Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 33,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0

Comptes Rendus Mathématique
Volume 341, n° 1
pages 21-24 (juillet 2005)
Doi : 10.1016/j.crma.2005.05.007
Received : 7 Mars 2005 ;  accepted : 4 May 2005
Invariant de Serre et fibre de Milnor analytique
The Serre invariant and the analytic Milnor fiber

Johannes Nicaise a , Julien Sebag b
a KU Leuven, Departement de mathématiques, Celestijnenlaan 200B, 3001 Leuven, Belgique 
b Université Bordeaux I, institut mathématique de Bordeaux, laboratoire A2X, 351, cours de la Libération, 33405 Talence, France 


Soit R un anneau de valuation discrète complet dʼégales caractéristiques. Nous étudions le comportement des invariants de Serre motiviques (dont nous raffinons la définition) après extension finie de R . Nous établissons une formule de trace, qui donne une interprétation cohomologique des invariants de Serre, en termes des nombres de Lefschetz de la monodromie sur les cycles proches. Pour citer cet article : J. Nicaise, J. Sebag, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.

In this Note, we refine the notion of motivic Serre invariants. We study the behaviour of these invariants under ramification. We establish a trace formula, which yields a cohomological interpretation of the motivic Serre invariants, in terms of the Lefschetz numbers of the monodromy action on the nearby cycles. To cite this article: J. Nicaise, J. Sebag, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.

© 2005  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline