Constant cycle subvarieties in the Mukai system of rank two and genus two

2020/09/02 by Isabell Hellmann, Hellmann, Isabell
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2009.00976

openalex publication_date 2020/09/02 · openalex created_date 2020/09/08 · openalex updated_date 2026/07/28

Abstract

Combining theorems of Voisin and Marian, Shen, Yin and Zhao, we compute the dimensions of the orbits under rational equivalence in the Mukai system of rank two and genus two. We produce several examples of algebraically coisotropic and constant cycle subvarieties.

Citations

• The nilpotent cone in the Mukai system for rank 2 and genus 2

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