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Smoothness of the moduli scheme of instanton vector bundles with $c_1=0$, $c_2=n$ on $P^3$
A. S. Tikhomirov
Abstract:
The scheme $M(P^3,n)$ of moduli of mathematical instanton bundles with Chern classes $c_1=0$, $c_2=n\geqslant1$, is studied on projective space $P^3$ over the field $\mathbf C$. It is proved that $M(P^3,n)$ is a smooth equidimensional scheme of dimension $8n-3$.
Bibliography: 7 titles.
Received: 22.12.1987
Citation:
A. S. Tikhomirov, “Smoothness of the moduli scheme of instanton vector bundles with $c_1=0$, $c_2=n$ on $P^3$”, Math. USSR-Izv., 35:1 (1990), 233–243
Linking options:
https://www.mathnet.ru/eng/im1280https://doi.org/10.1070/IM1990v035n01ABEH000698 https://www.mathnet.ru/eng/im/v53/i4/p897
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Abstract page: | 258 | Russian version PDF: | 85 | English version PDF: | 21 | References: | 54 | First page: | 1 |
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