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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…
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…
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…
Symbol Length in Brauer Groups of Elliptic Curves
Mateo Attanasio, Caroline Choi, Andrei Mandelshtam +1
Let be an odd prime, and let be a field of characteristic not or containing a primitive -th root of unity. For an elliptic curve over , we con…