Topology of mixed hypersurfaces of cyclic type
Kazumasa Inaba, Masayuki Kawashima, Mutsuo Oka
TL;DR
This paper investigates the topology of certain mixed hypersurfaces of cyclic type, demonstrating that their links are diffeomorphic and their Milnor fibrations are isomorphic, thus revealing deep topological equivalences.
Contribution
It establishes the diffeomorphism of links and isomorphism of Milnor fibrations for a class of mixed hypersurfaces of cyclic type, advancing understanding of their topological structure.
Findings
Links are diffeomorphic
Milnor fibrations are isomorphic
Topological equivalences in cyclic type hypersurfaces
Abstract
We study a simplicial mixed polynomial of cyclic type and its associated weighted homogeneous polynomial. In the present paper, we show that their links are diffeomorphic and their Milnor fibrations are isomorphic.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Geometry and complex manifolds