Blowing up in rigid analytic geometry.
Schoutens, Hans (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Schoutens, Hans (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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F. Acquistapace, F. Broglia, A. Tognoli (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ewa Cygan (1998)
Annales Polonici Mathematici
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We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.
Khelifi, Abdessatar (2007)
Applied Mathematics E-Notes [electronic only]
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Edward Bierstone, Pierre D. Milman (1988)
Publications Mathématiques de l'IHÉS
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R. Achilles, P. Tworzewski, T. Winiarski (1990)
Annales Polonici Mathematici
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Joseph Gubeladze (2000)
Annales Polonici Mathematici
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Existence of loops for non-injective regular analytic transformations of the real plane is shown. As an application, a criterion for injectivity of a regular analytic transformation of in terms of the Jacobian and the first and second order partial derivatives is obtained. This criterion is new even in the special case of polynomial transformations.
Ilie Barza, Dorin Ghisa (2004)
Mathematica Bohemica
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This paper is an introduction to dynamics of dianalytic self-maps of nonorientable Klein surfaces. The main theorem asserts that dianalytic dynamics on Klein surfaces can be canonically reduced to dynamics of some classes of analytic self-maps on their orientable double covers. A complete list of those maps is given in the case where the respective Klein surfaces are the real projective plane, the pointed real projective plane and the Klein bottle.