C.Madonna

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math.AG2004

ACM bundles on general hypersurfaces in $P^{5}$ of low degree

L. Chiantini, C. Madonna

In this paper we show that on a general hypersurface of degree $r = 3, 4, 5, 6$ in $P^{5}$ a rank 2 vector bundle $E$ splits if and only if $h^{1} E (n) = h^{2} E (n) = 0$ for all $n \in \bf…

math.AG2001

Rank 4 vector bundles on the quintic threefold

C. Madonna

By the results of the author and Chiantini in Math.AG/0110102, on a general quintic threefold $X \subset P^{4}$ the minimum integer $p$ for which there exists a positive di…

ACM bundles on general hypersurfaces in P5 of low degree

Rank 4 vector bundles on the quintic threefold

ACM bundles on general hypersurfaces in $P^{5}$ of low degree