解链手术，分支封面，椭圆表面上的铅笔

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2023-09-07 DOI:10.2140/agt.2023.23.2867

Terry Fuller

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引用次数: 1

摘要

我们证明了R. Inanc Baykur, Kenta Hayano和Naoyuki Monden (arXiv:1903:02906)构造的无限辛流形族的每一个成员都是微分同构于椭圆曲面的。结果表明:(1)它们族中的辛Calabi-Yau - 4流形与标准K3曲面是微分同构的;(2)对于所有大于等于n的g，每一个椭圆曲面E(n)都有一个Lefschetz铅笔属g;(3)对于所有大于或等于n的g，每个膨胀一次的椭圆曲面E(n)允许一对不相等的g属Lefschetz铅笔。

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Unchaining surgery, branched covers, and pencils on elliptic surfaces

We show that every member of an infinite family of symplectic manifolds constructed by R. Inanc Baykur, Kenta Hayano, and Naoyuki Monden (arXiv:1903:02906) is diffeomorphic to an elliptic surface. As a result: (1) the symplectic Calabi-Yau 4-manifolds among their family are diffeomorphic to the standard K3 surface; (2) each elliptic surface E(n) admits a genus g Lefschetz pencil, for all g greater than or equal to n; and (3) each elliptic surface E(n) blown up once admits a pair of inequivalent genus g Lefschetz pencils, for all g greater than or equal to n.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.