On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces

Yuan Lu

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arXiv · 2511.16875

On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces

Yuan Lu

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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.

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Yuan Lu. 2025-11-21. On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces. https://arxiv.org/abs/2511.16875

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