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Alexandru Buium, Ken Zimmerman

Differential orbit spaces of discrete dynamical systems

Regular self maps of algebraic varieties do not admit, in general, regular functions as semi-invariants. In this paper we show that if one replaces regular functions by ?-functions (in the sense of [3]) then one can get non-trivial semi-invariants (and one can often compute all of them) for a remarkable class of regular self maps of the projective line.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 03/2005
Pages: 201 - 230

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