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pro vyhledávání: '"Saltman, David"'
Autor:
Saltman, David J
There are two outstanding questions about division algebras of prime degree $p$. The first is whether they are cyclic, or equivalently crossed products. The second is whether the center, $Z(F,p)$, of the generic division algebra $UD(F,p)$ is stably r
Externí odkaz:
http://arxiv.org/abs/2409.07240
Autor:
Saltman, David J.
The Artin-Schreier polynomial $Z^p - Z - a$ is very well known. Polynomials of this type describe all degree $p$ (cyclic) Galois extensions over any commutative ring of characteristic $p$. Equally attractive is the associated Galois action. If $\thet
Externí odkaz:
http://arxiv.org/abs/2212.03713
Autor:
Saltman, David J
In a talk at the Banff International Research Station in 2015 Asher Auel asked questions about genus one curves in Severi-Brauer varieties $SB(A)$. More specifically he asked about the smooth cubic curves in Severi-Brauer surfaces, that is in $SB(D)$
Externí odkaz:
http://arxiv.org/abs/2105.09986
Autor:
Saltman, David J
We present here a version of the Artin-Schreier polynomial that works in any characteristic. Let $C_p$ be the cyclic group of prime order $p$. Equivalently, we prove one can lift degree $p$ cyclic $C_p$ extensions over local rings $R,M$ where $R/M$ h
Externí odkaz:
http://arxiv.org/abs/2104.03433
Autor:
Saltman, David L., Varga, Matthew G., Nielsen, Tyler J., Croteau, Nicole S., Lockyer, Heather M., Jain, Amit L., Vidal, Gregory A., Hout, David R., Schweitzer, Brock L., Seitz, Robert S., Ross, Douglas T., Gandara, David R.
Publikováno v:
In Clinical Lung Cancer March 2023 24(2):137-144
For a maximal separable subfield $K$ of a central simple algebra $A$, we provide a semiring isomorphism between $K$-$K$-bimodules $A$ and $H$-$H$ bisets of $G = \Gal(L/F)$, where $F = \operatorname{Z}(A)$, $L$ is the Galois closure of $K/F$, and $H =
Externí odkaz:
http://arxiv.org/abs/1601.07570
Autor:
Saltman, David J
In this note we answer a question of Parimala's, showing that fields with finite $u$ invariant have bounds on the symbol lengths in their $\mu_2$ cohomology in all degrees.
Externí odkaz:
http://arxiv.org/abs/1111.6548
Autor:
Rowen, Louis, Saltman, David J
This paper began as an investigation of the question of whether $D_1 \otimes_F D_2$ is a domain where the $D_i$ are division algebras and $F$ is an algebraically closed field contained in their centers. We present an example where the answer is "no",
Externí odkaz:
http://arxiv.org/abs/1106.5517
Autor:
Rowen, Louis, Saltman, David J
A celebrated theorem of P.M.Cohn says that for any two division rings (not necessarily finite dimensional) over a field F, their amalgamated product over F is a domain which can be embedded in a division ring. Note that even with the two initial divi
Externí odkaz:
http://arxiv.org/abs/1009.1226
Autor:
Garibaldi, Skip, Saltman, David J.
Publikováno v:
pages 225-238 in the book "Quadratic forms, linear algebraic groups, and cohomology", Springer, 2010
G. Prasad and A. Rapinchuk asked if two quaternion division F -algebras that have the same subfields are necessarily isomorphic. The answer is known to be "no" for some very large fields. We prove that the answer is "yes" if F is an extension of a gl
Externí odkaz:
http://arxiv.org/abs/0906.5137