L. Borisov

collaborators

4 papers

math.AG2026

Quintic surfaces with 18 cusps

Lev Borisov, Carlos Rito

We construct quintic surfaces in the three-dimensional projective space $P^{3}$ with $18$ ordinary cusps. Our starting point is the Barth--Rams description of quintics contai…

math.AG2025

Hanlon-Hicks-Lazarev resolution revisited

Lev Borisov, Zengrui Han

Hanlon, Hicks and Lazarev constructed resolutions of structure sheaves of toric substacks by certain line bundles on the ambient toric stacks. In this paper, we give a new and subs…

math.AG2025

Adventures in algebraic geometry

Lev Borisov

These notes are loosely based on an introductory course in algebraic geometry given at Rutgers University in Spring of 2024. We introduce some relatively advanced topics at the exp…

math.AG2025

Derived Partners of Enriques Surfaces

Lev Borisov, Vernon Chan, Chengxi Wang

Let $V$ be a $6$ -dimensional complex vector space with an involution $I ¨ $ of trace $0$ , and let $W \subset \Sym^2 V^\vee$ be a generic $3$ -dimensional subspace of $I ¨ $ -invariant qu…