Complex algebraic threefolds:
The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good unde...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY
Cambridge University Press
2023
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
209 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 Volltext |
| Zusammenfassung: | The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 29 Sep 2023) The minimal model program -- Singularities -- Divisorial contractions to points -- Divisorial contractions to curves -- Flips -- The Sarkisov category -- Conical fibrations -- Del Pezzo fibrations -- Fano threefolds -- Minimal models |
| Beschreibung: | 1 Online-Ressource (xii, 490 Seiten) |
| ISBN: | 9781108933988 |
| DOI: | 10.1017/9781108933988 |
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| 520 | |a The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension | ||
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| author | Kawakita, Masayuki 1976- |
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| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108933988 |
| format | Electronic eBook |
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| id | DE-604.BV049508933 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:22:49Z |
| indexdate | 2024-07-10T10:09:17Z |
| institution | BVB |
| isbn | 9781108933988 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034855028 |
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| physical | 1 Online-Ressource (xii, 490 Seiten) |
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| publishDate | 2023 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge studies in advanced mathematics |
| spelling | Kawakita, Masayuki 1976- (DE-588)1309174423 aut Complex algebraic threefolds Masayuki Kawakita Cambridge ; New York, NY Cambridge University Press 2023 1 Online-Ressource (xii, 490 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 209 Title from publisher's bibliographic system (viewed on 29 Sep 2023) The minimal model program -- Singularities -- Divisorial contractions to points -- Divisorial contractions to curves -- Flips -- The Sarkisov category -- Conical fibrations -- Del Pezzo fibrations -- Fano threefolds -- Minimal models The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension Threefolds (Algebraic geometry) Abelian varieties Erscheint auch als Druck-Ausgabe 978-1-108-84423-9 https://doi.org/10.1017/9781108933988 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kawakita, Masayuki 1976- Complex algebraic threefolds Threefolds (Algebraic geometry) Abelian varieties |
| title | Complex algebraic threefolds |
| title_auth | Complex algebraic threefolds |
| title_exact_search | Complex algebraic threefolds |
| title_exact_search_txtP | Complex algebraic threefolds |
| title_full | Complex algebraic threefolds Masayuki Kawakita |
| title_fullStr | Complex algebraic threefolds Masayuki Kawakita |
| title_full_unstemmed | Complex algebraic threefolds Masayuki Kawakita |
| title_short | Complex algebraic threefolds |
| title_sort | complex algebraic threefolds |
| topic | Threefolds (Algebraic geometry) Abelian varieties |
| topic_facet | Threefolds (Algebraic geometry) Abelian varieties |
| url | https://doi.org/10.1017/9781108933988 |
| work_keys_str_mv | AT kawakitamasayuki complexalgebraicthreefolds |