---
res:
bibo_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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Tanya K
foaf_name: Srivastava, Tanya K
foaf_surname: Srivastava
foaf_workInfoHomepage: http://www.librecat.org/personId=4D046628-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1016/j.bulsci.2021.102957
bibo_issue: '03'
bibo_volume: 167
dct_date: 2021^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0007-4497
dct_language: eng
dct_publisher: Elsevier@
dct_title: Pathologies of the Hilbert scheme of points of a supersingular Enriques
surface@
...