Bertini Type Results and Their Applications: Bertini Type Results and Their Applications: I. Biswas et al.

Article Type

Research Article

Publication Title

Acta Mathematica Vietnamica

Abstract

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 ℓ–adic sheaves on the variety with “ramification bounded by a branch data” remains irreducible when restricted to the curve.

First Page

649

Last Page

665

DOI

10.1007/s40306-024-00542-8

Publication Date

12-1-2024

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