ACM bundles on del Pezzo surfaces

Details ACM bundles on del Pezzo surfaces ACM bundles on del Pezzo surfaces

2010-03-17

arxiv.org/abs/1003.3404v1

Mathematics

Algebraic Geometry

Scientific paper

ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the
rational normal curves that they contain. A complete list of ACM line bundles
is provided. Moreover, for any del Pezzo surface $X$ of degree less or equal
than six and for any $n\geq 2$ we construct a family of dimension $\geq n-1$ of
non-isomorphic simple ACM bundles of rank $n$ on $X$.

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