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

2011/03/24 by Andrea Hofmann, Hofmann, Andrea
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1103.4655

openalex publication_date 2011/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 g¹₃ on C.

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