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We give a simple proof of almost properness of any extremal mapping in the sense of Lempert function or in the sense of Kobayashi-Royden pseudometric.

Alpha-invariant of toric line bundles

Thibaut Delcroix (2015)

Annales Polonici Mathematici

We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.

Ambient Deformations for Exceptional Sets in Two-Manifolds.

Henry B. Laufer (1979)

Inventiones mathematicae

Amenable coverings of complex manifolds and holomorphic probalitiy measures.

Curt McMullen (1992)

Inventiones mathematicae

Amibes de variétés algébriques et dénombrement de courbes

Ilia Itenberg (2002/2003)

Séminaire Bourbaki

Les amibesdes variétés algébriques dans ${(ℂ^{*})}^{n}$ sont les images de ces variétés par l’application des moments $Log : {(ℂ^{*})}^{n} \to ℝ^{n}$ , $Log : (z_{1}, ..., z_{n}) \mapsto (log | z_{1} |, ..., log | z_{n} |)$ . Des résultats obtenus par G. Mikhalkin montrent l’utilité des amibes pour l’étude des variétés algébriques réelles et complexes. Les amibes peuvent être déformées en des complexes polyédraux appelésvariétés algébriques tropicales. Cette déformation permet, en particulier, de calculer les invariants de Gromov-Witten du plan projectif et d’autres surfaces toriques en dénombrant des courbes...

An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity

H.-Ch. Graf von Bothmer, Wolfgang Ebeling, Xavier Gómez-Mont (2008)

Annales de l’institut Fourier

Let $(V, 0)$ be a germ of a complete intersection variety in $ℂ^{n + k}$ , $n > 0$ , having an isolated singularity at $0$ and $X$ be the germ of a holomorphic vector field having an isolated zero at $0$ and tangent to $V$ . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of $X$ is also isolated in the ambient space $ℂ^{n + k}$ we give a formula for the homological index in terms of local linear algebra.

An algorithm for finding the Veech group of an origami.

Schmithüsen, Gabriela (2004)

Experimental Mathematics

An analog of the Fefferman construction

Florian Wisser (2006)

Archivum Mathematicum

The Fefferman construction associates to a manifold carrying a CR–structure a conformal structure on a sphere bundle over the manifold. There are some analogs to this construction, with one giving a Lie contact structure, a refinement of the contact bundle on the bundle of rays in the cotangent bundle of a manifold with a conformal metric. Since these structures are parabolic geometries, these constructions can be dealt with in this setting.

An analog of the Fubini-Studi form for two-dimensional toric varieties.

Kytmanov, A.A. (2003)

Sibirskij Matematicheskij Zhurnal

An analogue of convexity for complements of amoebas of varieties of higher codimension, an answer to a question asked by B. Sturmfels.

Henriques, André (2004)

Advances in Geometry

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Displaying 381 – 400 of 5576

All knots are algebraic.

All Plane Domains are Banach-Stein.

All Two-Gnerator Fuchsian Group.

Almost Analytic Local Algebraicity of Analytic Sets and Functions.

Almost complex principal fiber bundles and the complex structure on Teichmüller space.

Almost complex toric manifolds and positive line bundles

Almost Properness of Extremal Mappings