有理曲面和直纹曲面上的不等价Lefschetz振动

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-06-01 DOI:10.1090/pspum/102/02

R. Baykur

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引用次数: 1

摘要

在这篇简短的笔记中，我们给出了在所有有理面和直纹面的放大上的同属不等价Lefschetz铅笔和纤维的一个显式构造。这补充了我们之前的结果，得出结论:每一个辛4流形，在足够多的膨胀之后，都承认不相等的Lefschetz铅笔和纤维，即使通过任何纤维Luttinger手术序列也不能从彼此获得。

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Inequivalent Lefschetz fibrations on rational and ruled surfaces

In this short note, we give an explicit construction of inequivalent Lefschetz pencils and fibrations of same genera on blow-ups of all rational and ruled surfaces. This complements our earlier results, concluding that every symplectic 4-manifold, after sufficiently many blow-ups, admits inequivalent Lefschetz pencils and fibrations, which cannot be obtained from one another even via any sequence of fibered Luttinger surgeries.

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来源期刊

Proceedings of Symposia in Pure Mathematics

CiteScore

0.60

自引率

0.00%

发文量