A. A. Kytmanov, N. N. Osipov, S. A. Tikhomirov, “Two series of components of the moduli space of semistable reflexive rank 2 sheaves on the projective space”, Sibirsk. Mat. Zh., 2024, Volume 65, Number 1,Pages <nobr>115

This article is cited in 2 papers

Two series of components of the moduli space of semistable reflexive rank 2 sheaves on the projective space

A. A. Kytmanov^ab, N. N. Osipov^b, S. A. Tikhomirov^c

^a MIREA — Russian Technological University, Moscow
^b Siberian Federal University, Krasnoyarsk
^c Yaroslavl State Pedagogical University named after K. D. Ushinsky

Abstract: We construct two new infinite series of irreducible components of the moduli space of semistable nonlocally free reflexive rank 2 sheaves on the three-dimensional complex projective space. In the first series the sheaves have an even first Chern class, and in the second series they have an odd one, while the second and third Chern classes can be expressed as polynomials of a special form in three integer variables. We prove the uniqueness of components in these series for the Chern classes given by those polynomials.

Keywords: semistable reflexive sheaf, Chern classes, moduli space.

UDC: 512.7

MSC: 35R30

Received: 01.08.2023
Accepted: 28.11.2023

DOI: 10.33048/smzh.2024.65.110