arXiv (All)
open access
Hyperelliptic curves on $K3$ surfaces
We study hyperelliptic curves on $K3$ surfaces. We show that any number of general points on a $K3$ surface of Picard rank one can be connected by a hyperelliptic curve. As a by-product we recover the Beauville--Voisin decomposition of the small diagonal, together with some new bounds on its torsion
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- The enumerative geometry of K3 surfaces and modular forms#639212
- Triple intersections for algebraic curves on the real torus#986997
- Brill-Noether existence with secants#1062599
- The second fundamental form of the moduli space of cubic threefolds in $\mathcal A_5$#1210019
- Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups#1118314
Record · ID 1342751
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive