Corpus ID: 50155851

Quillen property for real algebraic varieties

@inproceedings{Putinar2013QuillenPF,
  title={Quillen property for real algebraic varieties},
  author={M. Putinar and Claus Scheiderer},
  year={2013}
}

M. Putinar, Claus Scheiderer

Published 2013

Mathematics, Computer Science

Let I be a conjugation-invariant ideal in the complex polynomial ring with variables z_1,...,z_n and their conjugates. The ideal I has the Quillen property if every real valued, strictly positive polynomial on the real zero set of I in C^n is a sum of hermitian squares modulo I. We first relate the Quillen property to the archimedean property from real algebra. Using hereditary calculus, we then quantize and show that the Quillen property implies the subnormality of commuting tuples of Hilbert… CONTINUE READING

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