Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleNearby cycles and composition with a nondegenerate polynomial.AuthorsGuibert, Gil; Loeser, François; Merle, MichelAbstractWe compute the motivic nearby cycles of functions obtained by composition with a polynomial which is nondegenerate with respect to its Newton polyhedron. Our result involves new convolution operators and generalized nearby cycles.SubjectsNON-degenerate perturbation theory; POLYNOMIALS; POLYHEDRA; MATHEMATICAL convolutions; MATHEMATICS theoremsPublicationIMRN: International Mathematics Research Notices, 2005, Vol 2005, Issue 31, p1873ISSN1073-7928Publication typeArticleDOI10.1155/IMRN.2005.1873