Zobrazeno 1 - 10
of 73
pro vyhledávání: '"KEEL, SEAN"'
Autor:
Keel, Sean, White, Logan
We give a canonical basis of theta functions for the Cox ring of two dimensional Looijenga pairs with affine interior, with structure constants naive counts of k-analytic disks in the total space of the universal deformation of the mirror (which, as
Externí odkaz:
http://arxiv.org/abs/2412.01774
Autor:
Keel, Sean, YU, Tony Yue
We construct the mirror algebra to a smooth affine log Calabi-Yau variety with maximal boundary, as the spectrum of a commutative associative algebra with a canonical basis, whose structure constants are given as naive counts of non-archimedean analy
Externí odkaz:
http://arxiv.org/abs/2411.04067
We conjecture that any connected component $Q$ of the moduli space of triples $(X,E=E_1+\dots+E_n,\Theta)$ where $X$ is a smooth projective variety, $E$ is a normal crossing anti-canonical divisor with a 0-stratum, every $E_i$ is smooth, and $\Theta$
Externí odkaz:
http://arxiv.org/abs/2008.02299
This paper expands on a remark in the paper "Mirror Symmetry for Log Calabi-Yau Surfaces I" of the first three authors of this paper, explaining fully how various constructions of the authors apply to give the mirror to the cubic surface. We give a f
Externí odkaz:
http://arxiv.org/abs/1910.08427
Autor:
Keel, Sean, Yu, Tony Yue
Let $U$ be an affine log Calabi-Yau variety containing an open algebraic torus. We show that the naive counts of rational curves in $U$ uniquely determine a commutative associative algebra equipped with a compatible multilinear form. This proves a va
Externí odkaz:
http://arxiv.org/abs/1908.09861
In previous work, the first three authors conjectured that the ring of regular functions on a natural class of affine log Calabi-Yau varieties (those with maximal boundary) has a canonical vector space basis parameterized by the integral tropical poi
Externí odkaz:
http://arxiv.org/abs/1411.1394
We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, among other results, an elementary geometric proof of the Laurent phenomenon for cluster algebras (of geometric type), extend
Externí odkaz:
http://arxiv.org/abs/1309.2573
Publikováno v:
Compositio Math. 151 (2015) 265-291
We prove a global Torelli theorem for pairs (Y,D), where Y is a smooth projective rational surface and D is an effective anti-canonical divisor which is a cycle of rational curves. This Torelli theorem was conjectured by Friedman in 1984. In addition
Externí odkaz:
http://arxiv.org/abs/1211.6367
We give a canonical synthetic construction of the mirror family to a pair (Y,D) of a smooth projective surface with an anti-canonical cycle of rational curves, as the spectrum of an explicit algebra defined in terms of counts of rational curves on Y
Externí odkaz:
http://arxiv.org/abs/1106.4977
Publikováno v:
Journal of the American Mathematical Society, 2018 Apr 01. 31(2), 497-608.
Externí odkaz:
https://www.jstor.org/stable/90018729
