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Birational Geometry of Hypersurfaces

E-BookPDF1 - PDF WatermarkE-Book
297 Seiten
Englisch
Springer International Publishingerschienen am08.10.20191st ed. 2019
Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side.

Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.



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BuchKartoniert, Paperback
EUR96,29
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextOriginating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side.

Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.



Details
Weitere ISBN/GTIN9783030186388
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2019
Erscheinungsdatum08.10.2019
Auflage1st ed. 2019
Reihen-Nr.26
Seiten297 Seiten
SpracheEnglisch
IllustrationenIX, 297 p. 36 illus.
Artikel-Nr.4902088
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
- Part I Birational Invariants and (Stable) Rationality. - Birational Invariants and Decomposition of the Diagonal. - Non rationalité stable sur les corps quelconques. - Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder. - Part II Hypersurfaces. - The Rigidity Theorem of Fano-Segre-Iskovskikh-Manin-Pukhlikov-Corti-Cheltsov-deFernex-Ein-Mustata-Zhuang. - Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories. - Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces. - Appendix: Introduction to Derived Categories of Coherent Sheaves.mehr