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 ebook lines the belief 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 thought and topology is emphasised via many theorems. virtually each bankruptcy is geared up round excerpts from a study paper during which a brand new standpoint was once caused the genus or on one of many items to which this concept applies. 
The writer used to be encouraged by means of the assumption topic could top be understood and communicated through learning its vast traces of improvement, feeling the way in which one arrives on the definitions of its basic notions, and appreciating the quantity of attempt spent so one can discover its phenomena.

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