103 citations · 686 across the 101 of their papers we have counts for
7 papers · 2 filters
Schmidt rank of quartics over perfect fields
David Kazhdan, Alexander Polishchuk
Let be a perfect field of characteristic . We prove that the Schmidt rank (also known as strength) of a quartic polynomial over is bounded above in terms of onl…
Extended clutching construction for the moduli of stable curves
Alexander Polishchuk
We give a description of the formal neighborhoods of the components of the boundary divisor in the Deligne-Mumford moduli stack of stable curves in terms…
-torsors, quotients by free -actions, and embeddings into -projective spaces and super-Grassmannians
Alexander Polishchuk
We study embeddability of superschemes into -projective spaces and into supergrassmannians . We give some criteria based on the relation with -to…
Linear subspaces of minimal codimension in hypersurfaces
David Kazhdan, Alexander Polishchuk
Let be a perfect field and let be a hypersurface of degree defined over and containing a linear subspace defined over an algebraic closure…
Homological mirror symmetry for the symmetric squares of punctured spheres
Yanki Lekili, Alexander Polishchuk
For an appropriate choice of a -grading structure, we prove that the wrapped Fukaya category of the symmetric square of a -punctured sphere, i.e. the Weinstein m…
On homological mirror symmetry for chain type polynomials
Alexander Polishchuk, Umut Varolgunes
We consider Takahashi's categorical interpretation of the Berglund-Hubsch mirror symmetry conjecture for invertible polynomials in the case of chain polynomials. Our strategy is ba…