An intersection multiplicity in terms of Ext-modules

C. Y. Jean Chan

doi:10.1090/S0002-9939-01-06022-1

An intersection multiplicity in terms of Ext-modules

C. Y. Jean Chan

Mathematics

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4 Scopus citations

Abstract

The main aim of this paper is to discuss the relation between Serre's intersection multiplicity and the Euler form. The Euler form is defined to be an alternating sum of the length of Ext-modules and is used by Mori and Smith to develop intersection theory over noncommutative rings. We show that they differ by a sign and that this relation is closely related to Serre's vanishing theorem.

Original language	English
Pages (from-to)	327-336
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-01-06022-1
State	Published - 2002

Keywords

Chern character
Euler characteristic
Euler form
Intersection multiplicity

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10.1090/S0002-9939-01-06022-1

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abstract = "The main aim of this paper is to discuss the relation between Serre's intersection multiplicity and the Euler form. The Euler form is defined to be an alternating sum of the length of Ext-modules and is used by Mori and Smith to develop intersection theory over noncommutative rings. We show that they differ by a sign and that this relation is closely related to Serre's vanishing theorem.",

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AB - The main aim of this paper is to discuss the relation between Serre's intersection multiplicity and the Euler form. The Euler form is defined to be an alternating sum of the length of Ext-modules and is used by Mori and Smith to develop intersection theory over noncommutative rings. We show that they differ by a sign and that this relation is closely related to Serre's vanishing theorem.

KW - Chern character

KW - Euler characteristic

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KW - Intersection multiplicity

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An intersection multiplicity in terms of Ext-modules

Abstract

Keywords

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