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

Exploring numerous of the evolutionary branches of the mathematical idea of genus, this booklet lines the belief from its prehistory in difficulties of integration, via algebraic curves and their linked Riemann surfaces, into algebraic surfaces, and at last into better dimensions. Its value in research, algebraic geometry, quantity idea and topology is emphasised via many theorems. nearly each bankruptcy is prepared round excerpts from a learn paper during which a brand new standpoint was once prompted the genus or on one of many items to which this thought applies. 
The writer was once stimulated through the assumption topic may well most sensible be understood and communicated by way of learning its large traces of improvement, feeling the way in which one arrives on the definitions of its basic notions, and appreciating the quantity of attempt spent on the way to discover its phenomena.

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