Some rationality questions on algebraic groups

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

Some Foundational Questions concerning Differential Algebraic Groups

In this paper we solve some problems posed by Kolchin about differential algebraic groups. The main result (from which the others follow) is the embeddability of any differential algebraic group in an algebraic group. A crucial intermediate result, and one of independent interest, is a generalisation of Weil’s theorem on recovering an algebraic group from birational data, to pro-algebraic groups.

متن کامل

On Some Questions of Rationality and Decidability

In this note we begin by resolving (in the negative) a question posed by Paz [6, Open Problem 1, p. 65] concerning the existence of an effective procedure for determining whether a recursively specified "probabilistie input-output relation" is of finite rank. To show that such an algorithm does not exist, it is enough to prove the undecidability of the corresponding problem for "probabilistic w...

متن کامل

Some Questions in Algebraic Geometry

Frans Oort \Een zot kan meer vragen \One fool can ask more questions dan tien wijzen kunnen beantwoorden." than ten wise men can answer." Een oud Nederlands spreekwoord. An old Dutch saying. Introduction In June 1995 several mathematicians will gather in Utrecht for a conference on \Arithmetic and geometry of abelian varieties," and this seems a good occasion to share with them some of the ques...

متن کامل

Some questions on subgroups of 3-dimensional Poincaré duality groups

We state a number of open questions on 3-dimensional Poincaré duality groups and their subgroups, motivated by considerations from 3-manifold topology. AMS Subject classification (1985): Primary 57N10, Secondary 57M05, 20J05

متن کامل

Some Remarks on Nil Groups in Algebraic K-theory

This note explains consequences of recent work of Frank Quinn for computations of Nil groups in algebraic K-theory, in particular the Nil groups occurring in the K-theory of polynomial rings, Laurent polynomial rings, and the group ring of the infinite dihedral group. 1. Statement of Results Let R be a ring with unit. For an integer q, let KqR be the algebraic K-group of Bass and Quillen. Bass ...

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: Annali di Matematica Pura ed Applicata

سال: 1957

ISSN: 0373-3114,1618-1891

DOI: 10.1007/bf02411903