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2018-05-21  01:36 hrs.

The Arc Hilbert-Poincaré series.

Hussein Mourtada
Université de Paris 7

The cone structure of the space of arcs centered at a point of a scheme X, permits to define a new invariant of singularities that we call: The Arc Hilbert Poincaré series. We will describe this invariant and compute it in some simple cases (smooth varieties, rational double point singularities, normal crossing divisors). When X is the double point Spec(k[y]/y2), the result is surprising: our series is the series that appears in the first identity of the Rogers-Ramanujan Identities. This is joint work with Clemens Bruschek an Jan Schepers.

Palapa Nueva -- Lunes 26 de noviembre de 2012, 16:00 horas

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