✦ LIBER ✦

Algebraic curves over functional fields with a finite field of constants

✍ Scribed by A. N. Parshin

Publisher: SP MAIK Nauka/Interperiodica
Year: 1974
Tongue: English
Weight: 447 KB
Volume: 15
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01095123

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Diophantine Undecidability over Algebrai

Diophantine Undecidability over Algebraic Function Fields over Finite Fields of Constants

✍ Alexandra Shlapentokh 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t

Weak approximation over function fields

Weak approximation over function fields of curves over large or finite fields

✍ Yong Hu 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 292 KB

L-functions of Singular Curves over Fini

L-functions of Singular Curves over Finite Fields

✍ Francis N Castro; Carlos J Moreno 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 151 KB

In this paper we introduce a definition for L-functions associated to an Abelian covering of algebraic curves with singularities. The main result is a proof that this definition is compatible with the definition of the zeta function of a singular curve.

p-Algebras over an algebraic function fi

p-Algebras over an algebraic function field over a perfect field

✍ Ming-Chang Kang 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 169 KB

Partial Zeta Functions of Algebraic Vari

Partial Zeta Functions of Algebraic Varieties over Finite Fields

✍ Daqing Wan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 147 KB

## DEDICATED TO PROFESSOR CHAO KO ON THE OCCASION OF HIS 90TH BIRTHDAY Motivated by arithmetic applications, we introduce the notion of a partial zeta function which generalizes the classical zeta function of an algebraic variety de"ned over a "nite "eld. We then explain two approaches to the gene

Arcs and Curves over a Finite Field

✍ J.W.P. Hirschfeld; G. Korchmáros 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 149 KB

In [11], a new bound for the number of points on an algebraic curve over a "nite "eld of odd order was obtained, and applied to improve previous bounds on the size of a complete arc not contained in a conic. Here, a similar approach is used to show that a complete arc in a plane of even order q has