88 citations · 352 across the 25 of their papers we have counts for
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math.AG2019
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…
math.AG2019★ 21 cited
Intrinsic Mirror Symmetry
Mark Gross, Bernd Siebert
We associate a ring R to a log Calabi-Yau pair (X,D) or a degeneration of Calabi-Yau manifolds X->B. The vector space underlying R is determined by the tropicalization of (X,D) or…
math.AG2019
Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
Helge Ruddat, Bernd Siebert
We give a simple expression for the integral of the canonical holomorphic volume form in degenerating families of varieties constructed from wall structures and with central fiber…