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Overview"This volume is an outgrowth of the AMS Special Session on Extremal Riemann Surfaces held at the Joint Mathematics Meeting in San Francisco, January 1995. The book deals with a variety of extremal problems related to Riemann surfaces. Some papers deal with the identification of surfaces with longest systole (element of shortest nonzero) for the length spectrum and the Jacobian. Parallels are drawn to classical questions involving extremal lattices. Other papers deal with maximizing or minimizing functions defined by the spectrum such as the heat kernel, the zeta function, and the determinant of the Laplacian, some from the point of view of identifying an extremal logic. There are discussions of Hurwitz surfaces and surfaces with large cyclic groups of automorphisms. Also discussed are surfaces which are natural candidates for solving extremal problems such as triangular, modular, and arithmetic surfaces, and curves in various group theoretically defined curve families. Other allied topics ae theta identities, quadratic periods of Abelian differentials, Teichm*""uller disks, binary quadratic forms, and spectral asymptotics of degenerating hyperbolic three manifolds." Full Product DetailsAuthor: J.R. Quine , Peter SarnakPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: v. 201 Weight: 0.454kg ISBN: 9780821805145ISBN 10: 0821805142 Pages: 243 Publication Date: 30 November 1996 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: To order Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |