Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques

Teddy Mignot

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Displaying similar documents to “Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques”

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Estimates of the number of rational mappings from a fixed variety to varieties of general type

Tanya Bandman, Gerd Dethloff (1997)

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First we find effective bounds for the number of dominant rational maps $f : X \to Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type ${A \cdot K_{X}^{n}}^{{B \cdot K_{X}^{n}}^{2}}$ , where $n = \dim X$ , $K_{X}$ is the canonical bundle of $X$ and $A, B$ are some constants, depending only on $n$ . Then we show that for any variety $X$ there exist numbers $c (X)$ and $C (X)$ with the following properties: For any threefold $Y$ of general type the number of dominant rational maps $f : X \to Y$ is bounded above by $c (X)$ . ...

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This paper is concerned with the problem of extension of separately holomorphic mappings defined on a "generalized cross" of a product of complex analytic spaces with values in a complex analytic space. The crosses considered here are inscribed in Borel rectangles (of a product of two complex analytic spaces) which are not necessarily open but are non-pluripolar and can be quite small from the topological point of view. Our first main result says that...

Spaces of type $H^{\infty} + C$

Walter Rudin (1975)

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A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that $H^{\infty} + C$ is a closed subalgebra of $L^{\infty}$ . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.

Des propriétés de finitude des foncteurs polynomiaux

Aurélien Djament (2016)

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We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors (notion introduced by Djament and Vespa) from a small symmetric monoidal category whose unit is an initial object to an abelian category. We prove in particular that the category of polynomial functors from the category of free abelian groups ℤⁿ with split monomorphisms to abelian groups is "almost" locally noetherian. We...

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András Vasy (2004-2005)

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In this talk we describe the propagation of $𝒞^{\infty}$ and Sobolev singularities for the wave equation on $𝒞^{\infty}$ manifolds with corners $M$ equipped with a Riemannian metric $g$ . That is, for $X = M \times ℝ_{t}$ , $P = D_{t}^{2} - Δ_{M}$ , and $u \in H_{loc}^{1} (X)$ solving $P u = 0$ with homogeneous Dirichlet or Neumann boundary conditions, we show that ${WF}_{b} (u)$ is a union of maximally extended generalized broken bicharacteristics. This result is a $𝒞^{\infty}$ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified...

Short Summaries

Simone Chevet, W. Wojtyński, C. Bessaga, C. McCarthy, D. Przeworska-Rolewicz, N. Tomczak, W. Mlak, A. Persson, U. Schlotterbeck, J. Schmets, Yu. Vladimirskiĭ, W. Szlenk, Christian Fenske, Eberhard Schock, N. Kalton, Leonard Gross, G. Köthe, M. Zerner, T. Pytlik, Dimiter Skordev, N. Peck, M. de Wilde, W. Szczyrba, G. Neubauer, N. Aronszajn, G. Dennler, Ivan Dobrakov, M. Jonac, C. Samuel, Y. Kōmura, M. Dragilev, E. Semenov, Nicolae Popa, Sivliu Teleman (1970)

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