Prime Fano threefolds and integrable systems
Atanas Iliev, Laurent Manivel
Abstract
For a general K3 surface of genus g = 2,3,...,10, we prove that the intermediate jacobians of the family of prime Fano threefolds of genus g containing S as a hyperplane section, form generically an algebraic completely integrable system.
Create a lesson
Related papers
Towards the Global Torelli Theorem
Daniil Serebrennikov
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza et al.
Proper moduli spaces of isolated non-normal singularities
Jiucheng Dai, Daniel Halpern-Leistner, Mingjun Sun et al.
Divisors in projective bundles over the projective line whose complement is affine space
Remy van Dobben de Bruyn
Numerical Godeaux Surfaces with many disjoint (-2)-curves and Applications
Yifan Chen, YongJoo Shin
Nash Loci
Luca Sodomaco, Julian Weigert