caa a22 4500 445849436 CHVBK 20180317145409.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10240-011-0033-3 doi (NATIONALLICENCE)springer-10.1007/s10240-011-0033-3 Exponential rarefaction of real curves with many components [Elektronische Daten] [Damien Gayet, Jean-Yves Welschinger] Given a positive real Hermitian holomorphic line bundle L over a smooth real projective manifold X, the space of real holomorphic sections of the bundle L d inherits for every d∈ℕ∗ a L 2-scalar product which induces a Gaussian measure. When X is a curve or a surface, we estimate the volume of the cone of real sections whose vanishing locus contains many real components. In particular, the volume of the cone of maximal real sections decreases exponentially as d grows to infinity. IHES and Springer-Verlag, 2011 Gayet Damien CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, Université de Lyon, 69622, Villeurbanne Cedex, France aut Welschinger Jean-Yves CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, Université de Lyon, 69622, Villeurbanne Cedex, France aut Publications mathématiques de l'IHÉS Springer-Verlag 113/1(2011-06-01), 69-96 0073-8301 113:1<69 2011 113 10240 https://doi.org/10.1007/s10240-011-0033-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10240-011-0033-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gayet Damien CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, Université de Lyon, 69622, Villeurbanne Cedex, France aut NATIONALLICENCE 700 1- Welschinger Jean-Yves CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, Université de Lyon, 69622, Villeurbanne Cedex, France aut NATIONALLICENCE 773 0- Publications mathématiques de l'IHÉS Springer-Verlag 113/1(2011-06-01), 69-96 0073-8301 113:1<69 2011 113 10240 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer