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An intersection multiplicity in terms of |
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| Authors: | C-Y Jean Chan |
| Institution: | Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, Utah 84112 |
| 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 |
| Keywords: | Intersection multiplicity Chern character Euler characteristic Euler form |
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-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.