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Physical Sciences and Engineering Mathematics Algebra and Number Theory

Counting bitangents with stable maps

Article ID Journal Published Year Pages File Type
4582557 Expositiones Mathematicae 2006 29 Pages PDF
Abstract

This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent lines to a projective plane curve of degree d by doing intersection theory on moduli spaces.

Keywords
14N3514H10
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Counting bitangents with stable maps
Authors
David Ayala, Renzo Cavalieri,
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