Download E-books What is the Genus? (Lecture Notes in Mathematics) PDF

Exploring a number of of the evolutionary branches of the mathematical proposal of genus, this booklet strains the assumption from its prehistory in difficulties of integration, via algebraic curves and their linked Riemann surfaces, into algebraic surfaces, and eventually into larger dimensions. Its value in research, algebraic geometry, quantity concept and topology is emphasised via many theorems. virtually each bankruptcy is prepared round excerpts from a study paper within which a brand new standpoint was once prompted the genus or on one of many gadgets to which this thought applies. 
The writer used to be inspired by way of the idea topic could top be understood and communicated by means of learning its extensive strains of improvement, feeling the best way one arrives on the definitions of its primary notions, and appreciating the quantity of attempt spent on the way to discover its phenomena.

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