Displaying similar documents to “Separation, factorization and finite sheaves on Nash manifolds”

Global problems on Nash functions.

Michel Coste, Jesús M. Ruiz, Masahiro Shiota (2004)

Revista Matemática Complutense

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This is a survey on the history of and the solutions to the basic global problems on Nash functions, which have been only recently solved, namely: separation, extension, global equations, Artin-Mazur description and idempotency, also noetherianness. We discuss all of them in the various possible contexts, from manifolds over the reals to real spectra of arbitrary commutative rings.

Sheaves of semiprime ideals

S. B. Niefield, K. I. Rosenthal (1990)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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On global Nash functions

Jesús M. Ruiz, Masahiro Shiota (1994)

Annales scientifiques de l'École Normale Supérieure

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Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization

Caroline Grant Melles, Pierre Milman (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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We construct complete Kähler metrics on the nonsingular set of a subvariety X of a compact Kähler manifold. To that end, we develop (i) a constructive method for replacing a sequence of blow-ups along smooth centers, with a single blow-up along a product of coherent ideals corresponding to the centers and (ii) an explicit local formula for a Chern form associated to this ‘singular’ blow-up. Our metrics have a particularly simple local formula of a sum of the original metric and of the...