The degree of the third secant variety of a smooth curve of genus 2

Details The degree of the third secant variety of a smooth curve of genus 2 The degree of the third secant variety of a smooth curve of genus 2

2011-03-24

arxiv.org/abs/1103.4655v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

We give a new method of computation of the degree of the third secant variety
of a smooth curve C in P^(d-2) of genus 2 and degree d>=8, using the
presentation of the third secant variety as the union of all scrolls that are
defined via a g^1_3 on C.

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