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
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]
Projective orbifolds of Nikulin type
C. CamerePrimo
;A. Garbagnati
Secondo
;
2024
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 P6File | Dimensione | Formato | |
---|---|---|---|
Orbifolds_of_Nikulin_type___revision.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
558.61 kB
Formato
Adobe PDF
|
558.61 kB | Adobe PDF | Visualizza/Apri |
ant-v18-n1-p04-s.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
1.54 MB
Formato
Adobe PDF
|
1.54 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.