New Techniques in Resolution of Singularities
1st ed. 2023
Book Details
Format
Paperback / Softback
Book Series
Oberwolfach Seminars
ISBN-10
3031321146
ISBN-13
9783031321146
Edition
1st ed. 2023
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 15th, 2023
Print length
326 Pages
Product Classification:
Algebraic geometry
Ksh 9,900.00
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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.
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