Constant cycle subvarieties in the Mukai system of rank two and genus two
Isabell Hellmann
TL;DR
This paper investigates the structure of the Mukai system of rank two and genus two, computing orbit dimensions under rational equivalence and constructing examples of special subvarieties with constant cycle properties.
Contribution
It provides new computations of orbit dimensions and constructs explicit examples of algebraically coisotropic and constant cycle subvarieties in this setting.
Findings
Computed dimensions of orbits under rational equivalence.
Constructed examples of algebraically coisotropic subvarieties.
Produced constant cycle subvarieties in the Mukai system.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry