English

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

Representation Theory 2007-05-23 v1

Abstract

Let G:=(C)k×SL2(C)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.

Keywords

Cite

@article{arxiv.math/0610169,
  title  = {Quasihomogeneous $(C^*)^k \times SL_2(C)$-varieties containing a finite number of orbits},
  author = {E. V. Sharoyko},
  journal= {arXiv preprint arXiv:math/0610169},
  year   = {2007}
}

Comments

8 pages with 1 figure