This article is cited in 36 papers

Moduli of mathematical instanton vector bundles with odd $c_2$ on projective space

A. S. Tikhomirov

Yaroslavl State Pedagogical University named after K. D. Ushinsky

Abstract: We study the moduli space $I_n$ of mathematical instanton vector bundles of rank 2 with second Chern class $n\geqslant1$ on the projective space $\mathbb{P}^3$, and prove the irreducibility of $I_n$ for arbitrary odd $n\geqslant1$.

Keywords: vector bundles, mathematical instantons, moduli space.

UDC: 512.723

MSC: 14J60, 14D21, 14M12, 32L10

Received: 18.02.2010
Revised: 30.03.2012

DOI: 10.4213/im4134

 English version: Izvestiya: Mathematics, 2012, 76:5, 991–1073

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