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Displaying similar documents to “Configurations of lines and general hyperplane sections.”

The growth of regular functions on algebraic sets

A. Strzeboński (1991)

Annales Polonici Mathematici

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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of n . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.

Transverse Hausdorff dimension of codim-1 C2-foliations

Takashi Inaba, Paweł Walczak (1996)

Fundamenta Mathematicae

Similarity:

The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.