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Dimca is a distinguished mathematician in algebra, geometry and topology. [3] He has written three important books in this field: Sheaves in Topology, Singularities and Topology of Hypersurfaces and Topics on real and complex singularities.
In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book Singular Points of Complex Hypersurfaces (Princeton University Press, 1968) and earlier lectures.
In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ.. If f is a complex-valued holomorphic function germ then the Milnor number of f, denoted μ(f), is either a nonnegative integer, or is infinite.
Dimca, Alexandru; Singularities and Topology of Hypersurfaces. Section 3 of Peters, C.A.M. and J.H.M. Steenbrink: Infinitesimal variations of Hodge structure and the ...
Hypersurfaces share, with surfaces in a three-dimensional space, the property of being defined by a single implicit equation, at least locally (near every point), and sometimes globally. A hypersurface in a (Euclidean, affine, or projective) space of dimension two is a plane curve. In a space of dimension three, it is a surface.
Singularities of this kind include caustics, very familiar as the light patterns at the bottom of a swimming pool. Other ways in which singularities occur is by degeneration of manifold structure. The presence of symmetry can be good cause to consider orbifolds , which are manifolds that have acquired "corners" in a process of folding up ...
A new study suggests that a diet filled with protein and fiber may be the most effective for weight loss. Here's what a dietitian wants you to know.
René Frédéric Thom (French: [ʁəne tɔm]; 2 September 1923 – 25 October 2002) was a French mathematician, who received the Fields Medal in 1958.. He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became world-famous among the wider academic community and the educated general public for one aspect of this latter interest, his work ...