Melle Hernández, Alejandro and GuseinZade, Sabir Medgidovich and Luengo Velasco, Ignacio (2006) Integration over a space of nonparametrized arcs, and motivic analogues of the monodromy zeta function. Proceedings of the Steklov Institute of Mathematics, 252 (1). pp. 6373. ISSN 15318605

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Official URL: http://www.springerlink.com/content/119896/
Abstract
Notions of integration of motivic type over the space of arcs factorized by the natural C*action and over the space of nonparametrized arcs (branches) are developed. As an application, two motivic versions of the zeta function of the classical monodromy transformation of a germ of an analytic function on ℂd are given that correspond to these notions. Another key ingredient in the construction of these motivic versions of the zeta function is the use of the socalled power structure over the Grothendieck ring of varieties introduced by the authors.
Item Type:  Article 

Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  13920 
Deposited On:  18 Nov 2011 08:20 
Last Modified:  06 Feb 2014 09:55 
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