most citedPure states, nonnegative polynomials and sums of squares

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math.AG2011★ 3 cited

A Positivstellensatz for projective real varieties

Claus Scheiderer

Given two positive definite forms f, g in R[x_0,...,x_n], we prove that fg^N is a sum of squares of forms for all sufficiently large N >= 0. We generalize this result to projective…

math.AG1998

Grothendieck's theorem on non-abelian H^2 and local-global principles

Yuval Z. Flicker, Claus Scheiderer, R. Sujatha

A theorem of Grothendieck asserts that over a perfect field k of cohomological dimension one, all non-abelian H^2-cohomology sets of algebraic groups are trivial. The purpose of th…