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math.AG2019
Uniform stable radius and Milnor number for non-degenerate isolated complete intersection singularities
Tat Thang Nguyen
We prove that for two germs of analytic mappings with the same Newton polyhedra which are (Khovanskii) non-degenerate and…
math.AG2019
Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito)
Tat Thang Nguyen, Kiyoshi Takeuchi
We introduce meromorphic nearby cycle functors and study their functorial properties. Moreover we apply them to monodromies of meromorphic functions in various situations. Combinat…
math.AG2019
Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci
Quy Thuong Lê, Tat Thang Nguyen
We study polynomials with complex coefficients which are nondegenerate in two senses, one of Kouchnirenko and the other with respect to its Newton polyhedron, through data on conta…