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- Centre National de la Recherche ScientifiqueFR105 papers
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5 papers · 1 filter
Autoduality of the compactified Jacobian
Eduardo Esteves, Mathieu Gagne, Steven Kleiman
We prove the following autoduality theorem for an integral projective curve C in any characteristic. Given an invertible sheaf L of degree 1, form the corresponding Abel map A_L: C…
Convergence to the maximal invariant measure for a zero-range process with random rates
Enrique D. Andjel, Pablo A. Ferrari, Herve Guiol +1
We consider a one-dimensional totally asymmetric nearest-neighbor zero-range process with site-dependent jump-rates - an environment. For each environment p we prove that the set o…
Abel Maps and Presentation Schemes
E. Esteves, Mathieu Gagne, S. Kleiman
We sharpen the two main tools used to treat the compactified Jacobian of a singular curve: Abel maps and presentation schemes. First we prove a smoothness theorem for bigraded Abel…
Tangent Graeffe Iteration
Gregorio Malajovich, Jorge P. Zubelli
Graeffe iteration was the choice algorithm for solving univariate polynomials in the XIX-th and early XX-th century. In this paper, a new variation of Graeffe iteration is given, s…
Rigidity of Infinitely Renormalizable Unimodal Maps
Wellington de Melo, Alberto Pinto
Given infinitely renormalizable unimodal maps and with a quadratic critical point and the same bounded combinatorial type, we prove that they are conjugate…