Download Complex Ball Quotients and Line Arrangements in the by Paula Tretkoff,Hans-Christoph Im Hof PDF

By Paula Tretkoff,Hans-Christoph Im Hof

This e-book introduces the idea of advanced surfaces via a entire examine finite covers of the projective aircraft branched alongside line preparations. Paula Tretkoff emphasizes these finite covers which are unfastened quotients of the advanced two-dimensional ball. Tretkoff additionally contains historical past at the classical Gauss hypergeometric functionality of 1 variable, and a bankruptcy at the Appell two-variable F1 hypergeometric function.

The fabric during this booklet started as a suite of lecture notes, taken via Tretkoff, of a path given by means of Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes have been then significantly accelerated by way of Hirzebruch and Tretkoff over a couple of years. during this publication, Tretkoff has elevated these notes even extra, nonetheless stressing examples provided by means of finite covers of line preparations. The publication is essentially self-contained and foundational fabric is brought and defined as wanted, yet now not handled in complete element. References to passed over fabric are supplied for readers.

Aimed at graduate scholars and researchers, this is often an available account of a hugely informative sector of advanced geometry.

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Read Online or Download Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) (Mathematical Notes) PDF

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