The 1st a part of the e-book reviews pseudo-periodic maps of a closed floor of genus more than or equivalent to 2. This type of homeomorphisms was once initially brought by way of J. Nielsen in 1944 as an extension of periodic maps. during this e-book, the conjugacy periods of the (chiral) pseudo-periodic mapping sessions are thoroughly labeled, and Nielsen's incomplete type is corrected. the second one half applies the result of the 1st half to the topology of degeneration of Riemann surfaces. it truly is proven that the set of topological varieties of all of the singular fibers showing in a single parameter holomorphic households of Riemann surfaces is in a bijective correspondence with the set of conjugacy sessions of the pseudo-periodic maps of damaging twists. The correspondence is given by way of the topological monodromy.

Show description

Read Online or Download Pseudo-periodic Maps and Degeneration of Riemann Surfaces (Lecture Notes in Mathematics) PDF

Best Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly principles from algebraic topology, sensible research and geometry. it's a device - a method of conveying details between those 3 matters - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this booklet is to acquaint the reader with the basic rules of analytic K-homology and strengthen a few of its functions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of simple examples and methods during this sector. compatible for self-study through a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

Hilbert

"It provides a delicate portrait of a very good person. It describes safely and intelligibly on a nontechnical point the area of mathematical principles within which Hilbert created his masterpieces. And it illuminates the heritage of German social background opposed to which the drama of Hilberts existence was once performed.

Introduction to Analysis of the Infinite: Book I

From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got constrained myself to these concerns pertaining to natural research. within the moment ebook i've got defined these factor which has to be recognized from geometry, on account that research is quite often built in one of these means that its program to geometry is proven.

Extra resources for Pseudo-periodic Maps and Degeneration of Riemann Surfaces (Lecture Notes in Mathematics)

Show sample text content

Rated 4.77 of 5 – based on 46 votes