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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the integral cohomology of quotients of manifolds by cyclic groups

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Author(s):
Menet, Gregoire
Total Authors: 1
Document type: Journal article
Source: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES; v. 119, p. 280-325, NOV 2018.
Web of Science Citations: 1
Abstract

We propose new tools based on basic lattice theory to calculate the integral cohomology of the quotient of a manifold by an automorphism group of prime order. As examples of applications, we provide the Beauville-Bogomolov forms of some irreducible symplectic orbifolds; we also show a new expression for a basis of the integral cohomology of a Hilbert scheme of two points on a surface. (C) 2017 Elsevier Masson SAS. All rights reserved. (AU)

FAPESP's process: 14/05733-9 - Geometry of irreducible symplectic varieties
Grantee:Grégoire Menet
Support Opportunities: Scholarships in Brazil - Post-Doctoral