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Enumerative Geometry for Plane Cubic Curves in Characteristic 2

Published online by Cambridge University Press:  04 December 2007

ANDERS HØYER BERG
ANDERS HØYER BERG
Affiliation:
Department of Mathematics, University of Oslo, PB 1053 Blindern, N-0316 Oslo, Norway, e-mail: [email protected]
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Abstract

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Consider the plane cubic curves over an algebraically closed field of characteristic 2. By blowing up the parameter space $P^9$ twice we obtain a variety B of complete cubics. We then compute the characteristic numbers for various families of cubics by intersecting cycles on B.

Keywords

Enumerative geometryplane cubic curvespositive characteristicblow-upcharacteristic numbers
Type
Research Article
Information
Compositio Mathematica , Volume 111 , Issue 2 , April 1998 , pp. 123 - 147
Copyright
© 1998 Kluwer Academic Publishers