On the topology of full non-degenerate complete intersection variety

Abstract

Let h1(u),…, hk(u) be Laurent polynomials of m-variables and letbe a non-degenerate complete intersection variety. Such an intersection variety appears as an exceptional divisor of a resolution of non-degenerate complete intersection varieties with an isolated singularity at the origin (Ok4]).

Motivic Milnor Fibers over Complete Intersection Varieties and their Virtual Betti Numbers

“…For the classical case where X = C m see [1,3,21,22,29,31,34,45,47] etc. Similarly, also for any y ∈ X 0 = {x ∈ X | f(x) = 0} we can define the Milnor fiber F y and its monodromies Φ j,y .…”

“…was determined by Oka [33,34] and Kirillov [20] (see also [27] for some generalizations). Our objective here is to describe the Jordan nor- Saito [38,40].…”

Integral cohomology and mirror symmetry for Calabi-Yau 3-folds

“…Theorem 1.6 can be considered as a special case of a more general result of Oka (see [24], Chapter V, §5).…”

Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems

“…in terms of the Newton polyhedra of the component functions of F. The class of non-degenerate maps is sufficiently large and plays an important role in Singularity Theory and Algebraic Geometry (see, for instance, [1], [21], [48]). We will apply this condition for real polynomial maps.…”