Sergey Galkin

collaborators

4 papers

math.AG2018

On pairs, triples and quadruples of points on a cubic surface

Sergey Galkin, Pavel Popov

Let $X^{(n)}$ denote $n$ -th symmetric power of a cubic surface $X$ . We show that $X^{(4)} \times X$ is stably birational to $X^{(3)} \times X$ , despite examples when $X^{(4)}$ is not…

math.AG2018

Degenerations, transitions and quantum cohomology

Sergey Galkin

Given a singular variety I discuss the relations between quantum cohomology of its resolution and smoothing. In particular, I explain how toric degenerations helps with computing G…

math.AG2018

Fano-Mathieu correspondence

Sergey Galkin

We show that $G$ -Fano threefolds are mirror-modular. 1. Mirror maps are inversed reversed Hauptmoduln for moonshine subgroups of $S L_{2} (R)$ . 2. Quantum periods, shifted by…

math.AG2018

Small toric degenerations of Fano threefolds

Sergey Galkin

We classify smooth Fano threefolds that admit degenerations to toric Fano threefolds with ordinary double points.