Moduli of mathematical instanton vector bundles with odd $c_2$ on projective space
Izvestiya. Mathematics , Tome 76 (2012) no. 5, pp. 991-1073
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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
Mots-clés : moduli space.
Mots-clés : moduli space.
@article{IM2_2012_76_5_a6,
author = {A. S. Tikhomirov},
title = {Moduli of mathematical instanton vector bundles with odd $c_2$ on projective space},
journal = {Izvestiya. Mathematics },
pages = {991--1073},
publisher = {mathdoc},
volume = {76},
number = {5},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_5_a6/}
}
A. S. Tikhomirov. Moduli of mathematical instanton vector bundles with odd $c_2$ on projective space. Izvestiya. Mathematics , Tome 76 (2012) no. 5, pp. 991-1073. http://geodesic.mathdoc.fr/item/IM2_2012_76_5_a6/