Big rational surfaces
By D. Testa, Anthony Várilly-Alvarado, Mauricio Velasco. 2009
68 citations recorded by the source corpus.
We prove that the Cox ring of a smooth rational surface with big anticanonical class is finitely generated. We classify surfaces of this type that are blow-ups of $${\mathbb{P}^2}$$ at distinct points lying on a (possibly reducible) cubic.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f3e999e028d8eb0e05e8c863c423b810ce931173
How researchers see this paper
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In Algebra and Number Theory
- A. V. Geramita
- Juan Migliore
- Brian Harbourne
- Uwe Nagel
- Cristiano Bocci
- R. Mir'o-Roig
- Tomasz Szemberg
- Rodrigo Gondim
In Computational Theory and Mathematics
- A. V. Geramita
- Juan Migliore
- Brian Harbourne
- Uwe Nagel
- Cristiano Bocci
- R. Mir'o-Roig
- Rodrigo Gondim
- Karim A. Adiprasito
In Geometry and Topology
- A. V. Geramita
- Juan Migliore
- Brian Harbourne
- Uwe Nagel
- Cristiano Bocci
- Tomasz Szemberg
- Karim A. Adiprasito
Citations in the corpus
- Global aspects of the geometry of surfaces (2009, background): “1], or directly by [GM, Corollary 3], or by [TVV].”
- Star configurations in Pn (2013, background): “These have arisen as objects of study in numerous research projects lately, including [2, 3, 5, 6, 8, 13, 21, 26], but these references make use of only a partial understanding of the properties of star configurations.”