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Infinitesimal extensions of P-1 and their Hilbert schemes
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UNSPECIFIED (2002) Infinitesimal extensions of P-1 and their Hilbert schemes. MANUSCRIPTA MATHEMATICA, 108 (4). pp. 461-482. ISSN 0025-2611
Full text not available from this repository.Abstract
In order to calculate the multiplicity of an isolated rational curve C on a local complete intersection variety X, i.e. the length of the local ring of the Hilbert Scheme of X at [C], it is important to study infinitesimal neighborhoods of the curve in X. This is equivalent to infinitesimal extensions of P-1 by locally free sheaves. In this paper we study infinitesimal extensions of P-1, determine their structure and obtain upper and lower bounds for the length of the local rings of their Hilbert schemes at [P-1].
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | MANUSCRIPTA MATHEMATICA |
| Publisher: | SPRINGER-VERLAG |
| ISSN: | 0025-2611 |
| Date: | August 2002 |
| Volume: | 108 |
| Number: | 4 |
| Number of Pages: | 22 |
| Page Range: | pp. 461-482 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10545 |
Data sourced from Thomson Reuters' Web of Knowledge
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