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Geodesic restrictions of eigenfunctions on arithmetic surfaces
Geodesic restrictions of eigenfunctions arithmetic surfaces Number Theory
2012/4/23
Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of ...
Very stable extensions on arithmetic surfaces
Projective curve Semi-stable bundle Secant variety
2010/12/15
Given a line bundle L on a smooth projective curve over the com-plex numbers, we show that a general extension E of L by the trivial line bundle is very stable: line bundles contained in E have degree...