Lectures on K3 surfaces:
K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjectu...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schriftenreihe: | Cambridge studies in advanced mathematics
158 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 27 Oct 2016) |
| Beschreibung: | 1 online resource (xi, 485 Seiten) |
| ISBN: | 9781316594193 |
| DOI: | 10.1017/CBO9781316594193 |
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| 520 | |a K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers | ||
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Datensatz im Suchindex
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| author | Huybrechts, Daniel 1966- |
| author_GND | (DE-588)113483716 |
| author_facet | Huybrechts, Daniel 1966- |
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| author_sort | Huybrechts, Daniel 1966- |
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| bvnumber | BV043940064 |
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| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316594193 |
| format | Electronic eBook |
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| id | DE-604.BV043940064 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781316594193 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349035 |
| oclc_num | 967599063 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (xi, 485 Seiten) |
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| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Huybrechts, Daniel 1966- Verfasser (DE-588)113483716 aut Lectures on K3 surfaces Daniel Huybrechts, University of Bonn Cambridge Cambridge University Press 2016 1 online resource (xi, 485 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 158 Title from publisher's bibliographic system (viewed on 27 Oct 2016) K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers Surfaces, Algebraic Threefolds (Algebraic geometry) Geometry, Algebraic Erscheint auch als Druck-Ausgabe 978-1-107-15304-2 Erscheint auch als Druckausgabe 978-1-107-15304-2 Cambridge studies in advanced mathematics 158 (DE-604)BV044781283 158 https://doi.org/10.1017/CBO9781316594193 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Huybrechts, Daniel 1966- Lectures on K3 surfaces Cambridge studies in advanced mathematics Surfaces, Algebraic Threefolds (Algebraic geometry) Geometry, Algebraic |
| title | Lectures on K3 surfaces |
| title_auth | Lectures on K3 surfaces |
| title_exact_search | Lectures on K3 surfaces |
| title_full | Lectures on K3 surfaces Daniel Huybrechts, University of Bonn |
| title_fullStr | Lectures on K3 surfaces Daniel Huybrechts, University of Bonn |
| title_full_unstemmed | Lectures on K3 surfaces Daniel Huybrechts, University of Bonn |
| title_short | Lectures on K3 surfaces |
| title_sort | lectures on k3 surfaces |
| topic | Surfaces, Algebraic Threefolds (Algebraic geometry) Geometry, Algebraic |
| topic_facet | Surfaces, Algebraic Threefolds (Algebraic geometry) Geometry, Algebraic |
| url | https://doi.org/10.1017/CBO9781316594193 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT huybrechtsdaniel lecturesonk3surfaces |