Twisted Teichmuller Curves, Paperback / softback Book

Twisted Teichmuller Curves Paperback / softback

Part of the Lecture Notes in Mathematics series

Description

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.

Information

  • Format: Paperback / softback
  • Pages: 166 pages, 2 Tables, black and white; 6 Illustrations, color; 7 Illustrations, black and white; XVI,
  • Publisher: Springer International Publishing AG
  • Publication Date:
  • Category: Number theory
  • ISBN: 9783319040745

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