Finite extensions of mappings from a smooth variety

Marek Karaś

Displaying similar documents to “Finite extensions of mappings from a smooth variety”

Fragmented deformations of primitive multiple curves

Jean-Marc Drézet (2013)

Open Mathematics

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A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also...

On extremal mappings in complex ellipsoids

Armen Edigarian (1995)

Annales Polonici Mathematici

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Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.

On $π$ -metrizable spaces, their continuous images and products

Derrick Stover (2009)

Commentationes Mathematicae Universitatis Carolinae

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A space $X$ is said to be $π$ -metrizable if it has a $σ$ -discrete $π$ -base. The behavior of $π$ -metrizable spaces under certain types of mappings is studied. In particular we characterize strongly $d$ -separable spaces as those which are the image of a $π$ -metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a $π$ -metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a $π$ -metrizable topological group must be metrizable...

A Havel-Hakimi type procedure and a sufficient condition for a sequence to be potentially $S_{r, s}$ -graphic

Jian Hua Yin (2012)

Czechoslovak Mathematical Journal

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The split graph $K_{r} + \bar{K_{s}}$ on $r + s$ vertices is denoted by $S_{r, s}$ . A non-increasing sequence $π = (d_{1}, d_{2}, ..., d_{n})$ of nonnegative integers is said to be potentially $S_{r, s}$ -graphic if there exists a realization of $π$ containing $S_{r, s}$ as a subgraph. In this paper, we obtain a Havel-Hakimi type procedure and a simple sufficient condition for $π$ to be potentially $S_{r, s}$ -graphic. They are extensions of two theorems due to A. R. Rao (The clique number of a graph with given degree sequence, Graph Theory, Proc. Symp., Calcutta 1976, ISI Lect. Notes...

On the main invariant of an element over a local field.

Popescu, N., Zaharescu, A. (1997)

Portugaliae Mathematica

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The set of points at which a polynomial map is not proper

Zbigniew Jelonek (1993)

Annales Polonici Mathematici

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We describe the set of points over which a dominant polynomial map $f = (f_{1}, . . ., f_{n}) : ℂ^{n} \to ℂ^{n}$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $(\prod_{i = 1}^{n} d e g f_{i} - μ (f)) / (m i n_{i = 1, . . ., n} d e g f_{i})$ .

Canonical coordinates for coadjoint orbits of completely solvable groups.

Arnal, Didier, Ben Ammar, Mabrouk, Currey, Bradley N., Dali, Béchir (2005)

Journal of Lie Theory

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Uniformly convex functions II

Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses $f^{- 1} (w) = w + d ₂ w ² + d ₃ w ³ + . . .$ . The series expansion for $f^{- 1} (w)$ converges when $| w | < ϱ_{f}$ , where $0 < ϱ_{f}$ depends on f. The sharp bounds on $| a_{n} |$ and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on $| a_{n} |$ and all extremal functions for...