贝尔蒂尼式结果及其应用

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-07-17 DOI:10.1007/s40306-024-00542-8

Indranil Biswas, Manish Kumar, A. J. Parameswaran

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引用次数: 0

摘要

证明了Bertini型定理，并给出了它们的一些应用。在Lefschetz定理的背景下应用于Nori基本群的正规变异体和几何形式轨道。在另一个应用中，证明了一类光滑拟射影簇包含一条光滑曲线，使得“分支以分支数据为界”的簇上的不可约lisse \(\ell \) -矢束在被限制于该曲线时仍然不可约。

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Bertini Type Results and Their Applications

We prove Bertini type theorems and give some applications of them. The applications are in the context of Lefschetz theorem for Nori fundamental group for normal varieties as well as for geometric formal orbifolds. In another application, it is shown that a certain class of a smooth quasi-projective variety contains a smooth curve such that irreducible lisse \(\ell \)–adic sheaves on the variety with “ramification bounded by a branch data” remains irreducible when restricted to the curve.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.