On Blowing Up Minimal Toric Surfaces
Abstract We prove that the Cox ring of the blowing-up of a minimal toric surface of Picard rank two is finitely generated. As part of our proof of this result we provide a necessary and sufficient condition for finite generation of Cox rings of normal projective $\mathbb Q$-factorial surfaces.
Authors
- Antonio Laface (ORCID: https://orcid.org/0000-0001-6926-8249)
- Luca Ugaglia (ORCID: https://orcid.org/0000-0002-4149-6407)
Institutions
- University of Concepción (CL)
- University of Palermo (IT)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1093/imrn/rnaf052
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00