What type of study is this?

This is a Quantitative Study study.

October 10, 2025Open Access

On Milnor K-theory in the imperfect residue case and applications to period-index problems

View Full Paper

Ask AI

Bookmark

Authors

This analysis demonstrates pseudo-perfect extensions affecting brauer classes in mixed characteristic fields, suggesting deeper structural insights.

Pseudo-perfect extensions lead to trivial restriction maps on mod-p Milnor K-groups, revealing significant structures in cohomology.
The Brauer p-dimension of any complete regular field is constrained by the p-rank of the residue field, providing essential bounds.
Using Harbater and others' patching techniques, the bounds on Brauer p-dimension for semi-global fields show a marked improvement.
Previous conjectures, such as those by Bhaskhar-Haase, are confirmed through the results, demonstrating enhanced understanding.

S. Srimathy (2025) studied this question.

View Full Paper

Ask AI

Bookmark

This analysis demonstrates pseudo-perfect extensions affecting brauer classes in mixed characteristic fields, suggesting deeper structural insights.