On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces
Algebraic Geometry
2025-11-24 v1
Abstract
O'Grady's generalized Franchetta conjecture asks whether any codimension two cycle on the universal polarized K3 surface restricts to a multiple of the Beauville--Voisin class on a given K3 surface. We apply Mukai's program for genus 11 curves and K3 surfaces, together with a result on the tautological generation of the second Chow group of the moduli space of curves, to give an affirmative answer to this conjecture in genus 11.
Keywords
Cite
@article{arxiv.2511.16875,
title = {On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces},
author = {Yuan Lu},
journal= {arXiv preprint arXiv:2511.16875},
year = {2025}
}