An Introduction to Resolution of Singularities via the Multiplicity

DOI10.1007/978-3-319-96827-8_11zbMath1405.14042OpenAlexW2891663191MaRDI QIDQ4613696

Diego Sulca, Orlando E. Villamayor U.

Publication date: 24 January 2019

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96827-8_11

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02)

Related Items (3)

Finite morphisms and Nash multiplicity sequences ⋮ Contact loci and Hironaka's order ⋮ Multiplicity along points of a radicial covering of a regular variety

Cites Work

• Some natural properties of constructive resolution of singularities
• Multiplicities and Hilbert functions under blowing up
• Equimultiplicity, algebraic elimination, and blowing-up
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• On the characteristic functions of a local ring
• Anneaux locaux henséliens
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• On Rees algebras and invariants for singularities over perfect fields
• Two theorems on excellent rings
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