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

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Department of Mathematics, Article

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Citation Formats

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.