Geodesic
Moduli of mathematical instanton vector bundles with even $c_2$ on projective space
Izvestiya. Mathematics , Tome 77 (2013) no. 6, pp. 1195-1223

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We study the irreducibility problem for the moduli space $I_n$ of instanton vector bundles of rank 2 with second Chern class $n\geqslant1$ on the projective space $\mathbb{P}^3$ (the irreducibility of $I_n$ for odd values of $n$ was proved by the author in 2012). We prove that $I_n$ is irreducible for arbitrary even $n\geqslant2$. This gives the irreducibility of $I_n$ for all $n\geqslant1$.
Keywords: vector bundles, mathematical instantons
Mots-clés : moduli space. 
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     author = {A. S. Tikhomirov},
     title = {Moduli of mathematical instanton vector bundles with even $c_2$ on projective space},
     journal = {Izvestiya. Mathematics },
     pages = {1195--1223},
     publisher = {mathdoc},
     volume = {77},
     number = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_6_a4/}
}
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A. S. Tikhomirov. Moduli of mathematical instanton vector bundles with even $c_2$ on projective space. Izvestiya. Mathematics , Tome 77 (2013) no. 6, pp. 1195-1223. http://geodesic.mathdoc.fr/item/IM2_2013_77_6_a4/