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We de ne Schubert Eisenstein series as sums like usual Eisenstein
series but with the summation restricted to elements of a particular Schubert
cell, indexed by an element of the Weyl group. They ar...
A Dilution Test for the Convergence of Subseries of a Monotone Series
Convergence Subseries of a Monotone Series
2010/11/24
Cauchy's condensation test allows to determine the convergence of a monotone series by looking at a weighted subseries that only involves terms of the original series indexed by the powers of two. It ...
Motivic Poincaré series, toric singularities and logarithmic jacobian ideals
Motivic Poincaré series toric singularities logarithmic jacobian ideals
2010/11/22
The geometric motivic Poincar\'e series of a variety, which was introduced by Denef and Loeser, takes into account the classes in the Grothendieck ring of the sequence of jets of arcs in the variety. ...
Arithmetic Motivic Poincaré series of toric varieties
Arithmetic Motivic Poincaré series toric varieties
2010/11/22
The arithmetic motivic Poincar\'e series of a variety $V$ defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by analogy with the Ser...