| Dewey Class |
516.35 |
| Title |
New Techniques in Resolution of Singularities (EBook /) / by Dan Abramovich, Anne Frühbis-Krüger, Michael Temkin, Jarosław Włodarczyk. |
| Author |
Abramovich, Dan |
| Added Personal Name |
Frühbis-Krüger, Anne |
| Temkin, Michael |
| Włodarczyk, Jarosław |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2023. |
| Publication |
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2023. |
| Physical Details |
XX, 326 p. 12 illus., 9 illus. in color. : online resource. |
| Series |
Oberwolfach Seminars 2296-5041 ; ; 50 |
| ISBN |
9783031321153 |
| Summary Note |
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.: |
| Contents note |
A Computational View on Hironaka’s Resolution of Singularities -- Stacks for Everyone Who Cares About Varieties and Singularities -- Introduction to Logarithmic Geometry -- Birational Geometry Using Weighted Blowing Up -- Relative and Logarithmic Resolution of Singularities -- Weighted Resolution of Singularities. A Rees Algebra Approach -- New Techniques in Resolution of Singularities: Open Problems. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2023. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-031-32115-3 |
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