A local version of some results of zariski

DOI10.1080/00927879708825952zbMath0905.14004OpenAlexW2029605737MaRDI QIDQ4344679

Francesco Russo

Publication date: 4 February 1999

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

Full work available at URL: https://doi.org/10.1080/00927879708825952

zbMATH Keywords

resolution of singularitiesCartier divisorglobal functionseffective Weil divisornormal excellent equicharacteristic local rings

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Divisors, linear systems, invertible sheaves (14C20) Regular local rings (13H05)

Cites Work

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• On unique and almost unique factorization of complete ideals. II
• Semifactoriality and Muhly's condition (N) in two dimensional local rings
• Periodicity of the fixed locus of multiples of a divisor on a surface
• On a problem of Zariski on dimensions of linear systems
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• On Unique and Almost Unique Factorization of Complete Ideals
• On the complement of a nef and big divisor on an algebraic variety

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