173 citations · 972 across the 64 of their papers we have counts for
4 papers · 2 filters
Equivariant exceptional collections on smooth toric stacks
Lev Borisov, Dmitri Orlov
We study the bounded derived categories of torus-equivariant coherent sheaves on smooth toric varieties and Deligne-Mumford stacks. We construct and describe full exceptional colle…
On stringy Euler characteristics of Clifford non-commutative varieties
Lev Borisov, Chengxi Wang
It was shown by Kuznetsov that complete intersections of generic quadrics in are related by Homological Projective Duality to certain non-commutative (Clif…
Explicit equations of the Cartwright-Steger surface
Lev A. Borisov, Sai-Kee Yeung
We construct explicit equations of Cartwright-Steger and related surfaces.
Explicit equations of a fake projective plane
Lev A. Borisov, JongHae Keum
Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to those of the usual projective plane. They come in complex conjugate pairs and have be…