We study the connection between the generation of a fat point scheme supported at general points in P2 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.
A.Gimigliano , B.Harbourne , M.Idà (2009). The role of the cotangent bundle in resolving ideals of fat points in the plane. JOURNAL OF PURE AND APPLIED ALGEBRA, 213, 203-214 [10.1016/j.jpaa.2008.06.009].
The role of the cotangent bundle in resolving ideals of fat points in the plane.
GIMIGLIANO, ALESSANDRO;IDA', MONICA
2009
Abstract
We study the connection between the generation of a fat point scheme supported at general points in P2 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.File in questo prodotto:
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