Iterated blowups of two-dimensional regular local rings

DOI10.4171/RSMUP/70zbMath1474.13010MaRDI QIDQ2039360

Sylvia Wiegand, Roger Wiegand

Publication date: 2 July 2021

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

blowupregular local ringvaluation ringquadratic transform

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Regular local rings (13H05)

Cites Work

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• Ideal theory of infinite directed unions of local quadratic transforms
• Monomial valuations, cusp singularities, and continued fractions
• Local factorization of birational maps
• Valuations determined by quadratic transforms of a regular ring
• Asymptotic properties of infinite directed unions of local quadratic transforms
• Directed unions of local quadratic transforms of a regular local ring
• Valuations in Function Fields of Surfaces
• Monoidal Transforms of Regular Local Rings
• On the Valuations Centered in a Local Domain
• Approximating discrete valuation rings by regular local rings
• Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks

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