The role of the cotangent bundle in resolving ideals of fat points in the plane

Details The role of the cotangent bundle in resolving ideals of fat points in the plane The role of the cotangent bundle in resolving ideals of fat points in the plane

2007-06-14

arxiv.org/abs/0706.2144v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We study the connection between the generation of a fat point scheme
supported at general points in the plane and the behaviour of the cotangent
bundle with respect to some rational curves particularly relevant for the
scheme. We put forward two conjectures, giving examples and partial results in
support of them.

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