曲线上阿贝尔变异中纤颤的代数近似

IF 0.9 1区 数学 Q2 MATHEMATICS Journal of Algebraic Geometry Pub Date : 2016-12-29 DOI:10.1090/jag/791
Hsueh-Yung Lin
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xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper B\">\n <mml:semantics>\n <mml:mi>B</mml:mi>\n <mml:annotation encoding=\"application/x-tex\">B</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula> a smooth projective curve, and a general fiber of <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"f\">\n <mml:semantics>\n <mml:mi>f</mml:mi>\n <mml:annotation encoding=\"application/x-tex\">f</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula> an abelian variety, we prove that <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"f\">\n <mml:semantics>\n <mml:mi>f</mml:mi>\n <mml:annotation encoding=\"application/x-tex\">f</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula> has an algebraic approximation.</p>","PeriodicalId":54887,"journal":{"name":"Journal of Algebraic Geometry","volume":"1 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引用次数: 7

摘要

对于每一个纤维f: X→B f: X \到B,其中X X是紧的Kähler流形,B B是光滑的投影曲线,f f是一个一般的纤维和阿贝尔变,我们证明了f f有一个代数逼近。
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Algebraic approximations of fibrations in abelian varieties over a curve

For every fibration f : X B f : X \to B with X X a compact Kähler manifold, B B a smooth projective curve, and a general fiber of f f an abelian variety, we prove that f f has an algebraic approximation.

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来源期刊
CiteScore
2.70
自引率
5.60%
发文量
23
审稿时长
>12 weeks
期刊介绍: The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.
期刊最新文献
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