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Displaying similar documents to “Homogeneous bundles and the first eigenvalue of symmetric spaces”

A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas, Norbert Hoffmann (2012)

Annales de l’institut Fourier

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Let X and X be compact Riemann surfaces of genus 3 , and let G and G be nonabelian reductive complex groups. If one component G d ( X ) of the coarse moduli space for semistable principal G –bundles over X is isomorphic to another component G d ( X ) , then X is isomorphic to X .

Compatible complex structures on twistor space

Guillaume Deschamps (2011)

Annales de l’institut Fourier

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Let M be a Riemannian 4-manifold. The associated twistor space is a bundle whose total space Z admits a natural metric. The aim of this article is to study properties of complex structures on Z which are compatible with the fibration and the metric. The results obtained enable us to translate some metric properties on M (scalar flat, scalar-flat Kähler...) in terms of complex properties of its twistor space Z .

Numerical character of the effectivity of adjoint line bundles

Frédéric Campana, Vincent Koziarz, Mihai Păun (2012)

Annales de l’institut Fourier

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In this note we show that, for any log-canonical pair ( X , Δ ) , K X + Δ is -effective if its Chern class contains an effective -divisor. Then, we derive some direct corollaries.