UID:
almafu_9961130212102883
Format:
1 online resource (xvii, 441 pages) :
,
digital, PDF file(s).
Edition:
First edition.
ISBN:
9781009279994
,
1009279998
,
9781009280020
,
1009280023
Series Statement:
Cambridge Studies in Advanced Mathematics
Content:
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.
Note:
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.
Additional Edition:
ISBN 9781009280006
Additional Edition:
ISBN 1009280007
Language:
English
Keywords:
Llibres electrònics
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