By Christian Weiß

Those notes introduce a brand new type of algebraic curves on Hilbert modular surfaces. those curves are known as twisted Teichmüller curves, simply because their building is particularly comparable to Hirzebruch-Zagier cycles. those new gadgets are analyzed intimately and their major homes are defined. specifically, the amount of twisted Teichmüller curves is calculated and their elements are in part categorized. The learn of algebraic curves on Hilbert modular surfaces has been extensively lined within the literature as a result of their mathematics significance. between those, twisted diagonals (Hirzebruch-Zagier cycles) are probably the most very important examples.

Show description

Read or Download Twisted Teichmüller Curves (Lecture Notes in Mathematics) PDF

Best Algebraic Geometry books

Essays in Constructive Mathematics

Contents and remedy are clean and intensely various from the traditional remedies provides an absolutely confident model of what it skill to do algebra The exposition isn't just transparent, it really is pleasant, philosophical, and thoughtful even to the main naive or green reader

Ramanujan's Lost Notebook: Part II (Pt. 2)

Within the spring of 1976, George Andrews of Pennsylvania nation college visited the library at Trinity collage, Cambridge, to envision the papers of the past due G. N. Watson. between those papers, Andrews came across a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly exact "Ramanujan's misplaced pc.

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics)

This can be a publication approximately best numbers, congruences, mystery messages, and elliptic curves for you to learn conceal to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the collage of Washington. The systematic research of quantity conception used to be initiated round 300B.

Hilbert

"It offers a delicate portrait of an excellent man or woman. It describes adequately and intelligibly on a nontechnical point the area of mathematical principles within which Hilbert created his masterpieces. And it illuminates the heritage of German social heritage opposed to which the drama of Hilberts lifestyles used to be performed.

Extra info for Twisted Teichmüller Curves (Lecture Notes in Mathematics)

Show sample text content

Rated 4.65 of 5 – based on 6 votes