منابع مشابه
Ideal Theory on Open Riemann Surfaces
Introduction. The theorems of the classical ideal theory in fields of algebraic numbers hold in rings of analytic functions on compact Riemann surfaces. The surfaces admitted in our discussion are closely related to algebraic surfaces; we deal either with compact surfaces from which a finite number of points are omitted or, more generally, with surfaces determined by an algebroid function. The ...
متن کاملAbelian Gauge Theory on Riemann Surfaces
An Abelian gauge eld theory framed on a complex line bundle L over a compact Riemann surface M is developed which allows the coexistence, simultaneously in the same model, of magnetic vortices and antivortices represented by the N zeros and P poles of a section of L. The quantized minimum energy E is given in terms of the rst Chern class c 1 (L) and by a certain intersection number obtained fro...
متن کاملSuper Riemann Surfaces: Uniformization and Teichmiiller Theory
Teichmiiller theory for super Riemann surfaces is rigorously developed using the supermanifold theory" of Rogers. In the case of trivial topology in the soul directions, relevant for superstring applications, the following results are proven. The super Teichmiiller space is a complex super-orbifold whose body is the ordinary Teichmiiller space of the associated Riemann surfaces with spin struct...
متن کاملInformation Theory and Moduli of Riemann Surfaces
One interpretation of Torelli’s Theorem, which asserts that a compact Riemann Surface X of genus g > 1 is determined by the g(g+1)/2 entries of the period matrix, is that the period matrix is a message about X. Since this message depends on only 3g− 3 moduli, it is sparse, or at least approximately so, in the sense of information theory. Thus, methods from information theory may be useful in re...
متن کاملLiouville Theory: Quantum Geometry of Riemann Surfaces
Inspired by Polyakov’s original formulation [1, 2] of quantum Liouville theory through functional integral, we analyze perturbation expansion around a classical solution. We show the validity of conformal Ward identities for puncture operators and prove that their conformal dimension is given by the classical expression. We also prove that total quantum correction to the central charge of Liouv...
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: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08669-3