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This article is cited in 7 scientific papers (total in 7 papers)
Stable bundles with $c_1=0$ on rational surfaces
I. V. Artamkin
Abstract:
For an arbitrary rational surface $X$the author proves the existence of a nonempty component of the moduli variety $M^0(X,n,r)$ of rank $r$ bundles with $c_1=0$ and $c_2=n\geqslant r$ in which the $\mathscr L$-stable bundles constitute a nonempty open subset for any ample $\mathscr L$. Moreover, any birational isomorphism $\varphi\colon X\to Y$ of surfaces gives rise to a birational isomorphism $\varphi_*\colon M^0(X)\to M^0(Y)$.
Received: 22.11.1988
Citation:
I. V. Artamkin, “Stable bundles with $c_1=0$ on rational surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 54:2 (1990), 227–241; Math. USSR-Izv., 36:2 (1991), 231–246
Linking options:
https://www.mathnet.ru/eng/im1091https://doi.org/10.1070/IM1991v036n02ABEH002019 https://www.mathnet.ru/eng/im/v54/i2/p227
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Abstract page: | 259 | Russian version PDF: | 98 | English version PDF: | 5 | References: | 38 | First page: | 1 |
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