The Calabi problem for Fano threefolds:
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2023
|
| Series: | London Mathematical Society lecture note series
485 |
| Subjects: | |
| Online Access: | BSB01 BTU01 FHN01 Volltext |
| Summary: | Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. Its solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, it presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces |
| Item Description: | Also issued in print: 2023. - Includes bibliographical references and index |
| Physical Description: | 1 Online-Ressource (vii, 441 Seiten) Illustrationen |
| ISBN: | 9781009193382 |
| DOI: | 10.1017/9781009193382 |
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| id | DE-604.BV049330701 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:45:12Z |
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| institution | BVB |
| institution_GND | (DE-588)1011030-6 |
| isbn | 9781009193382 |
| language | English |
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| physical | 1 Online-Ressource (vii, 441 Seiten) Illustrationen |
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| spelling | Araujo, Carolina (DE-588)1203661479 aut The Calabi problem for Fano threefolds Carolina Araujo [and eight others] Cambridge Cambridge University Press 2023 1 Online-Ressource (vii, 441 Seiten) Illustrationen txt rdacontent sti rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 485 Also issued in print: 2023. - Includes bibliographical references and index Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. Its solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, it presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces Threefolds (Algebraic geometry) London Mathematical Society Sonstige (DE-588)1011030-6 oth Erscheint auch als Druck-Ausgabe 978-1-009-19339-9 https://doi.org/10.1017/9781009193382 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Araujo, Carolina The Calabi problem for Fano threefolds Threefolds (Algebraic geometry) |
| title | The Calabi problem for Fano threefolds |
| title_auth | The Calabi problem for Fano threefolds |
| title_exact_search | The Calabi problem for Fano threefolds |
| title_exact_search_txtP | The Calabi problem for Fano threefolds |
| title_full | The Calabi problem for Fano threefolds Carolina Araujo [and eight others] |
| title_fullStr | The Calabi problem for Fano threefolds Carolina Araujo [and eight others] |
| title_full_unstemmed | The Calabi problem for Fano threefolds Carolina Araujo [and eight others] |
| title_short | The Calabi problem for Fano threefolds |
| title_sort | the calabi problem for fano threefolds |
| topic | Threefolds (Algebraic geometry) |
| topic_facet | Threefolds (Algebraic geometry) |
| url | https://doi.org/10.1017/9781009193382 |
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