Moduli components of semistable rank two sheaves with odd determinant and small charge on projective space

Jun 16, 2022, 2:30 PM
1h
BellaVista Relax Hotel

BellaVista Relax Hotel

Via Vittorio Emanuele III, 7, 38056 Levico Terme TN
Online Talk

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)

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