Data di Pubblicazione:
2024
Citazione:
Projective orbifolds of Nikulin type / C. Camere, A. Garbagnati, G. Kapustka, M. Kapustka. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - 18:1(2024), pp. 165-208. [10.2140/ant.2024.18.165]
Abstract:
We study projective irreducible symplectic orbifolds of dimension four
that are deformations of partial resolutions of quotients of hyperk¨ahler manifolds of
K3[2]-type by symplectic involutions; we call them orbifolds of Nikulin type. We first
classify those projective orbifolds that are really quotients, by describing all families
of projective fourfolds of K3[2]-type with a symplectic involution and the relation
with their quotients, and then study their deformations. We compute the Riemann–
Roch formula for Weil divisors on orbifolds of Nikulin type and using this we describe
the first known locally complete family of singular irreducible symplectic varieties as
double covers of special complete intersections (3, 4) in P6
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
irreducible symplectic manifolds; irreducible symplectic orbifolds; symplectic automorphisms; 4-folds;
Elenco autori:
C. Camere, A. Garbagnati, G. Kapustka, M. Kapustka
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