A Positivstellensatz for projective real varieties
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Publication:2428556
DOI10.1007/s00229-011-0484-3zbMath1247.14061arXiv1104.1772OpenAlexW2087208242MaRDI QIDQ2428556
Publication date: 26 April 2012
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.1772
Sums of squares and representations by other particular quadratic forms (11E25) Real algebraic sets (14P05) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Real algebra (13J30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Weighted sums of squares in local rings and their completions. I
- The \(K\)-moment problem for compact semi-algebraic sets
- Uniform denominators in Hilbert's seventeenth problem
- Sums of squares on real algebraic surfaces
- On real generalized Jacobian varieties
- On sums of squares in local rings
- The ring of bounded polynomials on a semi-algebraic set
- Divisors on real curves
- Sums of squares of regular functions on real algebraic varieties
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