Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals

Loading...
Thumbnail Image

Full text at PDC

Publication date

2012

Advisors (or tutors)

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society
Citations
Google Scholar

Citation

Abstract

The geometric motivic Poincare 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. Denef and Loeser proved that this series has a rational form. We describe it in the case of an affine toric variety of arbitrary dimension. The result, which provides an explicit set of candidate poles, is expressed in terms of the sequence of Newton polyhedra of certain monomial ideals,which we call logarithmic Jacobian ideals, associated to the modules of differential forms with logarithmic poles outside the torus of the toric variety.

Research Projects

Organizational Units

Journal Issue

Description

Keywords

Collections