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Study of etale and Nori fundamental groups of varieties over a field of positive characteristic.

Implementing Organization

Principal Investigator
Dr. Manish Kumar
Indian Statistical Institute Bangalore, Karnataka
manish@isibang.ac.in
CO-Principal Investigator
Nil

Project Overview

We wish to study properties and structure of algebraic fundamental groups of varieties over field of positive characteristic. This includes the etale and the Nori fundamental group. For instance we wish to study embedding problems for the etale fundamental group for smooth curves. We also wish to study various properties of Nori fundamental group. For instance Lefschetz hyperplane type theorem for quasi-projective varieties for both Nori and etale fundamental groups.
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Focus Area
14 Algebraic Geometry
Start Date
12 Sep 2024
End Date
11 Sep 2027
Status
ongoing
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
01
No. of Patents
Filed : 00
Grant : 00
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