On motivic zeta functions and the motivic nearby fiber

By Franziska Bittner. 2003

53 citations recorded by the source corpus.

Abstract.We collect some properties of the motivic zeta functions and the motivic nearby fiber defined by Denef and Loeser. In particular, we calculate the relative dual of the motivic nearby fiber. We give a candidate for a nearby cycle morphism on the level of Grothendieck groups of varieties using the motivic nearby fiber.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2b9f7de466ca917acaeb998871094152e401db87

How researchers see this paper

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In Algebra and Number Theory

1. G. Guibert
2. François Loeser
3. M. Merle
4. Johannes Nicaise
5. Willem Veys

In Geometry and Topology

1. G. Guibert
2. François Loeser
3. M. Merle
4. Johannes Nicaise
5. Willem Veys
6. Julien Sebag
7. G. Fichou
8. Raf Cluckers

In Mathematical Physics

1. G. Guibert
2. François Loeser
3. M. Merle
4. Johannes Nicaise
5. Raf Cluckers
6. G. Fichou

Citations in the corpus

• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink (2003, methodology): “3) is compatible with the one constructed by Bittner in [3], modulo the fact that our additional relation is finer than hers.”