Mathematics – Algebraic Geometry
Scientific paper
2011-01-04
Mathematics
Algebraic Geometry
17 pages
Scientific paper
Let k be an algebraically closed field and let X be a separated scheme of finite type over k of pure dimension d. We study the structure of the fibres of the truncation morphisms from the arc space of X to jet spaces of X and also between jet spaces. Our results are generalizations of results of Denef, Loeser, Ein and Mustata. We will use them to find the optimal lower bound for the poles of the motivic zeta function associated to an arbitrary ideal.
Pablos Helena Cobo
Segers Dirk
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