New Techniques in Resolution of Singularities
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...
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| Auteurs principaux: | , , , |
|---|---|
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Édition: | 1st ed. 2023. |
| Collection: | Oberwolfach Seminars,
50 |
| Sujets: | |
| Accès en ligne: | https://doi.org/10.1007/978-3-031-32115-3 |
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| 001 | 978-3-031-32115-3 | ||
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| 020 | |a 9783031321153 |9 978-3-031-32115-3 | ||
| 024 | 7 | |a 10.1007/978-3-031-32115-3 |2 doi | |
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| 072 | 7 | |a PBMW |2 thema | |
| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a Abramovich, Dan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a New Techniques in Resolution of Singularities |h [electronic resource] / |c by Dan Abramovich, Anne Frühbis-Krüger, Michael Temkin, Jarosław Włodarczyk. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2023. | |
| 300 | |a 1 online resource (XX, 326 p. 12 illus.). |b 9 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 50 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 700 | 1 | |a Frühbis-Krüger, Anne. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Temkin, Michael. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Włodarczyk, Jarosław. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031321146 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031321160 |
| 830 | 0 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 50 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-32115-3 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||