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math.AG2015
Quartic double solids with icosahedral symmetry
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
We study quartic double solids admitting icosahedral symmetry.
math.AG2015★ 19 cited
Which quartic double solids are rational?
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational, and noda…
math.AG2015
Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians
Victor Przyjalkowski, Constantin Shramov
In 1997 Batyrev, Ciocan-Fontanine, Kim, and van Straten suggested a construction of Landau--Ginzburg models for Fano complete intersections in Grassmannians similar to Givental's c…