Twisted Teichmüller Curves - E-book

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Twisted Teichmüller Curves - ENG

Christian Weiß

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Sinopsis

ISBN:	9783319040752
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2014-02-21

These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted TeichmÃ¼ller 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 TeichmÃ¼ller 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.

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