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200 10$aBirational Geometry of Hypersurfaces $eGargnano del Garda, Italy, 2018 /$fedited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (IX, 297 p. 36 illus.) 
225 1 $aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v26
311   $a3-030-18637-7 
330   $aOriginating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger. .
410  0$aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v26
606   $aAlgebraic geometry
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
615  0$aAlgebraic geometry.
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615 14$aAlgebraic Geometry.
615 24$aCategory Theory, Homological Algebra.
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702   $aHochenegger$b Andreas$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aLehn$b Manfred$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aStellari$b Paolo$4edt$4http://id.loc.gov/vocabulary/relators/edt
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