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- École Normale Supérieure - PSLFR39 papers
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4 papers · 1 filter
On the period map for prime Fano threefolds of degree 10
O. Debarre, A. Iliev, L. Manivel
We prove that the deformations of a smooth complex Fano threefold X with Picard number 1, index 1, and degree 10, are unobstructed. The differential of the period map has two-dimen…
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…
From Klein to Painleve via Fourier, Laplace and Jimbo
Philip Boalch
We will describe a method for constructing explicit algebraic solutions to the sixth Painleve equation, generalising that of Dubrovin-Mazzocco. There are basically two steps: First…
Rationalite des series de Poincare et des fonctions Zeta motiviques
Julien Sebag
If k is a field of characteristic 0, we prove that the motivic Poincare serie and the motivic Zeta functions associated to a k[[t]]-variety, flat and purely dimensional, are ration…