曲线的不可代数邻域

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-07 DOI:10.1007/s10231-024-01542-z

Maycol Falla Luza, Frank Loray, Paulo Sad

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引用次数: 0

摘要

我们提供了嵌入光滑复杂曲面的紧复曲线族，使得曲线的邻域不能嵌入代数曲面。通过在投影曲面上修补曲线的邻域，并吹掉异常曲线，提出了不同的构造方法。这些结构概括了S. Lvovski最近给出的例子。我们的一个非代数论证是基于S. Ivashkovich的一个扩展定理。

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Non-algebraizable neighborhoods of curves

We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different constructions are proposed, by patching neighborhoods of curves in projective surfaces, and blowing down exceptional curves. These constructions generalize examples recently given by S. Lvovski. One of our non algebraic argument is based on an extension theorem of S. Ivashkovich.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.