@article{9173,
abstract = {We show that Hilbert schemes of points on supersingular Enriques surface in characteristic 2, Hilbn(X), for n ≥ 2 are simply connected, symplectic varieties but are not irreducible symplectic as the hodge number h2,0 > 1, even though a supersingular Enriques surface is an irreducible symplectic variety. These are the classes of varieties which appear only in characteristic 2 and they show that the hodge number formula for G¨ottsche-Soergel does not hold over haracteristic 2. It also gives examples of varieties with trivial canonical class which are neither irreducible symplectic nor Calabi-Yau, thereby showing that there are strictly more classes of simply connected varieties with trivial canonical class in characteristic 2 than over C as given by Beauville-Bogolomov decomposition theorem.},
author = {Srivastava, Tanya K},
issn = {0007-4497},
journal = {Bulletin des Sciences Mathematiques},
number = {03},
publisher = {Elsevier},
title = {{Pathologies of the Hilbert scheme of points of a supersingular Enriques surface}},
doi = {10.1016/j.bulsci.2021.102957},
volume = {167},
year = {2021},
}