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

By Paula Tretkoff,Hans-Christoph Im Hof

ISBN-10: 069114477X

ISBN-13: 9780691144771

This booklet introduces the idea of advanced surfaces via a complete examine finite covers of the projective airplane branched alongside line preparations. Paula Tretkoff emphasizes these finite covers which are unfastened quotients of the complicated 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 publication begun as a collection of lecture notes, taken by way of Tretkoff, of a path given via Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes have been then significantly accelerated through Hirzebruch and Tretkoff over a few years. during this e-book, Tretkoff has accelerated these notes even additional, nonetheless stressing examples provided by way of finite covers of line preparations. The ebook is basically self-contained and foundational fabric is brought and defined as wanted, yet no longer handled in complete aspect. 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 quarter of complicated geometry.

Show description

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

Similar geometry & topology books

New PDF release: Topics in Physical Mathematics

As many readers will comprehend, the 20 th century used to be a time while the fields of arithmetic and the sciences have been visible as separate entities. attributable to the swift development of the actual sciences and an expanding abstraction in mathematical learn, each one social gathering, physicists and mathematicians alike, suffered a false impression; not just of the opposition’s theoretical underpinning, yet of the way the 2 matters will be intertwined and successfully applied.

Antonio Mucherino,Carlile Lavor,Leo Liberti,Nelson Maculan's Distance Geometry: Theory, Methods, and Applications PDF

This quantity is a suite of study surveys at the Distance Geometry challenge (DGP) and its functions. will probably be divided into 3 elements: idea, equipment and functions. every one half  will comprise no less than one survey and several other study papers. The first half, thought, will care for theoretical elements of the DGP, together with a brand new type of difficulties and the examine of its complexities in addition to the relation among DGP and different comparable subject matters, corresponding to: distance matrix idea, Euclidean distance matrix final touch challenge, multispherical constitution of distance matrices, distance geometry and geometric algebra, algebraic distance geometry conception, visualization of K-dimensional constructions within the aircraft, graph stress, and conception of discretizable DGP: symmetry and complexity.

Read e-book online Real Analysis: Measures, Integrals and Applications PDF

Genuine research: Measures, Integrals and purposes is dedicated to the fundamentals of integration conception and its similar subject matters. the most emphasis is made at the homes of the Lebesgue imperative and numerous purposes either classical and people hardly coated in literature. This booklet presents an in depth advent to Lebesgue degree and integration in addition to the classical effects relating integrals of multivariable services.

Read e-book online Hyperbolic Geometry (Springer Undergraduate Mathematics PDF

The geometry of the hyperbolic airplane has been an lively and interesting box of mathematical inquiry for many of the previous centuries. This publication offers a self-contained advent to the topic, supplying the reader with a company grab of the recommendations and methods of this gorgeous region of arithmetic.

Additional resources for Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) (Mathematical Notes)

Sample text

Download PDF sample

Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) (Mathematical Notes) by Paula Tretkoff,Hans-Christoph Im Hof

by Kenneth

Rated 4.39 of 5 – based on 50 votes