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The role of the cotangent bundle in resolving ideals of fat points in the plane |
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| Authors: | Alessandro Gimigliano Brian Harbourne |
| Institution: | a Dipartimento di Matematica, Università di Bologna, 40126 Bologna, Italy b CIRAM, Università di Bologna, 40126 Bologna, Italy c Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA |
| Abstract: | We study the connection between the generation of a fat point scheme supported at general points in  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. |
| Keywords: | 14F05 14C20 14N05 |
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