On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912721949163520 |
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| author | Lu, Yuan |
| author_facet | Lu, Yuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16875 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces Lu, Yuan Algebraic Geometry 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. |
| title | On O'Grady's generalized Franchetta conjecture for genus 11 K3 surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.16875 |