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We prove many new cases of the Inverse Galois Problem for those simple groups arising fromorthogonal groups over finite fields. For example, we show that the finite simple groups Ω2n+1(p) and P&...
Coverings over Tori and Topological Approach to Klein's Resolvent Problem
Tori and Topological Klein's Resolvent Problem Algebraic Geometry
2011/9/14
Abstract: This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension $k$. The answer to this question is then applied in algebro-ge...
On the effective membership problem on singular varieties
singular varieties membership Complex Variables
2011/8/23
Abstract: We present some extensions to singular varieties of effective membership results previously known in $\C^n$ or smooth varieties. In particular, we extend a geometric effective Nullstellensat...