Gushel--Mukai varieties: intermediate Jacobians
Algebraic Geometry
2024-04-17 v4
Abstract
We describe intermediate Jacobians of Gushel-Mukai varieties of dimensions 3 or 5: if is the Lagrangian space associated with , we prove that the intermediate Jacobian of is isomorphic to the Albanese variety of the canonical double covering of any of the two dual Eisenbud-Popescu-Walter surfaces associated with . As an application, we describe the period maps for Gushel-Mukai threefolds and fivefolds.
Cite
@article{arxiv.2002.05620,
title = {Gushel--Mukai varieties: intermediate Jacobians},
author = {Olivier Debarre and Alexander Kuznetsov},
journal= {arXiv preprint arXiv:2002.05620},
year = {2024}
}
Comments
48 pages. Latest addition to our series of articles on the geometry of Gushel-Mukai varieties; v2: minor stylistic improvements, results unchanged; v3: minor improvements; v4: final version, published in EPIGA