Search Results - "Fernando, José F."
-
1
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…”
Get full text
Journal Article -
2
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…”
Get full text
Journal Article -
3
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…”
Get full text
Journal Article -
4
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…”
Get full text
Journal Article -
5
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…”
Get full text
Journal Article -
6
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…”
Get full text
Journal Article -
7
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…”
Get full text
Journal Article -
8
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…”
Get full text
Journal Article -
9
On regulous and regular images of Euclidean spaces
Published in Quarterly journal of mathematics (01-06-2018)Get full text
Journal Article -
10
Complements of Unbounded Convex Polyhedra as Polynomial Images of $${{\mathbb {R}}}^n$$ R n
Published in Discrete & computational geometry (01-09-2019)Get full text
Journal Article -
11
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…”
Get full text
Journal Article -
12
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…”
Get full text
Journal Article -
13
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…”
Get full text
Journal Article -
14
On the Set of Points at Infinity of a Polynomial Image of $${\mathbb R}^n$$ R n
Published in Discrete & computational geometry (01-12-2014)Get full text
Journal Article -
15
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…”
Get full text
Journal Article -
16
On Complements of Convex Polyhedra as Polynomial and Regular Images of ℝn
Published in International mathematics research notices (01-01-2014)Get full text
Journal Article -
17
Sums of squares in real rings
Published in Transactions of the American Mathematical Society (01-07-2004)“…Let A be an excellent ring. We show that if the real dimension of A is at least three then A has infinite Pythagoras number, and there exists a positive…”
Get full text
Journal Article -
18
Sums of squares in real analytic rings
Published in Transactions of the American Mathematical Society (01-05-2002)“…Let A be an analytic ring. We show: (1) A has finite Pythagoras number if and only if its real dimension is \leq 2, and (2) if every positive semidefinite…”
Get full text
Journal Article -
19
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…”
Get full text
Journal Article -
20
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…”
Get full text
Journal Article