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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | MANUSCRIPTA MATHEMATICA | ||||
Publisher: | SPRINGER-VERLAG | ||||
ISSN: | 0025-2611 | ||||
Official Date: | August 2002 | ||||
Dates: |
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Volume: | 108 | ||||
Number: | 4 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 461-482 | ||||
Publication Status: | Published |
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