科研之友
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摘要
We prove that, for every r >= 2, the moduli space M(X)(s)(r; c(1), c(2)) of rank r stable vector bundles with Chern classes c(1) = rH and c(2) = 1/2 (3r(2) - r) on a nonsingular cubic surface X subset of P(3) contains a nonempty smooth open subset formed by ACM bundles, i.e. vector bundles with no intermediate cohomology. The bundles we consider for this study are extremal for the number of generators of the corresponding module (these are known as Ulrich bundles), so we also prove the existence of indecomposable Ulrich bundles of arbitrarily high rank on X.
- 出版日期2011
