Abhyankar-Moh property and unique affine embeddings.

Gurycz, Jerzy

Displaying similar documents to “Abhyankar-Moh property and unique affine embeddings.”

Singularities of affine Schubert varieties.

Kuttler, Jochen, Lakshmibai, Venkatramani (2009)

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On spinor varieties and their secants.

Manivel, Laurent (2009)

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Proof of the Knop conjecture

Ivan V. Losev (2009)

Annales de l’institut Fourier

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In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.

A class of discriminant varieties in the conformal 3-sphere.

Baird, Paul, Gallardo, Luis (2002)

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Indefinite affine hyperspheres admitting a pointwise symmetry. I.

Scharlach, Christine (2007)

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Local characterization of algebraic manifolds and characterization of components of the set $S_{f}$

Zbigniew Jelonek (2000)

Annales Polonici Mathematici

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We show that every n-dimensional smooth algebraic variety X can be covered by Zariski open subsets $U_{i}$ which are isomorphic to closed smooth hypersurfaces in $ℂ^{n + 1}$ . As an application we show that forevery (pure) n-1-dimensional ℂ-uniruled variety $X \subset ℂ^{m}$ there is a generically-finite (even quasi-finite) polynomial mapping $f : ℂ^{n} \to ℂ^{m}$ such that $X \subset S_{f}$ . This gives (together with [3]) a full characterization of irreducible components of the set $S_{f}$ for generically-finite polynomial mappings $f : ℂ^{n} \to ℂ^{m}$ .

On the secant varieties to the osculating variety of a Veronese surface

E. Ballico, C. Fontanari (2003)

Open Mathematics

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In this paper we study the k-th osculating variety of the order d Veronese embedding of P n. In particular, for k=n=2 we show that the corresponding secant varieties have the expected dimension except in one case.

Abelian varieties, surfaces of general type and integrable systems.

Lesfari, A. (2007)

Beiträge zur Algebra und Geometrie

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Multigraded factorial rings and Fano varieties with torus action.

Hausen, Jürgen, Herppich, Elaine, Süss, Hendrik (2011)

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General algebraic geometry and formal concept analysis.

Becker, T. (1999)

Acta Mathematica Universitatis Comenianae. New Series

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Reg $_{G}$ -strongly solid varieties of commutative semigroups

Sarawut Phuapong, Sorasak Leeratanavalee (2011)

Matematički Vesnik

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