Birational Geometry of Hypersurfaces

Released on by Andreas Hochenegger
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  • Birational Geometry of Hypersurfaces Book Detail

  • Author : Andreas Hochenegger
  • Release Date : 2019-10-08
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 297
  • ISBN 13 : 3030186385
  • File Size : 70,70 MB
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Birational Geometry of Hypersurfaces by Andreas Hochenegger PDF Summary

Book Description: 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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Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more

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The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan