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5 papers
Nash uniformization of chessboard sets by Nash manifolds with corners
Antonio Carbone, José F. Fernando, José F. Fernando
Bierstone and Parusiński studied the desingularization of -dimensional closed subanalytic sets and in particular of -dimensional closed semialgebraic sets. Their main tools a…
Spectral Spaces in o-minimal and other NIP theories
ElÃas Baro, José F. Fernando, Daniel PalacÃn
We study some model-theoretic notions in NIP by means of spectral topology. In the o-minimal setting we relate the o-minimal spectrum with other topological spaces such as the real…
On polynomial images of a closed ball
José F. Fernando, Carlos Ueno
In this work we approach the problem of determining which (compact) semialgebraic subsets of are images under polynomial maps of t…
Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings
José F. Fernando
A classical problem in real geometry concerns the representation of positive semidefinite elements of a ring as sums of squares of elements of . If is an excellent ring…
Positive semidefinite analytic functions on real analytic surfaces
José F. Fernando
Let be a (global) real analytic surface. Then every positive semidefinite meromorphic function on is a sum of squares of meromorphic functions on $…