Milnor Fiber Boundary of a Non isolated Surface Singularity is popular PDF and ePub book, written by András Némethi in 2012-01-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Milnor Fiber Boundary of a Non isolated Surface Singularity can be Read Online from any device for your convenience.
Milnor Fiber Boundary of a Non isolated Surface Singularity Book PDF Summary
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides the characteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples, including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized.
Detail Book of Milnor Fiber Boundary of a Non isolated Surface Singularity PDF
- Author : András Némethi
- Release : 06 January 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642236464
- Genre : Mathematics
- Total Page : 241 pages
- Language : English
- PDF File Size : 17,8 Mb
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