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Communications in Algebra Volume 34, 2006 - Issue 9
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Original Articles

Remarks on Projective Algebraic Fiber Spaces Over Curves

Qilin Yang Mathematical Department, Tsinghua University, Beijing, ChinaCorrespondence[email protected]
Pages 3467-3474 | Received 05 May 2005, Published online: 23 Nov 2006
 
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Abstract

Let f:X → C be a fibration over curve C with general fiber F. Some numerical characteristics of h i ( X ) in terms of h i ( F ), the genus g(C) and the degree of direct image sheaves R i f ∗ (ω X/C ) are given. If f is the derived fibration induced by m-canonical map, further numerical characterizations of m-plurigenus of F are given.

ACKNOWLEDGMENT

I would like to thank Prof. Meng Chen for useful discussions and generous helps.

Notes

Communicated by L. Ein.

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