arXiv (All)
open access
A smooth quintic surface with 85 lines and Picard number 43
We construct a pencil of complex quintic surfaces with every smooth member containing exactly $85$ lines. We show that one smooth member has Picard number $43$ and by introducing the notion of a $d$-saturated lattice, we prove that its Néron--Severi group is generated by the lines and four conics. W
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
- Limiting laminations and boundary weights for infinite-type mapping classes#1061075
- Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups#1118314
- Four Special Directions in AG(2,13): The 52-Point Obstruction and the Sharp Minimum#1034311
- Bending parameterization of one-sided degenerate Kleinian surface groups#1076721
- Obtaining the Chamanara Surface from the van der Corput sequence#1155074
Record · ID 1063073
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