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Record Nr. |
UNINA9910349318403321 |
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Titolo |
Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018 / / edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (IX, 297 p. 36 illus.) |
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Collana |
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Lecture Notes of the Unione Matematica Italiana, , 1862-9113 ; ; 26 |
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Disciplina |
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Soggetti |
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Algebraic geometry |
Category theory (Mathematics) |
Homological algebra |
Algebraic Geometry |
Category Theory, Homological Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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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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