The Geometry of Cubic Hypersurfaces

ISBN-13: 9781009280006 / Twarda / 2023 / 458 str.

Daniel (Universitat Bonn) Huybrechts

Opis

A detailed introduction to cubic hypersurfaces, applying diverse techniques to a central class of algebraic varieties.

Recenzje

'This exceedingly well written monograph covers material ranging from the very beginning of algebraic geometry, the 27 lines on a cubic surface, to highly relevant topical issues. The book will be a most valuable companion to algebraic geometers from graduate students to active researchers.' Klaus Hulek, Leibniz University Hannover

Spis treści

1. Basic facts; 2. Fano varieties of lines; 3. Moduli spaces; 4. Cubic surfaces; 5. Cubic threefolds; 6. Cubic fourfolds; 7. Derived categories of cubic hypersurfaces; References; Subject index.