Composition with a two variable function
G. Guibert, F. Loeser, M. Merle
TL;DR
This paper computes the motivic nearby cycles for functions formed by composing two functions with separate variable sets, focusing on a two-variable function, advancing understanding in motivic integration.
Contribution
It introduces a method to compute motivic nearby cycles for composed functions involving two variables, expanding the toolkit for motivic analysis.
Findings
Explicit formulas for motivic nearby cycles in composed functions
Extension of motivic integration techniques to multi-variable compositions
New insights into the structure of motivic nearby cycles
Abstract
We compute the motivic nearby cycles of functions obtained by composition of two functions with distinct sets of variables with a two variable function
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory