منابع مشابه
Riemann Surfaces
Riemann introduced his surfaces in the middle of the 19th century in order to “geometrize” complex analysis. In doing so, he paved the way for a great deal of modern mathematics such as algebraic geometry, manifold theory, and topology. So this would certainly be of interest to students in these areas, as well as in complex analysis or number theory. In simple terms, a Riemann surface is a surf...
متن کاملCrystallography and Riemann Surfaces
The level set of an elliptic function is a doubly periodic point set in C. To obtain a wider spectrum of point sets, we consider, more generally, a Riemann surface S immersed in C2 and its sections (“cuts”) by C. We give S a crystallographic isometry in C2 by defining a fundamental surface element as a conformal map of triangular domains and S as its extension by reflections in the triangle edg...
متن کاملRiemann Surfaces and Differential
We present a new approach to the diierential geometry of surfaces in R 3 and R 4 that treats this theory as a \quaternioniied" version of the complex analysis and algebraic geometry of Riemann surfaces.
متن کاملHolography and Riemann Surfaces
We study holography for asymptotically AdS spaces with an arbitrary genus compact Riemann surface as the conformal boundary. Such spaces can be constructed from the Euclidean AdS3 by discrete identifications; the discrete groups one uses are the so-called classical Schottky groups. As we show, the spaces so constructed have an appealing interpretation of “analytic continuations” of the known Lo...
متن کاملPrepotentials and Riemann Surfaces
We organize and review some material from various sources about prepotentials, Riemann surfaces and kernels, WDVV, and the renormalization group, provide some further connections and information, and indicate some directions and problems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Physics
سال: 2020
ISSN: 0143-0807,1361-6404
DOI: 10.1088/1361-6404/abb4ef