Finite linear groups, lattices, and products of elliptic curves

Vladimir L. Popov; Yuri G. Zarhin

doi:10.1016/j.jalgebra.2006.04.007

Finite linear groups, lattices, and products of elliptic curves

Vladimir L. Popov
, Yuri G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let V be a finite-dimensional complex linear space and G an irreducible finite subgroup of GL (V). For a G-invariant lattice Λ in V of maximal rank, we describe the structure of complex torus V / Λ.

Original language	English (US)
Pages (from-to)	562-576
Number of pages	15
Journal	Journal of Algebra
Volume	305
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2006.04.007
State	Published - Nov 1 2006

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2006.04.007

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title = "Finite linear groups, lattices, and products of elliptic curves",

abstract = "Let V be a finite-dimensional complex linear space and G an irreducible finite subgroup of GL (V). For a G-invariant lattice Λ in V of maximal rank, we describe the structure of complex torus V / Λ.",

author = "Popov, \{Vladimir L.\} and Zarhin, \{Yuri G.\}",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (V.L. Popov), [email protected] (Yu.G. Zarhin). 1 Supported in part by ETH, Z{\"u}rich (Switzerland), Russian grants РФФИ 05-01-00455, НШ-9969.2006.1, and a (granting) program of the Mathematics Branch of the Russian Academy of Sciences. 2 Partially supported by the MSRI.",

year = "2006",

month = nov,

day = "1",

doi = "10.1016/j.jalgebra.2006.04.007",

language = "English (US)",

volume = "305",

pages = "562--576",

journal = "Journal of Algebra",

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T1 - Finite linear groups, lattices, and products of elliptic curves

AU - Popov, Vladimir L.

AU - Zarhin, Yuri G.

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (V.L. Popov), [email protected] (Yu.G. Zarhin). 1 Supported in part by ETH, Zürich (Switzerland), Russian grants РФФИ 05-01-00455, НШ-9969.2006.1, and a (granting) program of the Mathematics Branch of the Russian Academy of Sciences. 2 Partially supported by the MSRI.

PY - 2006/11/1

Y1 - 2006/11/1

N2 - Let V be a finite-dimensional complex linear space and G an irreducible finite subgroup of GL (V). For a G-invariant lattice Λ in V of maximal rank, we describe the structure of complex torus V / Λ.

AB - Let V be a finite-dimensional complex linear space and G an irreducible finite subgroup of GL (V). For a G-invariant lattice Λ in V of maximal rank, we describe the structure of complex torus V / Λ.

UR - https://www.scopus.com/pages/publications/33748686157

UR - https://www.scopus.com/pages/publications/33748686157#tab=citedBy

U2 - 10.1016/j.jalgebra.2006.04.007

DO - 10.1016/j.jalgebra.2006.04.007

M3 - Article

AN - SCOPUS:33748686157

SN - 0021-8693

VL - 305

SP - 562

EP - 576

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Finite linear groups, lattices, and products of elliptic curves

Abstract

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