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math.NT2026
A septic covariant and the Hermite--Joubert problem in degree seven
Sunil Chebolu, Ján Mináč, Behzad Nikzad +1
We prove the degree-seven case of the Hermite--Joubert problem in characteristic zero: if is a field of characteristic zero and is a field extension of degree seven, then…
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…