New Techniques in Resolution of Singularities
Springer International Publishing (Verlag)
978-3-031-32114-6 (ISBN)
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.
Dan Abramovich is a professor at Brown University. He works in arithmetic geometry, birational geometry, and moduli spaces.Anne Frühbis-Krüger is a professor at Oldenburg University, Germany. She works at the interface between mathematical research and algorithm development. Michael Temkin is a professor at the Hebrew University in Jerusalem, Israel. He currently works in the fields of birational and non-archimedean geometries. Jaroslaw Wlodarczyk is a professor in algebraic geometry at Purdue University, West Lafayette, USA.
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.
| Erscheinungsdatum | 16.09.2023 |
|---|---|
| Reihe/Serie | Oberwolfach Seminars |
| Zusatzinfo | XX, 326 p. 12 illus., 9 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 168 x 240 mm |
| Gewicht | 591 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | algebraic stacks • Computer Algebra • Logarithmic Geometry • Resolution of Singularities • Semistable Reduction |
| ISBN-10 | 3-031-32114-6 / 3031321146 |
| ISBN-13 | 978-3-031-32114-6 / 9783031321146 |
| Zustand | Neuware |
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