Download E-books Twisted Teichmüller Curves (Lecture Notes in Mathematics) PDF

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.

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