Explicit birational geometry of 3-folds:
One of the main achievements of algebraic geometry over the last 30 years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This book, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to bir...
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| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2000
|
| Series: | London Mathematical Society lecture note series
281 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | One of the main achievements of algebraic geometry over the last 30 years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This book, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds; these contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted projective space, and include an attractive introductory treatment and a wealth of detailed computation of special cases |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (v, 349 pages) |
| ISBN: | 9780511758942 |
| DOI: | 10.1017/CBO9780511758942 |
Staff View
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| 520 | |a One of the main achievements of algebraic geometry over the last 30 years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This book, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds; these contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted projective space, and include an attractive introductory treatment and a wealth of detailed computation of special cases | ||
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Record in the Search Index
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| any_adam_object | |
| author2 | Corti, Alessio 1965- Reid, Miles |
| author2_role | edt edt |
| author2_variant | a c ac m r mr |
| author_additional | Alessio Corti and Miles Reid Klaus Altmann János Kollár Aleksandr V. Pukhlikov A.R. Iano-Fletcher Alessio Corti, Aleksandr Pukhlikov and Miles Reid Alessio Cortio Miles Reid |
| author_facet | Corti, Alessio 1965- Reid, Miles |
| building | Verbundindex |
| bvnumber | BV043941472 |
| classification_rvk | SI 320 SK 240 |
| collection | ZDB-20-CBO |
| contents | Foreword One parameter families contaning three dimensional toric gorenstein singularities Nonrational covers of CPm X CPn Essentials of the method of maximal singularities Working with weighted complete intersections Fano 3-fold hypersurfaces Singularities of linear systems and 3-fold birational geometry Twenty five years of 3-folds-an old person's view |
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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 |
| doi_str_mv | 10.1017/CBO9780511758942 |
| format | Electronic eBook |
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| isbn | 9780511758942 |
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| spelling | Explicit birational geometry of 3-folds edited by Alessio Corti, Miles Reid Cambridge Cambridge University Press 2000 1 online resource (v, 349 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 281 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Alessio Corti and Miles Reid Foreword Klaus Altmann One parameter families contaning three dimensional toric gorenstein singularities János Kollár Nonrational covers of CPm X CPn Aleksandr V. Pukhlikov Essentials of the method of maximal singularities A.R. Iano-Fletcher Working with weighted complete intersections Alessio Corti, Aleksandr Pukhlikov and Miles Reid Fano 3-fold hypersurfaces Alessio Cortio Singularities of linear systems and 3-fold birational geometry Miles Reid Twenty five years of 3-folds-an old person's view One of the main achievements of algebraic geometry over the last 30 years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This book, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds; these contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted projective space, and include an attractive introductory treatment and a wealth of detailed computation of special cases Threefolds (Algebraic geometry) Geometry, Algebraic Surfaces, Algebraic Dimension 3 (DE-588)4321722-9 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Birationale Geometrie (DE-588)4494748-3 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Birationale Geometrie (DE-588)4494748-3 s Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s 2\p DE-604 Corti, Alessio 1965- edt Reid, Miles edt Erscheint auch als Druckausgabe 978-0-521-63641-4 https://doi.org/10.1017/CBO9780511758942 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Explicit birational geometry of 3-folds Foreword One parameter families contaning three dimensional toric gorenstein singularities Nonrational covers of CPm X CPn Essentials of the method of maximal singularities Working with weighted complete intersections Fano 3-fold hypersurfaces Singularities of linear systems and 3-fold birational geometry Twenty five years of 3-folds-an old person's view Threefolds (Algebraic geometry) Geometry, Algebraic Surfaces, Algebraic Dimension 3 (DE-588)4321722-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Birationale Geometrie (DE-588)4494748-3 gnd |
| subject_GND | (DE-588)4321722-9 (DE-588)4037379-4 (DE-588)4494748-3 (DE-588)4143413-4 |
| title | Explicit birational geometry of 3-folds |
| title_alt | Foreword One parameter families contaning three dimensional toric gorenstein singularities Nonrational covers of CPm X CPn Essentials of the method of maximal singularities Working with weighted complete intersections Fano 3-fold hypersurfaces Singularities of linear systems and 3-fold birational geometry Twenty five years of 3-folds-an old person's view |
| title_auth | Explicit birational geometry of 3-folds |
| title_exact_search | Explicit birational geometry of 3-folds |
| title_full | Explicit birational geometry of 3-folds edited by Alessio Corti, Miles Reid |
| title_fullStr | Explicit birational geometry of 3-folds edited by Alessio Corti, Miles Reid |
| title_full_unstemmed | Explicit birational geometry of 3-folds edited by Alessio Corti, Miles Reid |
| title_short | Explicit birational geometry of 3-folds |
| title_sort | explicit birational geometry of 3 folds |
| topic | Threefolds (Algebraic geometry) Geometry, Algebraic Surfaces, Algebraic Dimension 3 (DE-588)4321722-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Birationale Geometrie (DE-588)4494748-3 gnd |
| topic_facet | Threefolds (Algebraic geometry) Geometry, Algebraic Surfaces, Algebraic Dimension 3 Mannigfaltigkeit Birationale Geometrie Aufsatzsammlung |
| url | https://doi.org/10.1017/CBO9780511758942 |
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