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The Hodge diamond of O’Grady’s six-dimensional example

Published online by Cambridge University Press:  21 March 2018

Giovanni Mongardi
Affiliation:
Dipartimento di Matematica, Alma Mater Studiorum Università di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italia email giovanni.mongardi2@unibo.it
Antonio Rapagnetta
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, Roma 00133, Italia email rapagnet@axp.mat.uniroma2.it
Giulia Saccà
Affiliation:
Department of Mathematics, Stony Brook University, Stony Brook, NY 11974-3651, USA email giulia.sacca@stonybrook.edu

Abstract

We realize O’Grady’s six-dimensional example of an irreducible holomorphic symplectic (IHS) manifold as a quotient of an IHS manifold of $\text{K3}^{[3]}$ type by a birational involution, thereby computing its Hodge numbers.

Type
Research Article
Copyright
© The Authors 2018 

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