Results 1 to 10 of about 344 (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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Quotients of Hypersurfaces in Weighted Projective Space [PDF]
, 2011 In [1] some quotients of one-parameter families of Calabi-Yau va- rieties are related to the family of Mirror Quintics by using a construction due to Shioda. In this paper, we generalize this construction to a wider class of varieties. More specifically,
G. Bini
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Calabi-Yau quotients with terminal singularities [PDF]
, 2016 In this paper we are interested in quotients of Calabi-Yau threefolds with isolated singularities. In particular, we analyze the case when $X/G$ has terminal singularities.
Favale, Filippo F.
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Hodge structures for orbifold cohomology [PDF]
, 2006 We construct a polarized Hodge structure on the primitive part of Chen and Ruan's orbifold cohomology $H_{orb}^k(X)$ for projective $SL$-orbifolds $X$ satisfying a ``Hard Lefschetz Condition''. Furthermore, the total cohomology $H_{orb}^{*,*}(X)$ forms
Fernandez, Javier
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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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On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
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