New Techniques in Resolution of Singularities

Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a...

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Bibliographic Details
Main Authors: Abramovich, Dan, Frühbis-Krüger, Anne (Author), Temkin, Michael (Author), Włodarczyk, Jarosław (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2023, 2023
Edition:1st ed. 2023
Series:Oberwolfach Seminars
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary:Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a byproduct a short, a simple and efficient functorial resolution procedure in characteristic 0 using just algebraic stacks was produced. The goals of the book, the result of an Oberwolfach Seminar, are to introduce readers to explicit techniques of resolution of singularities with access to computer implementations, introduce readers to the theories of algebraic stacks and logarithmic structures, and to resolution in families and semistable reduction methods
Physical Description:XX, 326 p. 12 illus., 9 illus. in color online resource
ISBN:9783031321153