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In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ: Gal(F ab/F) → CF , where CF is the id...
In this paper, we show that the presentation of affine $\mathbb{T}$-varieties of complexity one in terms of polyhedral divisors holds over an arbitrary field. We describe also a class of multigraded a...
Abstract: We solve a generalization of B\"uchi's problem in any exponent for function fields, and briefly discuss some consequences on undecidability. This provides the first example where this proble...
Let k be a global field or a local field. Class field theory says that every central division algebra over k is cyclic. If k contains lth roots of unity, for a prime l not equal to the characteristic ...
Let F be the function field of an elliptic curveX over Fq. In this paper, we calculate explicit formulas for unramified Hecke operators acting on automorphic forms over F. We determine these formulas ...
The space of toroidal automorphic forms was introduced by Zagier in 1979. Let F be a global field. An automorphic form on GL(2) is toroidal if it has vanishing constant Fourier coefficients along all ...
This paper contains an account of arbitrary cubic function fields of characteristic three. We define a standard form for an arbitrary cubic curve and consider its function field. By considering an int...
专著信息 书名 Anderson”s double complex and Gamma monomials for rational Function fields 语种 英文 撰写或编译 作者 S.Bae,E.Gekeler,P.KangL.Yin 第一作者单位 出版社 Tran. Amer. Math. Soc. 355(2003), 3463-3474 出版地 出版日期 2003年 月 日 ...

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