Desingularization: Invariants and Strategy

DOI10.1007/978-3-030-52640-5zbMath1477.14003OpenAlexW3082331256MaRDI QIDQ5121067

Vincent Cossart, Shuji Saito, Uwe Jannsen

Publication date: 17 September 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52640-5

zbMATH Keywords

resolution of singularitiessurface singularitiesHironaka's characteristic polyhedrainvariants for singularities

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02)

Related Items (13)

Essential finite generation of valuation rings in characteristic zero algebraic function fields ⋮ Desingularization of binomial varieties using toric Artin stacks ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Erratic birational behavior of mappings in positive characteristic ⋮ On the fulfillment of the complementary approximate Karush-Kuhn-Tucker conditions and algorithmic applications ⋮ Abundance theorem for threefolds in mixed characteristic ⋮ Epsilon multiplicity and analytic spread of filtrations ⋮ Idealistic exponents: tangent cone, ridge, characteristic polyhedra ⋮ Characteristic polyhedra of singularities without completion. II ⋮ Embedded desingularization for arithmetic surfaces – toward a parallel implementation ⋮ Local uniformization of Abhyankar valuations ⋮ Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell ⋮ ANALYTIC SPREAD OF FILTRATIONS ON TWO-DIMENSIONAL NORMAL LOCAL RINGS

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