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tion commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit conte-nir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques In this paper, we study algebraicity for mappings between algebraic hypersurfaces. Our main(More)
1 0 Introduction This paper studies the analytic structure of the local hull of holomorphy of a 2-dimensional, real analytic manifold that is embedded in C 2. Our specific purpose is to solve a problem of Jurgen Moser (see [MOS], [MOW]). [In the statement of this problem we shall use certain standard terminology from the literature that will be defined(More)
In this paper, we are concerned with a rigidity problem for holomorphic maps between balls in complex spaces of different dimensions. Write B n and B N for the unit balls in C n and C N , respectively. Let F be a proper holomorphic map from B n into B N. We say that F is κ-linear if for any point p ∈ B n , there is an affine complex subspace S κ p , that(More)
Let M ⊂ C n+1 (n ≥ 2) be a real analytic submanifold defined by an equation of the form: w = |z| 2 + O(|z| 3), where we use (z, w) ∈ C n × C for the coordinates of C n+1. We first derive a pseudonormal form for M near 0. We then use it to prove that (M, 0) is holomorphically equivalent to the quadric (M ∞ : w = |z| 2 , 0) if and only if it can be formally(More)
We consider local CR-immersions of a strictly pseudoconvex real hypersur-face M ⊂ C n+1 , near a point p ∈ M , into the unit sphere S ⊂ C n+d+1 with d > 0. Our main result is that if there is such an immersion f : (M, p) → S and d < n/2, then f is rigid in the sense that any other immersion of (M, p) into S is of the form φ • f , where φ is a biholomorphic(More)
In an important development of several complex variables, Poincaré [26] discovered that any biholomorphic map between two open pieces of the unit sphere in C 2 is the restriction of a certain automorphism of B 2 , the unit two-ball in C 2. This phenomenon fails obviously in one complex variable and reveals a strong rigidity property of holo-morphic mappings(More)
The purposes were to study the role of lipopolysaccharide (LPS)-induced tumor necrosis factor (TNF)-α/nuclear factor-κB (NF-κB) signaling in matrix metalloproteinase 9 (MMP9) expression in A549 cells and to investigate the effects of lentivirus-mediated RNAi targeting of the disintegrin and metalloproteinase 17 (ADAM17) gene on LPS-induced MMP9 expression.(More)
Ryanodine receptor types 1 (RyR1) and 2 (RyR2) are calcium release channels that are highly enriched in skeletal and cardiac muscle, respectively, where they play an essential role in excitation-contraction coupling. Apocalmodulin (apo-CaM) weakly activates RyR1 but inhibits RyR2, whereas Ca(2+)-calmodulin inhibits both isoforms. Previous cryo-EM studies(More)