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arXiv · 1508.05080

Section rings of $\mathbb{Q}$-divisors on minimal rational surfaces

Aaron Landesman·Peter Ruhm·Robin Zhang
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Abstract

We give bounds on the degree of generation and relations of section rings associated to arbitrary $\mathbb{Q}$-divisors on projective spaces of all dimensions and Hirzebruch surfaces. For section rings of effective $\mathbb{Q}$-divisors on projective spaces, we find the best possible bound on the degrees of generators and relations.

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Aaron Landesman, Peter Ruhm, Robin Zhang. 2015-08-20. Section rings of $\mathbb{Q}$-divisors on minimal rational surfaces. https://doi.org/10.4310/mrl.2018.v25.n4.a13

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