Titlebook: Singularities in Geometry, Topology, Foliations and Dynamics; A Celebration of the José Luis Cisneros-Molina,Dũng Tráng Lê,Jawad Snou Confe

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Singular Intersections of Quadrics I,gin in . is not a convex combination of any collection of . of the vectors ... We interpret this condition as a transversality property in order to approach the case when it is singular and we extend some results known for the smooth case, in particular the computation of the homology groups of . in

gregarious

A New Conjecture, a New Invariant, and a New Non-splitting Result,elov, and Lê in 1973-74..We do this while exploring a conjecture of Fernández de Bobadilla about a stronger version of our non-splitting result. To explore this conjecture, we define a new numerical invariant for hypersurfaces with 1-dimensional critical loci: the beta invariant. The beta invariant

妨碍

Lipschitz Geometry Does not Determine Embedded Topological Type,, 0). It is well known that the Lipschitz outer geometry of a complex plane curve germ determines and is determined by its embedded topological type.We prove that this does not remain true in higher dimensions. Namely, we give two normal hypersurface germs ($$ {{X}}_1 $$, 0) and ($$ {{X}}_2 $$, 0) i

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欢乐中国

Conduit

Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula,g branch-like singularities, degree lowering curves, and holomorphic maps having a fixed point set. Separately, we consider a further application involving the Chern classes of determinantal varieties when the latter are realized as the degeneracy loci of certain vector bundle morphisms.