The geometry of cubic hypersurfaces:
Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersur...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
[2023]
|
| Ausgabe: | First published |
| Schriftenreihe: | Cambridge studies in advanced mathematics
206 |
| Schlagworte: | |
| Zusammenfassung: | Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 15 Jun 2023) Basic facts -- Fano varieties of lines -- Moduli spaces -- Cubic surfaces -- Cubic threefolds -- Cubic fourfolds -- Derived categories of cubic hypersurfaces |
| Beschreibung: | xvii, 441 Seiten Illustrationen |
| ISBN: | 9781009280006 |
Internformat
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| 100 | 1 | |a Huybrechts, Daniel |d 1966- |0 (DE-588)113483716 |4 aut | |
| 245 | 1 | 0 | |a The geometry of cubic hypersurfaces |c Daniel Huybrechts |
| 250 | |a First published | ||
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| 264 | 4 | |c © 2023 | |
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 206 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 15 Jun 2023) | ||
| 500 | |a Basic facts -- Fano varieties of lines -- Moduli spaces -- Cubic surfaces -- Cubic threefolds -- Cubic fourfolds -- Derived categories of cubic hypersurfaces | ||
| 520 | |a Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry | ||
| 650 | 4 | |a Surfaces, Cubic | |
| 650 | 4 | |a Hypersurfaces | |
| 650 | 4 | |a Equations, Cubic | |
| 650 | 4 | |a Geometry, Algebraic | |
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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- |
| author_role | aut |
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| author_variant | d h dh |
| building | Verbundindex |
| bvnumber | BV049809326 |
| ctrlnum | (OCoLC)1390439539 (DE-599)BVBBV049809326 |
| 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 |
| edition | First published |
| format | Book |
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| id | DE-604.BV049809326 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T00:37:26Z |
| institution | BVB |
| isbn | 9781009280006 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035149746 |
| oclc_num | 1390439539 |
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| owner | DE-83 |
| owner_facet | DE-83 |
| physical | xvii, 441 Seiten Illustrationen |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Huybrechts, Daniel 1966- (DE-588)113483716 aut The geometry of cubic hypersurfaces Daniel Huybrechts First published Cambridge Cambridge University Press [2023] © 2023 xvii, 441 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 206 Title from publisher's bibliographic system (viewed on 15 Jun 2023) Basic facts -- Fano varieties of lines -- Moduli spaces -- Cubic surfaces -- Cubic threefolds -- Cubic fourfolds -- Derived categories of cubic hypersurfaces Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry Surfaces, Cubic Hypersurfaces Equations, Cubic Geometry, Algebraic Erscheint auch als Online-Ausgabe 978-1-00-928002-0 Cambridge studies in advanced mathematics 206 (DE-604)BV000003678 206 |
| spellingShingle | Huybrechts, Daniel 1966- The geometry of cubic hypersurfaces Surfaces, Cubic Hypersurfaces Equations, Cubic Geometry, Algebraic Cambridge studies in advanced mathematics |
| title | The geometry of cubic hypersurfaces |
| title_auth | The geometry of cubic hypersurfaces |
| title_exact_search | The geometry of cubic hypersurfaces |
| title_full | The geometry of cubic hypersurfaces Daniel Huybrechts |
| title_fullStr | The geometry of cubic hypersurfaces Daniel Huybrechts |
| title_full_unstemmed | The geometry of cubic hypersurfaces Daniel Huybrechts |
| title_short | The geometry of cubic hypersurfaces |
| title_sort | the geometry of cubic hypersurfaces |
| topic | Surfaces, Cubic Hypersurfaces Equations, Cubic Geometry, Algebraic |
| topic_facet | Surfaces, Cubic Hypersurfaces Equations, Cubic Geometry, Algebraic |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT huybrechtsdaniel thegeometryofcubichypersurfaces |