Irrationality and monodromy for cubic threefolds
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Smith, Ivan
Abstract
Let M denote the moduli space of smooth cubic threefolds. We prove that the monodromy 1(M) ! Sp(10;Z) of the 3rd cohomology groups on the fibres of the universal family does not factor through the genus five mapping class group. This gives a geometric group theory perspective on the well-known irrationality of cubic threefolds, and provides evidence for a corresponding symplectic nonrationality conjecture.
Description
Keywords
4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Conference Name
Journal ISSN
0391-173X
2036-2145
2036-2145
Volume Title
Publisher
Scuola Normale Superiore - Edizioni della Normale
Publisher DOI
Rights
Sponsorship
Engineering and Physical Sciences Research Council (EP/N01815X/1)