Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weight functions, double reciprocity laws, and volume formulas for lattice polyhedra.

We extend the concept of manifold with boundary to weight and boundary weight functions. With the new concept, we obtained the double reciprocity laws for simplicial complexes, cubical complexes, and lattice polyhedra with weight functions. For a polyhedral manifold with boundary, if the weight function has the constant value 1, then the boundary weight function has the constant value 1 on the ...

متن کامل

Reciprocity Laws

Informal notes for a talk at UNCG on reciprocity laws (such as quadratic reciprocity and Shimura-Taniyama). This material is from Fearless Symmetry by Ash and Gross [1] and Galois Representations and Modular Forms by Ribet [2].

متن کامل

Factorization of zeta-functions, reciprocity laws, non-vanishing

The factorization of ζo(s) is the main issue. After giving a definition of this zeta function, we will see that the factorization is equivalent to understanding the behavior of rational primes in the extension ring Z[ω] of Z: do they stay prime, or do they factor as products of primes in Z[ω]? A complication is that the rings Z[ω] are rarely principal ideal domains. To delay contemplation of th...

متن کامل

Logarithmic functional and reciprocity laws

In this paper, we give a short survey of results related to the reciprocity laws over the field C. We announce a visual topological proof of Parshin’s multidimensional reciprocity laws over C. We introduce the logarithmic functional, whose argument is an n-dimensional cycle in the group (C∗)n+1. It generalizes the usual logarithm, which can be considered as the zero-dimensional logarithmic func...

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

ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 1998

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.95.16.9093