3 papers
math.NT2024
The Bloch--Kato conjecture, decomposing fields, and generating cohomology in degree one
Sunil K. Chebolu, Ján Mináč, Cihan Okay +2
The famous Bloch--Kato conjecture implies that for a field containing a primitive th root of unity, the cohomology ring of the absolute Galois group of with $\math…
math.NT2023
Period-index in top cohomology over semiglobal fields
Sarah Dijols, Raman Parimala, Ramdorai Sujatha +1
We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over…
math.AG2021
A moduli interpretation of untwisted binary cubic forms
Rajesh S. Kulkarni, Charlotte Ure
We give a moduli interpretation to the quotient of (nondegenerate) binary cubic forms with respect to the natural -action on the variables. In particular, we show that…