1. CJM Online first
|Strongly incompressible curves|
Let $G$ be a finite group. A faithful $G$-variety $X$ is called strongly incompressible if every dominant $G$-equivariant rational map of $X$ onto another faithful $G$-variety $Y$ is birational. We settle the problem of existence of strongly incompressible $G$-curves for any finite group $G$ and any base field $k$ of characteristic zero.
Keywords:algebraic curves, group actions, Galois cohomology
Categories:14L30, 14E07, 14H37
2. CJM 2008 (vol 60 pp. 1387)
|On $n$-Dimensional Steinberg Symbols |
The aim of this work is to provide a new approach for constructing $n$-dimensional Steinberg symbols on discrete valuation fields from $(n+1)$-cocycles and to study reciprocity laws on curves related to these symbols.
Keywords:Steinberg symbols, reciprocity laws, discrete valuation field, algebraic curves
Categories:19F15, 19D45, 19C09