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商品詳細
New Techniques in Resolution of Singularities. 1st ed. 2023.
・ISBN 978-3-031-32114-6 paper EUR 69.99
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| 著者・編者 | Abramovich, Dan / Fruehbis-Krueger, Anne / Temkin, Michael / Wlodarczyk, Jaroslaw, |
|---|---|
| シリーズ | Oberwolfach Seminars |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 326 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5887＞ |
解説
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.