119 citations · 461 across the 49 of their papers we have counts for
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Unramified Brauer group and its applications
Sergey Gorchinskiy, Constantin Shramov
This is a textbook on arithmetic geometry with special regard to unramified Brauer groups of algebraic varieties. The topics include Galois cohomology, Brauer groups, obstructions…
Two rational nodal quartic threefolds
Ivan Cheltsov, Constantin Shramov
We prove that the quartic threefolds defined by in are rational for …
Quartic double solids with icosahedral symmetry
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
We study quartic double solids admitting icosahedral symmetry.
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…
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…