Positivity in power series rings

Details Positivity in power series rings Positivity in power series rings

2008-07-31

arxiv.org/abs/0807.4996v1

Mathematics

Algebraic Geometry

10 pages, 1 figure

Scientific paper

We extend and generalize the results of Scheiderer (2006) on the representation of polynomials nonnegative on two-dimensional basic closed semialgebraic sets. Our extension covers some situations where the defining polynomials do not satisfy the transversality condition. Such situations arise naturally when one considers semialgebraic sets invariant under finite group actions.

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