By Christian Weiß
Those notes introduce a brand new classification of algebraic curves on Hilbert modular surfaces. those curves are referred to as twisted Teichmüller curves, simply because their development is especially resembling Hirzebruch-Zagier cycles. those new items are analyzed intimately and their major houses are defined. specifically, the quantity of twisted Teichmüller curves is calculated and their elements are in part categorized. The learn of algebraic curves on Hilbert modular surfaces has been generally coated within the literature as a result of their mathematics value. between those, twisted diagonals (Hirzebruch-Zagier cycles) are probably the most very important examples.
Read or Download Twisted Teichmüller Curves (Lecture Notes in Mathematics) PDF
Similar Algebraic Geometry books
The writer, a number one determine in algebraic topology, presents a latest therapy of an extended validated set of questions during this very important learn region. The book's primary objective--and major result--is the category theorem on k-variants and boundary invariants, which complement the classical photo of homology and homotopy teams, in addition to computations of varieties which are got by means of using this theorem.
In response to a path given to gifted high-school scholars at Ohio collage in 1988, this publication is basically a sophisticated undergraduate textbook concerning the arithmetic of fractal geometry. It well bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry.
This quantity comprises the extended lectures given at a convention on quantity idea and mathematics geometry held at Boston college. It introduces and explains the various rules and strategies utilized by Wiles, and to provide an explanation for how his end result may be mixed with Ribets theorem and ideas of Frey and Serre to end up Fermats final Theorem.
Additional info for Twisted Teichmüller Curves (Lecture Notes in Mathematics)