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ON THE STRUCTURE OF GENERALIZED ALBANESE VARIETIES
Date
1992-03-01
Author
ONSIPER, H
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Given a smooth projective surface X over an algebraically closed field k and a modulus (an effective divisor) m on X, one defines the idle class group Cm(X) of X with modulus m (see 1, chapter III, section 4). The corresponding generalized Albanese variety Gum and the generalized Albanese map um:X|m|Gum have the following universal mapping property (2): if :XG is a rational map into a commutative algebraic group which induces a homomorphism Cm(X)G(k) (1, chapter III, proposition 1), then factors uniquely through um.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/63595
Journal
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
DOI
https://doi.org/10.1017/s0305004100075356
Collections
Department of Mathematics, Article
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H. ONSIPER, “ON THE STRUCTURE OF GENERALIZED ALBANESE VARIETIES,”
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
, pp. 267–272, 1992, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63595.