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Volume 38 (2002)
- Issue 4 Pages 693-
- Issue 3 Pages 451-
- Issue 2 Pages 227-
- Issue 1 Pages 1-
Volume 38, Issue 3
Displaying 1-2 of 2 articles from this issue
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Noboru Nakayama2002 Volume 38 Issue 3 Pages 451-649
Published: 2002
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESS∂-étale topology is introduced for analytic spaces with boundary as an analog of étale topology for schemes. A locally projective elliptic fibration is bimeromorphically considered as a torsor in the ∂-étale topology of the associated basic elliptic fibration. The related ∂-étale cohomology groups have much information on the structure of elliptic fibrations. In particular, an answer to Ueno's extension problem, a relation to Tate–Shafarevich groups and their finiteness properties, characterizations of projective and Kähler elliptic fibrations, and a generalization of logarithmic transformation to arbitrary dimension are obtained. This article is a revised version of [N5].View full abstractDownload PDF (1516K) -
Elena Kaikina, Keiichi Kato, Pavel I. Naumkin, Takayoshi Ogawa2002 Volume 38 Issue 3 Pages 651-691
Published: 2002
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSDownload PDF (452K)
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