--- 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_identifier: - UT:000623881600009 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@ ...