variety; singular spaces; space of representations; finite quiver | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Picard 1-motives; class groups; models of relative curves; Galois coverings; equivariant \(L\)-functions; Galois module structure; Fitting ideals | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Gromov-Witten invariants; elliptic curves; Calabi-Yau space D. Brill, \textit{Splitting of an extremal Reissner-Nordstrom throat via quantum tunneling}, \textit{Phys. Rev.}\textbf{D 46} (1992) 1560 [hep-th/9202037] [INSPIRE]. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra derived category; representations of quivers; mutations of exceptional sequences of vector bundles; helices; tilting modules; exceptional object; Koszul algebra A.~I. Bondal. Helices, representations of quivers and Koszul algebras. In \(Helices and vector bundles\), volume 148 of \(London Math. Soc. Lecture Note Ser.\), pages 75-95. Cambridge Univ. Press, Cambridge, 1990. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra geometry of differential equations; higher \(K\)-theory; Hodge theory; Abel's differential equations; deformation; algebraic cycles Green, M. L.; Griffiths, P. A., Abel's differential equations, Houston J. Math., 28, 329-351, (2002) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra supersymmetry; superstring; string theory; bosonic string; supergravity; heterotic string; weak coupling; unification; dark matter; dark energy; branes; Calabi-Yau compactification M. Dine, \textit{Supersymmetry and string theory: beyond the Standard Model}, Cambridge University Press, Cambridge U.K. (2007). | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Riemann-Roch theorem; solution of general elliptic equations; isolated singularities; compact manifold Gromov, M. and Shubin, M. A.: The Riemann--Roch theorem for general elliptic operators, C. R. Acad. Sci. Paris Sér. I Math. 314 (5) (1992), 363--367. MR MR1153716 (93b: 58138) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefolds; supercongruences | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau orbifolds; Donaldson-Thomas invariants; Gromov-Witten invariants Macdonald, I.G.: Symmetric Functions and Hall Polynomials. Oxford Mathematical Monographs, 2nd edn. The Clarendon Press Oxford University Press, New York. With contributions by A. Zelevinsky, Oxford Science Publications (1995) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Lefschetz theorems; structure of families; m-connectedness Hamm, H. A.; Lê, D. T., \textit{Lefschetz theorems on quasiprojective varieties}, Bull. Soc. Math. France, 113, 123-142, (1985) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Killing forms; Sasaki-Einstein spaces; Calabi-Yau manifolds; symplectic potential V. Slesar, M. Visinescu, G.E. Vîlcu, Symplectic potential, complex coordinates and hidden symmetries on toric Sasaki-Einstein spaces, P. Romanian Acad. A, 2015, in press. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformation theory; finite group schemes; abelian varieties; Newton polygons; automorphisms of algebraic curves | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra representations of quiver; construction of the category of perverse sheaves; closed stratum; middle perversity; barycentric subdivision; intersection homology; perverse link bundle; monodromy; Borel subgroups; reductive complex algebraic group MacPherson, R.; Vilonen, K., Elementary construction of perverse sheaves, \textit{Invent. Math.}, 84, 403-435, (1986) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau; algebraic geometry L.B. Anderson, J. Gray, A. Lukas and E. Palti, \textit{Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds}, \textit{Phys. Rev.}\textbf{D 84} (2011) 106005 [arXiv:1106.4804] [INSPIRE]. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra hyperplane arrangements; algebra of differential operators; Hochschild cohomology | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra ample vector bundles; Chern classes; Euler-Poincaré characteristic; complex projective spaces; hyperquadrics; hypercubics; positive vector bundle on projective algebraic complex manifold; closed submanifold | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra toroidal singularity; polyhedral cones; string cohomology; Cohen-Macaulay rings; mirror symmetry; Calabi-Yau hypersurfaces Borisov, LA, String cohomology of a toroidal singularity, J. Algebraic Geom., 9, 289-300, (2000) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra flag manifold; compact nonsingular projective variety; strong deformation retract; biflag manifold; Betti numbers Helmke, U.; Shayman, M.: The biflag manifold and the fixed point set of a nilpotent transformation on the flag manifold. Linear algebra appl. 92, 125-159 (1987) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra singularity; analytic map-germ; deformation of singularity Fernandes, A., Soares Jr., C. H.: On the bi-Lipschitz triviality of families of real maps. In: Real and Complex Singularities. Contemp. Math., vol. 354, pp. 95--103. Amer. Math. Soc., Providence (2004) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra mirror symmetry; Calabi-Yau threefolds; Gromov-Witten invariants; quantum cohomology; moduli spaces; string theories | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra multiplication by the class of a special Schubert variety; integral cohomology ring of the flag manifold; Pieri formual; Bruhat order Frank Sottile, Pieri's formula for flag manifolds and Schubert polynomials, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 89-110 (English, with English and French summaries). | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefolds; singular hypersurfaces; substitution tilings Escudero, J.G.: The root lattice \(A_2\) in the construction of substitution tilings and singular hypersurfaces. In: Applications of Computer Algebra. Springer Proceedings in Mathematics & Statistics, vol. 198, pp. 101-117. Springer, Cham (2017) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra field of invariants; generic stabiliser; simple Lie algebra; seaweed subalgebra Panyushev, D., An extension of raïs' theorem and seaweed subalgebras of simple Lie algebras, Ann. Inst. Fourier (Grenoble), 55, 3, 693-715, (2005) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformation of indecomposable vector bundles; instable 2-vector bundles; moduli spaces | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra modularity; Calabi-Yau varieties; mirror symmetry; zeta-functions Hulek, K.; Kloosterman, R.; Schütt, M.: Modularity of Calabi-Yau varieties, Global aspects of complex geometry, 271-309 (2006) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra morphism of complex algebraic varieties; local topological type | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Artinian algebras; smoothability; syzygies; deformation theory; punctual Hilbert schemes; Hilbert schemes of points Erman D., Velasco M.: syzygetic approach to the smoothability of 0-schemes of regularity two. Adv. Math. 224(3), 1143--1166 (2010) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Fano manifold; numerically effective vector bundle; rational homogeneous manifold; Campana-Peternell conjecture; Kähler-Einstein metric; closed positive current; regularization of currents; Schauder fixed point theorem | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra contraction of an extremal ray; Fano manifold Wiśniewski, JA, On contractions of extremal rays of Fano manifolds, J. Reine Angew. Math., 417, 141-157, (1991) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra smooth projective compactification of complex 3-space; Fano 3-fold; singular Del Pezzo surface Furushima, M.; Nakayama, N., A new construction of a compactification of \(\mathbb C^3\), Tohoku Math. J., 41, 543-560, (1989) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra continuity; Weierstrass-Hironaka division; finite order linear differential operators; complex analytic manifold Mebkhout, Z.; Narváez-Macarro, L.: Le théorème de continuité de la division dans LES anneaux d'opérateurs différentiels. J. reine angew. Math. 503, 193-236 (1998) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Abel-Jacobi map; homological projective duality; Calabi-Yau category; Hochschild homology Kuznetsov A., Manivel L., Markushevich D.: Abel--Jacobi maps for hypersurfaces and non-commutative Calabi-Yau's. Commun. Contemp. Math. 12, 373--416 (2010) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Fan-Jarvis-Ruan-Witten theory; Landau-Ginzburg/Calabi-Yau correspondence; mirror symmetry Ross, D.; Ruan, Y., Wall-crossing in genus zero Landau-Ginzburg theory, (2015) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra quantum algebra of functions; semisimple algebraic group; Schubert variety; basis; gradations V. Lakshmibai and N. Reshetikhin. ''Quantum flag and Schubert schemes''. Deformation Theory and Quantum Groups with Applications to Mathematical Physics. Contemp. Math., Vol. 134. American Mathematical Society, 1992, pp. 145--181. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra configurations of linear subspaces, differential algebra DOI: 10.2140/pjm.2001.198.501 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra existence of abelian varieties of small dimensions; endomorphism algebra; one-parameter family of polarized abelian varieties OORT (F.) and VAN DER PUT (M.) . - A construction of simple abelian varieties , Compositio Math., t. 67, n^\circ 1, 1988 , p 103-120. Numdam | MR 89j:14025 | Zbl 0656.14024 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefolds; global Torelli; polarized Hodge structures Balázs Szendrői, On an example of Aspinwall and Morrison, Proc. Amer. Math. Soc. 132 (2004), no. 3, 621 -- 632. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra normal complex surfaces; germs of complex curves; degenerating families of complex curves; Seifert manifolds; Waldhausen manifolds; fibrations over the circle Pichon, A., Fibrations sur le cercle et surfaces complexes. Ann. Inst. Fourie(Grenoble), 51:2 (2001), 337--374. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Hamiltonian flow; complete intersections; Milnor number; D-modules; Poisson homology; Poisson varieties; Milnor fibration; Calabi-Yau varieties Etingof, P; Schedler, T, Invariants of Hamiltonian flow on locally complete intersections with isolated singularities, Geom. Funct. Anal., 42, 1885-1912, (2014) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra moduli space; hyperbolic compact complex spaces; Kobayashi-Royden pseudo-metrics; property of Landau | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra L\({}_ 2\)-cohomology; variation of Hodge structure; mixed Hodge structure; nilpotent orbit theorem; period maps; intersection cohomology; purity E. Cattani and A. Kaplan, Degenerating variations of Hodge structure, Actes du colloque de théorie de Hodge (Luminy 1987), Astérisque 179/180, Société Mathématique de France, Paris (1989), 67-96. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau variety; embedding; ambient variety Mavlyutov, A. R.: Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties. Invent. Math., 157, 621--633 (2004) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Cohen-Macaulay modules; algebra of planar quasi-invariants; Calogero-Moser systems | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra crepant resolution; Landau-Ginzburg/Calabi-Yau correspondence; mirror symmetry; MLK correspondence Lee, Y., Priddis, N. and Shoemaker, M., A Proof of the Landau-Ginzburg/Calabi-Yau Correspondence via the Crepant Transformation Conjecture, 2014, arXiv:1410.5503. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra determinantal conditions; resolution of ideal; linkage; residual intersection; Koszul complex; complete intersection Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (1990) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra D-module; Kazhdan-Lusztig conjecture; representation theory of semisimple Lie groups; Hecke algebra; Weyl group; Hodge modules Tanisaki, T.: Representations of semisimple Lie groups and D-modules. Sugaku Exposi- tions 4, 43-61 (1991) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra normal function; Hermitian symmetric domain; Mumford-Tate group; variation of Hodge structure; algebraic cycle | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra monodromy; surfaces; good reduction; Calabi-Yau threefold; degeneration type | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Ricci-flat metrics; Calabi-Yau manifolds; \(G_{2}\)-structures; gluing; doubling Hein, H.-J.: Complete Calabi-Yau metrics from \({\mathbb{P}}^2\) #9 \(\overline{\mathbb{P}}^2\).arXiv:1003.2646 | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra equivariant deformation; group schemes; cotangent complex [11] S. Wewers, `` Formal deformation of curves with group scheme action {'', \(Ann. Inst. Fourier (Grenoble)\)55 (2005), no. 4, p. 1105-1165. Cedram | &MR 21 | &Zbl 1079.} | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra de Rham-Witt complex; algebraic K-theory of fields Geisser, T.; Hesselholt, L., The de Rham-Witt complex and \(p\)-adic vanishing cycles, J. Am. Math. Soc., 19, 1-36, (2006) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra \(M\)-theory; Calabi-Yau threefolds; Kähler 4-cycles | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Gopakumar-Vafa type invariants; Calabi-Yau 4-folds; Fano 3-folds | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra symmetric pair; nilpotent variety; complex simple Lie algebra Sekiguchi, Jirō, The nilpotent subvariety of the vector space associated to a symmetric pair, Publ. Res. Inst. Math. Sci., 20, 1, 155-212, (1984) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra nonsingular weighted projective variety; finite dimensional algebra; derived category of bounded complexes; coherent sheaves; tilting sheaf; triangulated category; endomorphism algebra; finite global dimension; equivalences; weighted projective space D. Baer, ''Tilting sheaves in representation theory of algebras,'' Manuscripta Math. 60 (3), 323--347 (1988). | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra exterior algebra; divided power algebra; polynomial representations of the algebraic group scheme; hyperalgebra; representation theory Akin, K.: Extensions of symmetric tensors by alternating tensors. J. algebra 121, 358-363 (1989) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra affine cone over a curve; versal deformation of cones; Wahl's Gaussian map; smoothing components; infinitesimal deformations Stevens, J.: Deformations of cones over hyperelliptic curves. J. reine angew. Math. 473, 87-120 (1996) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra analytic type of a complex hyperspace germ; dissonant singularities; harmonic singularities; infinitesimal; quasi-homogeneous hypersurfaces | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra deformations of complex tori; line bundles; cohomology | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Abelian varieties; isogenies; points of finite order; Tate modules; complex multiplication Zarhin, {\relax Yu. G}., Abelian varieties over fields of finite characteristic, Cent. Eur. J. Math., 12, 659-674, (2014) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra complex torus; Kähler manifold; generic vanishing; Hodge modules Pareschi, G., Popa, M., Schnell, Ch.: Hodge modules on complex tori and generic vanishing for compact Kähler manifolds. arXiv:1505.00635v1 [math.AG] | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra equivariant cohomology; Chern character; Riemann-Roch theorem; moment graph; structure algebra | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra toric varieties; Calabi-Yau hypersurfaces; Calabi-Yau 3-folds; mirror symmetry; mixed Hodge structures R.P. Horja, \textit{Hypergeometric functions and mirror symmetry in toric varieties}, math/9912109. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra complex surface; non-Kähler; G-structure; birational structure | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Hodge algebra; projectors; subset of the product of the Grassmannian; affine coset space; Hodge standard monomial basis | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra strata of \(k\)-differentials; deformation theory; tautological classes; double ramification cycles Schmitt, J., Dimension theory of the moduli space of twisted \textit{k}-differentials | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra existence of higher logarithms; polylogarithm; dilogarithm; \(K\)-theory; Deligne-Beilinson cohomology; multivalued differential forms; Grassmann complex; higher Albanese manifolds; \(K(\pi,1)\)-spaces; 3-logarithm Hain (R.), MacPherson (R.).â Higher Logarithms, Ill. J. of Math,, vol. 34, N2, p. 392-475 (1990). | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra cross ratio variety; rational double point; Weyl groups; Appell- Lauricella hypergeometric function; deformation of \(E_ 6\)-singularity; cubic surface; Cayley family J. Sekiguchi: The versal deformation of the \(E_6\)-singularity and a family of cubic surfaces , J. Math. Soc. Japan 46 (1994), 355--383. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi Yau threefold; free energy genus expansion; selfdual radius Ghoshal, D.; Vafa, C., \(C\)\ =\ 1 string as the topological theory of the conifold, Nucl. Phys., B 453, 121, (1995) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Hilbert modular surfaces; topological manifolds; geometric structures on manifolds; algebraic numbers; rings of algebraic integers; real and complex geometry; geometric constructions | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Lefschetz theorem; Riemann surfaces; Jacobians; Riemann-Roch theorem; Abel-Jacobi theorem; Riemann period relations; theta functions; embeddings of complex tori; modular curves; Tate conjecture; Arakelov theory V. Kumar Murty, Introduction to abelian varieties, CRM Monograph Series, vol. 3, American Mathematical Society, Providence, RI, 1993. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra pseudo-convex varieties; mixed Hodge structures; purity theorems; perverse sheaves; vanishing theorem of Kodaira; theorem of Lefschetz; filtered de Rham complex of a rational singularity Navarro-Aznar V., Sur la théorie de Hodge des variétés algébriques à singularités isolées, Systèmes Différentiels et Singularités (Luminy 1983), Astérisque 130, Société Mathématique de France, Paris (1985), 272-307. | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra planar \(n\)-gons; Grassmann manifold of 2-planes; Grassmannian geometry of triangles; random triangle; Grassmannian geometry of planar quadrilaterals; moduli space of unordered quadrilaterals | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra \(p\)-torsion of the Jacobian variety; Galois module structure | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra Calabi-Yau threefolds; Picard-Fuchs equations Garbagnati A., van Geemen B.: The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy. Int. Math. Res. Notices 16, 3134--3143 (2010) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra rational curve on complete intersection; Calabi-Yau threefold Oguiso, K, Two remarks on Calabi-Yau moishezon treefolds, J. Reine Angew. Math., 452, 153-161, (1994) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra symplectic manifold; curves; local symplectic algebra; algebraic restrictions; relative Darboux theorem; singularities Domitrz, W, Local symplectic algebra of quasi-homogeneous curves, Fundamentae Mathematicae, 204, 57-86, (2009) | 0 |
deformation of complex structure; Calabi-Yau manifold; anti-DeRham algebra open Gromov-Witten invariants; Calabi-Yau orbifold; Lagrangian submanifold; mirror symmetry; B-model; Givental's J-function; Eynard-Orantin recursion A. Brini and R. Cavalieri, \textit{Open orbifold Gromov-Witten invariants of C}\^{}\{3\}\textit{/Z}\_{}\{n\}\textit{: Localization and mirror symmetry}, arXiv:1007.0934 [INSPIRE]. | 0 |
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