1 citations · 2 across the 7 of their papers we have counts for
10 papers
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…
Twisting Manin's universal quantum groups and comodule algebras
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
We introduce the notion of quantum-symmetric equivalence of two connected graded algebras, based on Morita-Takeuchi equivalences of their universal quantum groups, in the sense of…
A cogroupoid associated to preregular forms
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Ra…
Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
Let be a Hopf algebra that is -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of to be a Zhang twist of . In particular, we intr…
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…
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…
Prime Torsion in the Brauer Group of an Elliptic Curve
Charlotte Ure
We give an algorithm to explicitly determine all elements of the -torsion (for an odd prime) of the Brauer group of an elliptic curve over any base field of characteristic d…
Tensor Products of Cyclic Algebras of Degree 4 and their Kummer Subspaces
Adam Chapman, Charlotte Ure
We prove that the maximal dimension of a Kummer space in the generic tensor product of cyclic algebras of degree 4 is .