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Koszul Cohomology and Algebraic Geometry
About this Title
Marian Aprodu, Institute of Mathematics ‘Simion Stoilow’ of the Romanian Academy, Bucharest, Romania and Jan Nagel, Université de Bourgogne, Dijon, France
Publication: University Lecture Series
Publication Year:
2010; Volume 52
ISBNs: 978-0-8218-4964-4 (print); 978-1-4704-1647-8 (online)
DOI: https://doi.org/10.1090/ulect/052
MathSciNet review: MR2573635
MSC: Primary 14H51; Secondary 13D02, 14C20
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Basic definitions
- Chapter 2. Basic results
- Chapter 3. Syzygy schemes
- Chapter 4. The conjectures of Green and Green-Lazarsfeld
- Chapter 5. Koszul cohomology and the Hilbert scheme
- Chapter 6. Koszul cohomology of a $K3$ surface
- Chapter 7. Specific versions of the syzygy conjectures
- Chapter 8. Applications