Blowing up finitely supported complete ideals in a regular local ring

DOI10.1016/j.jalgebra.2016.04.003zbMath1348.13004arXiv1602.03588OpenAlexW2963450522MaRDI QIDQ290444

Matthew Toeniskoetter, Youngsu Kim, William J. Heinzer

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1602.03588

zbMATH Keywords

base pointscomplete idealfinitely supported ideallocal quadratic transformpoint basisRees valuationtransform of an ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Regular local rings (13H05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finitely supported \(\ast\)-simple complete ideals in a regular local ring
• Birational extensions in dimension two and integrally closed ideals
• Coefficient ideals in and blowups of a commutative Noetherian domain
• Well-centered overrings of an integral domain.
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• Fibers Over Closed Points of Birational Morphisms of Nonsingular Varieties
• The Rees Valuations of Complete Ideals in a Regular Local Ring

This page was built for publication: Blowing up finitely supported complete ideals in a regular local ring