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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Studies in Advanced Mathematics |
| Release date: |
June 2023 |
| Authors: |
Daniel Huybrechts
|
| Format: |
Hardcover
|
| Pages: |
458 |
| ISBN-13: |
978-1-00-928000-6 |
| Categories: |
Books
|
| LSN: |
1-00-928000-7 |
| Barcode: |
9781009280006 |
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