Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Ure, Charlotte"'
Rost and Voevodsky proved the Bloch-Kato conjecture relating Milnor $k$-theory and Galois cohomology. Their result implies that for a field $F$ containing a primitive $p$th root of unity, the Galois cohomology ring of $F$ with $\mathbb{F}_p$ coeffici
Externí odkaz:
http://arxiv.org/abs/2405.13223
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 such fields. We discuss applications to quadratic forms and related o
Externí odkaz:
http://arxiv.org/abs/2312.03934
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
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 Manin. We study homological and algebraic invariants of quantum-symmet
Externí odkaz:
http://arxiv.org/abs/2209.11621
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
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 Raedschelders and Van den Bergh. Moreover, we study the 2-cocycle twists
Externí odkaz:
http://arxiv.org/abs/2112.09098
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
Let $H$ be a Hopf algebra that is $\mathbb Z$-graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of $H$ to be a Zhang twist of $H$. In particular, we introduce the notion of a twisting pair for $H$ such that the Zhang twist
Externí odkaz:
http://arxiv.org/abs/2109.11585
Let $\ell$ be an odd prime, and let $K$ be a field of characteristic not $2,3,$ or $\ell$ containing a primitive $\ell$-th root of unity. For an elliptic curve $E$ over $K$, we consider the standard Galois representation $$\rho_{E,\ell}: \text{Gal}(\
Externí odkaz:
http://arxiv.org/abs/2107.10886
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
Publikováno v:
In Advances in Mathematics May 2024 445
Autor:
Kulkarni, Rajesh S., Ure, Charlotte
We give a moduli interpretation to the quotient of (nondegenerate) binary cubic forms with respect to the natural $\text{GL}_2$-action on the variables. In particular, we show that these $\text{GL}_2$ orbits are in bijection with pairs of $j$-invaria
Externí odkaz:
http://arxiv.org/abs/2103.16691
Autor:
Ure, Charlotte
We give an algorithm to explicitly determine all elements of the $q$-torsion (for $q$ an odd prime) of the Brauer group of an elliptic curve over any base field of characteristic different from $q$, containing a primitive $q$-th root of unity. These
Externí odkaz:
http://arxiv.org/abs/1909.05317
Autor:
Hongdi Huang, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Xingting Wang
Publikováno v:
Journal of Noncommutative Geometry; 2024, Vol. 18 Issue 4, p1453-1483, 31p