Irrationality and monodromy for cubic threefolds
Algebraic Geometry
2019-09-17 v3 Group Theory
Symplectic Geometry
Abstract
We show the cohomological monodromy for the universal family of smooth cubic threefolds 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.
Keywords
Cite
@article{arxiv.1908.06667,
title = {Irrationality and monodromy for cubic threefolds},
author = {Ivan Smith},
journal= {arXiv preprint arXiv:1908.06667},
year = {2019}
}
Comments
22 pages, 6 figures; v3, corrections to the contextual discussion and further bibliographic updates