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Published in:
The Lüroth Problem Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Derived Categories View on Rationality Problems

Author : Alexander Kuznetsov

Published in: Rationality Problems in Algebraic Geometry

Publisher: Springer International Publishing

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Abstract

We discuss a relation between the structure of derived categories of smooth projective varieties and their birational properties. We suggest a possible definition of a birational invariant, the derived category analogue of the intermediate Jacobian, and discuss its possible applications to the geometry of prime Fano threefolds and cubic fourfolds.

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previous chapter Cubic Fourfolds, K3 Surfaces, and Rationality Questions
next chapter Classical Moduli Spaces and Rationality
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Metadata
Title
Derived Categories View on Rationality Problems
Author
Alexander Kuznetsov
Copyright Year
2016
Book
Rationality Problems in Algebraic Geometry

Print ISBN: 978-3-319-46208-0

Electronic ISBN: 978-3-319-46209-7

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-46209-7_3

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