skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Khare, Chandreshekhar"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, Comptes rendus)
    null (Ed.)
    Let $$A_1$$ and $$A_2$$ be abelian varieties over a number field $$K$$. We prove that if there exists a non-trivial morphism of abelian varieties between reductions of $$A_1$$ and $$A_2$$ at a sufficiently high percentage of primes, then there exists a non-trivial morphism $$A_1\to A_2$$ over $$\bar K$$. Along the way, we give an upper bound for the number of components of a reductive subgroup of $$GL_n$$ whose intersection with the union of $$Q$$-rational conjugacy classes of $$GL_n$$ is Zariski-dense. This can be regarded as a generalization of the Minkowski-Schur theorem on faithful representations of finite groups with rational characters. 
    more » « less
    Full Text Available