Local factorization of birational maps

DOI10.1006/aima.1997.1675zbMath0934.14006OpenAlexW2004068181MaRDI QIDQ1378424

Steven Dale Cutkosky

Publication date: 16 March 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1675

zbMATH Keywords

valuation ringbirational morphismregular local ringsmonoidal transformsquadratic transforms

Mathematics Subject Classification ID

Rational and birational maps (14E05) Valuation rings (13F30) Extension theory of commutative rings (13B02)

Related Items (9)

An axiomatic version of Zariski's patching theorem ⋮ Torification and factorization of birational maps ⋮ Toroidal varieties and the weak factorization theorem ⋮ Resolution of singularities and modular Galois theory ⋮ A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension. -- Correction by Kenji Matsuki ⋮ Local strong factorization of toric birational maps ⋮ Iterated blowups of two-dimensional regular local rings ⋮ Local monomialization of transcendental extensions. ⋮ Approximating discrete valuation rings by regular local rings

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