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2018 | OriginalPaper | Chapter

An Introduction to Resolution of Singularities via the Multiplicity

Authors : Diego Sulca, Orlando Villamayor U.

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Publisher: Springer International Publishing

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Abstract

In these notes we study properties of the multiplicity at points of a variety X over a perfect field. We focus on properties that can be studied using ramification method, such as discriminants and some generalized discriminants that we shall introduce. We also show how these methods lead to an alternative proof of resolution of singularities for varieties over fields of characteristic zero.

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previous chapter On Hasse–Schmidt Derivations: The Action of Substitution Maps
next chapter Platonic Surfaces
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Metadata
Title
An Introduction to Resolution of Singularities via the Multiplicity
Authors
Diego Sulca
Orlando Villamayor U.
Copyright Year
2018
Book
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Print ISBN: 978-3-319-96826-1

Electronic ISBN: 978-3-319-96827-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-96827-8_11

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