Twisted Teichmuller Curves (Paperback, 2014 ed.)

These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmuller curves is calculated and their components are partially classified. The study of algebraic curves on Hilbert modular surfaces has been widely covered in the literature due to their arithmetic importance. Among these, twisted diagonals (Hirzebruch-Zagier cycles) are some of the most important examples.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2104
Release date:	March 2014
First published:	2014
Authors:	Christian Weiss
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	166
Edition:	2014 ed.
ISBN-13:	978-3-319-04074-5
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	3-319-04074-X
Barcode:	9783319040745

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