On analytic sets and functions with given isolated singularities.
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Displaying 1 – 10 of 10
On hypersurface singularities which are stems
Ruud Pellikaan (1989)
Compositio Mathematica
On improper isolated intersection in complex analytic geometry
R. Achilles, P. Tworzewski, T. Winiarski (1990)
Annales Polonici Mathematici
On microlocal -function
Morihiko Saito (1994)
Bulletin de la Société Mathématique de France
On simple germs with non-isolated singularities.
A. Zaharia (1991)
Mathematica Scandinavica
On the division of functions of class by real analytic functions
Zbigniew Szafraniec (1985)
Bulletin de la Société Mathématique de France
On the finiteness of Pythagoras numbers of real meromorphic functions
Francesca Acquistapace, Fabrizio Broglia, José F. Fernando, Jesús M. Ruiz (2010)
Bulletin de la Société Mathématique de France
We consider the 17th Hilbert Problem for global real analytic functions in a modified form that involves infinite sums of squares. Then we prove a local-global principle for a real global analytic function to be a sum of squares of global real meromorphic functions. We deduce that an affirmative solution to the 17th Hilbert Problem for global real analytic functions implies the finiteness of the Pythagoras number of the field of global real meromorphic functions, hence that of the field of real...
On the index of contact
M. Montserrat Alonso Ferrero (2004)
Annales Polonici Mathematici
We use the construction of the intersection product of two algebraic cones to prove that the multiplicity of contact of the cones at the vertex is equal to the product of their degrees. We give an example to show that in order to calculate the index of contact it is not sufficient to perform the analytic intersection algorithm with hyperplanes.
On the vanishing of local homotopy groups for isolated singularities of complex spaces.
Helmut A. Hamm (1981)
Journal für die reine und angewandte Mathematik
Opérateurs différentiels sur les espaces analytiques.
Jean-Pierre Vigué (1973)
Inventiones mathematicae
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