Search Results - "Fernando, Jose F"
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A short proof for the open quadrant problem
Published in Journal of symbolic computation (01-03-2017)“…In 2003 it was proved that the open quadrant Q:={x>0,y>0} of R2 is a polynomial image of R2. This result was the origin of an ulterior more systematic study of…”
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Construction and analysis of a human testis/sperm-enriched interaction network: Unraveling the PPP1CC2 interactome
Published in Biochimica et biophysica acta. General subjects (01-02-2017)“…Phosphoprotein phosphatase 1 catalytic subunit gamma 2 (PPP1CC2), a PPP1CC tissue-specific alternative splice restricted to testicular germ cells and…”
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Amyloid precursor protein interaction network in human testis: sentinel proteins for male reproduction
Published in BMC bioinformatics (16-01-2015)“…Amyloid precursor protein (APP) is widely recognized for playing a central role in Alzheimer's disease pathogenesis. Although APP is expressed in several…”
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Surjective Nash maps between semialgebraic sets
Published in Advances in mathematics (New York. 1965) (01-02-2024)“…In this work we study the existence of surjective Nash maps between two given semialgebraic sets S and T. Some key ingredients are: the irreducible components…”
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Positive Semidefinite Analytic Functions on Real Analytic Surfaces
Published in The Journal of geometric analysis (01-12-2021)“…Let X ⊂ R n be a (global) real analytic surface. Then every positive semidefinite meromorphic function on X is a sum of 10 squares of meromorphic functions on…”
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On the irreducible components of globally defined semianalytic sets
Published in Mathematische Zeitschrift (01-08-2016)“…In this work we present the concept of amenable C - semianalytic subset of a real analytic manifold M and study the main properties of this type of sets…”
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On the size of the fibers of spectral maps induced by semialgebraic embeddings
Published in Mathematische Nachrichten (01-10-2016)“…Let S(M) be the ring of (continuous) semialgebraic functions on a semialgebraic set M and S*(M) its subring of bounded semialgebraic functions. In this work we…”
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Rings of differentiable semialgebraic functions
Published in Selecta mathematica (Basel, Switzerland) (01-09-2024)“…In this work we analyze the main properties of the Zariski and maximal spectra of the ring S r ( M ) of differentiable semialgebraic functions of class C r on…”
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Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-04-2022)“…A classical problem in real geometry concerns the representation of positive semidefinite elements of a ring A as sums of squares of elements of A . If A is an…”
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Spectral maps associated to semialgebraic branched coverings
Published in Revista matemática complutense (2022)“…In this article we prove that a semialgebraic map π : M → N is a branched covering if and only if its associated spectral map is a branched covering. In…”
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On the set of local extrema of a subanalytic function
Published in Collectanea mathematica (Barcelona) (2020)“…Let F be a category of subanalytic subsets of real analytic manifolds that is closed under basic set-theoretical operations (locally finite unions, difference…”
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Differentiable approximation of continuous semialgebraic maps
Published in Selecta mathematica (Basel, Switzerland) (01-08-2019)“…In this work we approach the problem of approximating uniformly continuous semialgebraic maps f : S → T from a compact semialgebraic set S to an arbitrary…”
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Approximation on Nash sets with monomial singularities
Published in Advances in mathematics (New York. 1965) (10-09-2014)“…This paper is devoted to the approximation of differentiable semialgebraic functions by Nash functions. Approximation by Nash functions is known for…”
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On the Set of Points at Infinity of a Polynomial Image of
Published in Discrete & computational geometry (01-12-2014)“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).In this work we prove that the set of points at infinity ... of a semialgebraic set…”
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Normalization of Complex Analytic Spaces from a Global Viewpoint
Published in The Journal of geometric analysis (15-07-2019)“…In this work, we study some algebraic and topological properties of the ring of global analytic functions on the normalization of a reduced complex analytic…”
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On globally defined semianalytic sets
Published in Mathematische annalen (01-10-2016)“…In this work we present the concept of C-semianalytic subset of a real analytic manifold and more generally of a real analytic space. C -semianalytic sets can…”
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On the Nullstellensätze for Stein spaces and C-analytic sets
Published in Transactions of the American Mathematical Society (01-06-2016)“…In this work we prove the real Nullstellensatz for the ring 𝒪(X) of analytic functions on a C-analytic set X ⊂ ℝ n in terms of the saturation of Łojasiewicz's…”
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Moral Hazard, Risk Sharing, and the Optimal Pool Size
Published in The Journal of risk and insurance (01-06-2019)“…We examine the optimal size of risk pools with moral hazard. In risk pools, the effective share of the own loss borne is the sum of the direct share (the…”
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ON CHAINS OF PRIME IDEALS IN RINGS OF SEMIALGEBRAIC FUNCTIONS
Published in Quarterly journal of mathematics (01-09-2014)Get full text
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ON THE SEMIALGEBRAIC STONE-ČECH COMPACTIFICATION OF A SEMIALGEBRAIC SET
Published in Transactions of the American Mathematical Society (01-07-2012)“…In the same vein as the classical Stone-Cech compactification, we prove in this work that the maximal spectra of the rings of semialgebraic and bounded…”
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