A note on degenerations of fibered surfaces

Date

1997-03-24

Author

Onsiper, H

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Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/63942

Journal

INDAGATIONES MATHEMATICAE-NEW SERIES

DOI

https://doi.org/10.1016/s0019-3577(97)83354-x

Collections

Department of Mathematics, Article

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ON THE STRUCTURE OF GENERALIZED ALBANESE VARIETIES ONSIPER, H (Cambridge University Press (CUP), 1992-03-01) 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 th...
On degenerations of fiber spaces of curves of genus >=2 Onsiper, H; Sertoz, S (Springer Science and Business Media LLC, 1997-10-01) In this note, we show that for surfaces admitting suitable fibralions, any given degeneration X/Delta is bimeromorphic to a fiber space over a curve Y/Delta and we apply this result to the study of the degenerate fiber.
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Citation Formats

H. Onsiper, “A note on degenerations of fibered surfaces,” INDAGATIONES MATHEMATICAE-NEW SERIES, pp. 115–118, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63942.