3 papers
math.DG2022
Lecture notes on the Fundamental Structures of Differential Geometry
Dmitrii Pedchenko
This is the first part of the lecture notes that grew out of the special course given during the 2021-2022 academic year. In these lecture notes we present an approach to the funda…
math.QA2020
The Arens-Michael envelopes of the Jordanian Plane and
Dmitrii Pedchenko
The Arens-Michael functor in noncommutative geometry is an analogue of the analytification functor in algebraic geometry: out of the ring of "algebraic functions" on a noncommutati…
math.AG2020
The Picard group of the moduli space of sheaves on a quadric surface
Dmitrii Pedchenko
In this paper, we study the Picard group of the moduli space of semistable sheaves on a smooth quadric surface. We polarize the surface by an ample divisor close to the anticanonic…