3 papers
alg-geom2025
Deforming Calabi-Yau Threefolds
Mark Gross
This paper first generalises the Bogomolov-Tian-Todorov unobstructedness theorem to the case of Calabi-Yau threefolds with canonical singularities. The deformation space of such a…
math.AG2025
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.AG2025
Remarks on gluing punctured logarithmic maps
Mark Gross
We consider some well-behaved cases of the gluing formalism for punctured stable log maps of Abramovich-Chen-Gross-Siebert. This gives a gluing formula for log Gromov-Witten invari…