44 citations · 304 across the 35 of their papers we have counts for
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Bounds for smooth Fano weighted complete intersections
Victor Przyjalkowski, Constantin Shramov
We prove that if a smooth variety with non-positive canonical class can be embedded into a weighted projective space of dimension as a well formed complete intersection and it…
Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds
Victor Przyjalkowski
We prove that smooth Fano threefolds have toric Landau--Ginzburg models. More precise, we prove that their Landau--Ginzburg models, presented as Laurent polynomials, admit compacti…
Landau-Ginzburg Hodge numbers for mirrors of del Pezzo surfaces
Valery Lunts, Victor Przyjalkowski
We consider the conjectures from the paper by Katzarkov, Kontsevich, and Pantev about Landau-Ginzburg Hodge numbers associated to tamely compactifiable Landau-Ginzburg models. We t…
Burkhardt quartic, Barth sextic, and the icosahedron
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
We study two rational Fano threefolds with an action of the icosahedral group . The first one is the famous Burkhardt quartic threefold, and the second one is the d…
Double quadrics with large automorphism groups
Victor Przyjalkowski, Constantin Shramov
We classify three-dimensional nodal Fano varieties that are double covers of smooth quadrics branched over intersections with quartics acted on by finite simple non-abelian groups,…