Abelian fourfolds of Weil type and certain K3 double planes

G. Lombardo; C.A.M. Peters; M. Schütt

Abelian fourfolds of Weil type and certain K3 double planes

G. Lombardo, C.A.M. Peters, M. Schütt

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Abstract

Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to Abelian fourfolds of Weil type. We compare these two moduli interpretations and in particular divisors on the moduli spaces. On the K3 side, this is achieved with the help of elliptic fibrations. We also study the Kuga-Satake correspondence on these special divisors

Original language	English
Pages (from-to)	339-383
Number of pages	45
Journal	Rendiconti del Seminario Matematico dell'Università e Politecnico di Torino
Volume	71
Issue number	3-4
Publication status	Published - 2013
Externally published	Yes

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title = "Abelian fourfolds of Weil type and certain K3 double planes",

abstract = "Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to Abelian fourfolds of Weil type. We compare these two moduli interpretations and in particular divisors on the moduli spaces. On the K3 side, this is achieved with the help of elliptic fibrations. We also study the Kuga-Satake correspondence on these special divisors",

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T1 - Abelian fourfolds of Weil type and certain K3 double planes

AU - Lombardo, G.

AU - Peters, C.A.M.

AU - Schütt, M.

PY - 2013

Y1 - 2013

N2 - Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to Abelian fourfolds of Weil type. We compare these two moduli interpretations and in particular divisors on the moduli spaces. On the K3 side, this is achieved with the help of elliptic fibrations. We also study the Kuga-Satake correspondence on these special divisors

AB - Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to Abelian fourfolds of Weil type. We compare these two moduli interpretations and in particular divisors on the moduli spaces. On the K3 side, this is achieved with the help of elliptic fibrations. We also study the Kuga-Satake correspondence on these special divisors

KW - K3 double planes

KW - Abelian 4-folds

KW - Kuga-Satake correspondences

M3 - Article

SN - 0373-1243

VL - 71

SP - 339

EP - 383

JO - Rendiconti del Seminario Matematico dell'Università e Politecnico di Torino

JF - Rendiconti del Seminario Matematico dell'Università e Politecnico di Torino

IS - 3-4

ER -

Abelian fourfolds of Weil type and certain K3 double planes

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