The number of ramified covering of a Riemann surface by Riemann surface

نویسندگان

  • An-Min Li
  • Guosong Zhao
  • Quan Zheng
چکیده

Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The number of ramified covering of the sphere by Riemann surface

Interpreting the number of ramified covering of the sphere by Riemann surface as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of the sphere by Riemann surface with any genus, with elementary branch points and prescribed ramification type over infinity.

متن کامل

Counting Meromorphic Functions with Critical Points of Large Multiplicities

We study the number of meromorphic functions on a Riemann surface with given critical values and prescribed multiplicities of critical points and values. When the Riemann surface is CP1 and the function is a polynomial, we give an elementary way of finding this number. In the general case, we show that, as the multiplicities of critical points tend to infinity, the asymptotic for the number of ...

متن کامل

SYMMETRIES OF REAL CYCLIC p-GONAL RIEMANN SURFACES

A closed Riemann surface X which can be realised as a p-sheeted covering of the Riemann sphere is called p-gonal, and such a covering is called a p-gonal morphism. A p-gonal Riemann surface is called real p-gonal if there is an anticonformal involution (symmetry) σ of X commuting with the p-gonal morphism. If the p-gonal morphism is a cyclic regular covering the Riemann surface is called real c...

متن کامل

Note on the Riemann-hurwitz Type Formula for Multiplicative Sequences

We give a formula of the Riemann-Hurwitz type for classes defined by multiplicative sequences as corollaries of the Chern number formula for ramified coverings. 1. 1.1. In the classical results on Riemann surfaces, we have the Riemann-Hurwitz formula which relates the topological Euler numbers of the covering space and base space. The difference of the Euler numbers can be expressed by local re...

متن کامل

Some Relations between Graph Theory Andriemann

In this paper, we present some new relationships between graph theory and the geometry of Riemann surfaces. For the most part, we present these relationships in terms of questions and open problems. Since these questions have arisen from a number of recent developments, we also describe these developments so as to provide a context for these questions. In fact, our main interest here is to pres...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999