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pro vyhledávání: '"Brussel, Eric"'
We prove that Dyck's Surface, which is the connected sum of three projective planes, is a fine moduli stack of possibly-degenerate similarity classes of triangles, where degeneracy is defined broadly to be compatible with the metric closures of known
Externí odkaz:
http://arxiv.org/abs/2408.07792
Autor:
Brussel, Eric, Goertz, Madeleine E.
We prove the 2-torus $\mathbb T$, an abelian linear algebraic group, occurs as a compactification of the moduli space of labeled, oriented, similarity classes of triangles. A (possibly degenerate) triangle is {\it inscribable} if it can be inscribed
Externí odkaz:
http://arxiv.org/abs/2303.11446
Autor:
Brussel, Eric
We generalize the Hasse invariant of local class field theory to the tame Brauer group of a higher dimensional local field, and use it to study the arithmetic of central simple algebras over such fields, which are given {\it a priori} as tensor produ
Externí odkaz:
http://arxiv.org/abs/2104.01692
Autor:
Brussel, Eric
Let $K$ be a complete discretely valued field of rank one, with residue field $\Q_p$. It is well known that period equals index in $\Br(K)$. We prove that when $p=2$ there exist noncyclic $K$-division algebras of every $2$-power degree divisible by f
Externí odkaz:
http://arxiv.org/abs/1903.09063
Autor:
Brussel, Eric
We reprove two results of Saltman, Theorem 5.1 and Corollary 5.2 of [Sa07]: If F is the function field of a smooth p-adic curve and D is an F-division algebra of prime degree l\neq p, then D is Z/l-cyclic, and that if D is an F-division algebra of pr
Externí odkaz:
http://arxiv.org/abs/1402.0896
Let $F$ be the function field of a smooth curve over the $p$-adic number field $\Q_p$. We show that for each prime-to-$p$ number $n$ the $n$-torsion subgroup $\H^2(F,\mu_n)={}_n\Br(F)$ is generated by $\Z/n$-cyclic classes; in fact the $\Z/n$-length
Externí odkaz:
http://arxiv.org/abs/1307.3345
Autor:
Brussel, Eric, Tengan, Eduardo
We prove the existence of noncrossed product and indecomposable division algebras over the function field of a smooth p-adic curve, especially when the curve does not admit a smooth model over Z_p. Thus we generalize arXiv 0907.0670. To make our cons
Externí odkaz:
http://arxiv.org/abs/1104.0439
Publikováno v:
Transformation Groups, vol. 16 #1 (2011), 219-264
We provide a survey of past research and a list of open problems regarding central simple algebras and the Brauer group over a field, intended both for experts and for beginners.
Comment: v2 has some small revisions to the text. Some items are r
Comment: v2 has some small revisions to the text. Some items are r
Externí odkaz:
http://arxiv.org/abs/1006.3304
Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves
We construct indecomposable and noncrossed product division algebras over function fields of smooth curves X over Z_p. This is done by defining an index preserving morphism s:Br(\hat K(X))' -> Br(K(X))' which splits res:Br(K(X)) -> Br(\hat K(X)), whe
Externí odkaz:
http://arxiv.org/abs/0907.0670