Search Results - "Borisov, Lev A."

Elliptic genera of toric varieties and applications to mirror symmetry by Borisov, Lev A., Libgober, Anatoly

“…The paper contains a proof that elliptic genus of a Calabi-Yau manifold is a Jacobi form, finds in which dimensions the elliptic genus is determined by the…”
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On stringy cohomology spaces by Borisov, Lev A.

“…We modify the definition of the families of A and B stringy cohomology spaces associated to a pair of dual reflexive Gorenstein cones. The new spaces have the…”
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Explicit equations of the Cartwright-Steger surface by Borisov, Lev A., Yeung, Sai-Kee

“…We construct explicit equations of Cartwright-Steger and related surfaces. Comment: 16 pages, LaTeX…”
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On (2, 4) complete intersection threefolds that contain an Enriques surface by Borisov, Lev A., Nuer, Howard J.

“…We study nodal complete intersection threefolds of type (2, 4) in P 5 which contain an Enriques surface in its Fano embedding. We completely determine…”
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FINDING INTEGRAL DIAGONAL PAIRS IN A TWO DIMENSIONAL N-SET by BORISOV, LEV A., JIN, RENLING

“…According to Nathanson, an n-dimensional N-set is a compact subset A of ℝn such that for every x ∈ ℝn there is y ∈ A with y — x ∈ ℤn. We prove that every two…”
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Finding integral diagonal pairs in a two dimensional \mathcal\{N\}--set by Borisov, Lev A., Jin, Renling

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Berglund-Hübsch Mirror Symmetry via Vertex Algebras by Borisov, Lev A.

“…We give a vertex algebra proof of the Berglund-Hübsch duality of nondegenerate invertible potentials. We suggest a way to unify it with the Batyrev-Borisov…”
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Explicit equations of a fake projective plane by Borisov, Lev A., Keum, JongHae

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String cohomology of Calabi–Yau hypersurfaces via mirror symmetry by Borisov, Lev A., Mavlyutov, Anvar R.

“…We propose a construction of string cohomology spaces for Calabi–Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined…”
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Mirror duality and string-theoretic Hodge numbers by Batyrev, Victor V., Borisov, Lev A.

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Toric varieties and modular forms by Borisov, Lev A., Gunnells, Paul E.

“…Let N^sup r^ be a lattice, and let deg:N[arrow right] be a piecewise-linear function that is linear on the cones of a complete rational polyhedral fan. Under…”
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On complete intersections with trivial canonical class by Borisov, Lev A., Li, Zhan

“…We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties…”
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Applications of homological mirror symmetry to hypergeometric systems: Duality conjectures by Borisov, Lev A., Horja, R. Paul

“…Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs…”
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On the better behaved version of the GKZ hypergeometric system by Borisov, Lev A., Paul Horja, R.

“…We consider a version of the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinsky (GKZ) suited for the case when the underlying…”
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On CY–LG correspondence for (0,2) toric models by Borisov, Lev A., Kaufmann, Ralph M.

“…We conjecture a description of the vertex (chiral) algebras of the (0,2) nonlinear sigma models on smooth quintic threefolds. We provide evidence in favor of…”
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The Orbifold Chow Ring of Toric Deligne-Mumford Stacks by Borisov, Lev A., Chen, Linda, Smith, Gregory G.

“…Generalizing toric varieties, we introduce toric Deligne-Mumford stacks. The main result in this paper is an explicit calculation of the orbifold Chow ring of…”
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On Hilbert modular threefolds of discriminant 49 by Borisov, Lev A., Gunnells, Paul E.

“…Let be the totally real cubic field of discriminant , let be its ring of integers, and let be the prime over . Let be the principal congruence subgroup of…”
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Vertex Algebras and Mirror Symmetry by Borisov, Lev A.

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On Wronskians of weight one Eisenstein series by Borisov, Lev A.

“…We describe the span of Hecke eigenforms of weight four with nonzero central value of L-function in terms of Wronskians of certain weight one Eisenstein series…”
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Mellin–Barnes integrals as Fourier–Mukai transforms by Borisov, Lev A., Horja, R. Paul

“…We study the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinsky and its relationship with the toric Deligne–Mumford (DM) stacks…”
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