Results 1 to 10 of about 33 (33)
On genus one mirror symmetry in higher dimensions and the BCOV conjectures
Forum of Mathematics, Pi, 2022 The mathematical physicists Bershadsky–Cecotti–Ooguri–Vafa (BCOV) proposed, in a seminal article from 1994, a conjecture extending genus zero mirror symmetry to higher genera.
Dennis Eriksson +2 more
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The most efficient indifferentiable hashing to elliptic curves of j-invariant 1728
Journal of Mathematical Cryptology, 2022 This article makes an important contribution to solving the long-standing problem of whether all elliptic curves can be equipped with a hash function (indifferentiable from a random oracle) whose running time amounts to one exponentiation in the basic ...
Koshelev Dmitrii
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Smoothing toroidal crossing spaces
Forum of Mathematics, Pi, 2021 We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces.
Simon Felten, Matej Filip, Helge Ruddat
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Conic bundles that are not birational to numerical Calabi--Yau pairs [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a general conic bundle over the projective plane with branch curve of degree at least 19. We prove that there is no normal projective variety $Y$ that is birational to $X$ and such that some multiple of its anticanonical divisor is effective ...
János Kollár
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Tropically constructed Lagrangians in mirror quintic threefolds
Forum of Mathematics, Sigma, 2020 We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. The homology spheres are mirror dual to the holomorphic curves contributing to the Gromov-Witten
Cheuk Yu Mak, Helge Ruddat
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Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]
Épijournal de Géométrie AlgébriqueWe study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
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, 2004 The conference brought together mathematicians working in algebraic and differential geometry (14J32, 37J35, 53C15, 53C80) and physicists working on conformal quantum field theory and string theory (81T30, 81T40).
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A cone conjecture for log Calabi-Yau surfaces
Forum of Mathematics, SigmaWe consider log Calabi-Yau surfaces $(Y, D)$ with singular boundary. In each deformation type, there is a distinguished surface $(Y_e,D_e)$ such that the mixed Hodge structure on $H_2(Y \setminus D)$ is split.
Jennifer Li
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Deformations of Calabi–Yau varieties with k-liminal singularities
Forum of Mathematics, SigmaThe goal of this paper is to describe certain nonlinear topological obstructions for the existence of first-order smoothings of mildly singular Calabi–Yau varieties of dimension at least $4$ .
Robert Friedman, Radu Laza
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Smoothing, scattering and a conjecture of Fukaya
Forum of Mathematics, PiIn 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold ...
Kwokwai Chan +2 more
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