Dan Abramovich: New Techniques in Resolution of Singularities
New Techniques in Resolution of Singularities
Buch
- Springer International Publishing, 09/2023
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783031321146
- Bestellnummer: 11605555
- Umfang: 348 Seiten
- Nummer der Auflage: 23001
- Auflage: 1st ed. 2023
- Gewicht: 585 g
- Maße: 240 x 168 mm
- Stärke: 19 mm
- Erscheinungstermin: 15.9.2023
- Serie: Oberwolfach Seminars - Band 50
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
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.