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On the structure of generalized Albanese varieties

Published online by Cambridge University Press:  24 October 2008

Hurit nsiper
Hurit nsiper
Affiliation:
Department of Mathematics, Middle East Technical University, Ankara, Turkey
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 267 - 272
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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2nsipee, H.. On generalized Albanese varieties for surfaces. Math. Proc. Cambridge Philos. Soc. 104 (1988), 16.Google Scholar
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