A Scrapbook of Complex Curve Theory, PDF eBook

A Scrapbook of Complex Curve Theory PDF

Part of the University Series in Mathematics series

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This is a book of "impressions" of a journey through the theory of com- plex algebraic curves.

It is neither self-contained, balanced, nor particularly tightly organized.

As with any notebook made on a journey, what appears is that which strikes the writer's fancy.

Some topics appear because of their compelling intrinsic beauty.

Others are left out because, for all their impor- tance, the traveler found them boring or was too dull or lazy to give them their due.

Looking back at the end of the journey, one can see that a common theme in fact does emerge, as is so often the case; that theme is the theory of theta functions.

In fact very much of the material in the book is prepara- tion for our study of the final topic, the so-called Schottky problem.

More than once, in fact, we tear ourselves away from interesting topics leading elsewhere and return to our main route.

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