منابع مشابه
Formulas for monodromy
Given a family X of complex varieties degenerating over a punctured disk, one is interested in computing related invariants called the motivic nearby fiber and the refined limit mixed Hodge numbers, both of which contain information about the induced action of monodromy on the cohomology of a fiber of X . Our first main result is that the motivic nearby fiber of X can be computed by first strat...
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For the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. When the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. In this paper we will consider the polynomial planar vector fields ...
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ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2017
ISSN: 2197-9847
DOI: 10.1186/s40687-017-0097-x