345 citations · 587 across the 19 of their papers we have counts for
23 papers
Theta Function Basis of the Cox ring of Postive 2d Looijenga pairs
Sean Keel, Logan White
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…
Log Calabi-Yau mirror symmetry and non-archimedean disks
Sean Keel, Logan White, Tony Yue YU
We give a uniform construction that includes the mirror algebra to a smooth log Calabi-Yau variety with maximal boundary, proper over an affine variety, or to a one parameter maxim…
Secondary fan, theta functions and moduli of Calabi-Yau pairs
Paul Hacking, Sean Keel, Tony Yue Yu
We conjecture that any connected component of the moduli space of triples where is a smooth projective variety, is a normal crossing anti-canoni…
The mirror of the cubic surface
Mark Gross, Paul Hacking, Sean Keel +1
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 Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus
Sean Keel, Tony Yue Yu
Let be an affine log Calabi-Yau variety containing an open algebraic torus. We show that the naive counts of rational curves in uniquely determine a commutative associative…
Canonical bases for cluster algebras
Mark Gross, Paul Hacking, Sean Keel +1
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 c…