The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

Published 29 Oct 2016 in math.AG | (1610.09548v1)

Abstract: We prove that a differential field K is algebraically closed and Picard-Vessiot closed if and only if the differential Galois cohomology group H^{1_\partial(K,G)} is trivial for any linear differential algebraic group G over K. We give an application to the parameterized Picard-Vessiot theory.

Abstract PDF Upgrade to Chat

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Create Your Own

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (1)

Anand Pillay

Collections

Sign up for free to add this paper to one or more collections.