Quasihomogeneous $(C^*)^k \times SL_2(C)$-varieties containing a finite number of orbits

Details Quasihomogeneous $(C^*)^k \times SL_2(C)$-varieties containing a finite number of orbits Quasihomogeneous $(C^*)^k \times SL_2(C)$-varieties containing a finite number of orbits

2006-10-05

arxiv.org/abs/math/0610169v1

Mathematics

Representation Theory

8 pages with 1 figure

Scientific paper

Let $G:= (C^*)^k\times SL_2(C)$ act linearly on a vector space or its
projectivisation. We obtain an effective criterion to detect whether a number
of orbits in an orbit-closure is finite or not.

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