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After an initial discussion at the Committee of Mathematics Polish Academy of Sciences (CM PAS) meeting in February 2013 concerning the status of Applied Mathematics in Poland, I had a feeling of confusion and dissatisfaction, because it seemed to me, both to define the concepts mentioned by the panelists, like, the more standing problems, there was not sufficiently clear. Taking now the voice I have...
The aim of this paper is to extend the results of [BB-Ś2] concerning geometric quotients of actions of SL(2) to the case of good quotients. Thus the results of the present paper can be applied to any action of SL(2) on a complete smooth algebraic variety, while the theorems proved in [BB-Ś2] concerned only special situations.
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