Speaker
Alexander S. Tikhomirov
(HSE University, Moscow, Russia)
Description
We study the moduli space of semistable rank two semistable torsion-free sheaves with Chern classes $(c_1, c_2, c_3 ) = (−1, 2n, m)$ on the projective 3-space. We give a complete description of all irreducible components of this moduli space in the case $(c_1, c_2, c_3) = (−1, 2, m)$ for non-negative values for $m$; all components turn out to be rational. We also prove that this moduli space is connected. This is a joint work with Ch. Almeida and M. Jardim.
Primary author
Alexander S. Tikhomirov
(HSE University, Moscow, Russia)
