Some necessary and sufficient condition for finite generation of symbolic Rees rings

DOI10.1016/j.jalgebra.2022.11.022OpenAlexW4311770768MaRDI QIDQ2682813

Taro Inagawa, Kazuhiko Kurano

Publication date: 1 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01889

zbMATH Keywords

finite generationCox ringsymbolic Rees ringnegative curvespace monomial prime

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• Asymptotic regularity of powers of ideals of points in a weighted projective plane
• Hilbert functions and symbolic powers
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• Constructing non-Mori dream spaces from negative curves
• Generators and relations of abelian semigroups and semigroup rings
• On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves
• Curves generating extremal rays in blowups of weighted projective planes
• Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question
• Some non-finitely generated Cox rings
• Symbolic algebras of monomial primes.

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