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- École Normale Supérieure - PSLFR647 papers
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31 papers · 1 filter
Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hyeonbae Kang, Seick Kim
We obtain sharp and Hölder estimates for the Neumann function of the operator on a bounded domain. We also obtain quantitative description of its…
Some Definability Results in Abstract Kummer Theory
Martin Bays, Misha Gavrilovich, Martin Hils
Let be a semiabelian variety over an algebraically closed field, and let be an irreducible subvariety not contained in a coset of a proper algebraic subgroup of . We sho…
Riemann-Roch theory for weighted graphs and tropical curves
Omid Amini, Lucia Caporaso
We define a divisor theory for graphs and tropical curves endowed with a weight function on the vertices; we prove that the Riemann-Roch theorem holds in both cases. We extend Bake…
On conformally invariant CLE explorations
Wendelin Werner, Hao Wu
We study some conformally invariant dynamic ways to construct the Conformal Loop Ensembles with simple loops introduced in earlier papers by Sheffield, and by Sheffield and Werner.…
Quasi-projectivity of normal varieties
Olivier Benoist
We prove that a normal variety contains finitely many maximal quasi-projective open subvarieties. As a corollary, we obtain the following generalization of the Chevalley-Kleiman pr…
On subgroups of semi-abelian varieties defined by difference equations
Zoé Chatzidakis, Ehud Hrushovski
Consider the algebraic dynamics on a torus T=G_m^n given by a matrix M in GL_n(Z). Assume that the characteristic polynomial of M is prime to all polynomials X^m-1. We show that an…