منابع مشابه
Continuity of Volumes on Arithmetic Varieties
We introduce the volume function for C-hermitian invertible sheaves on an arithmetic variety as an analogue of the geometric volume function. The main result of this paper is the continuity of the arithmetic volume function. As a consequence, we have the arithmetic Hilbert-Samuel formula for a nef C-hermitian invertible sheaf. We also give another applications, for example, a generalized Hodge ...
متن کاملComputability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism
The sometimes so-called Main Theorem of Recursive Analysis implies that any computable real function is necessarily continuous. We consider three relaxations of this common notion of real computability for the purpose of treating also discontinuous functions f : R → R: – non-deterministic computation; – relativized computation, specifically given access to oracles like ∅′ or ∅′′; – encoding inp...
متن کاملon finite arithmetic groups
let $f$ be a finite extension of $bbb q$, ${bbb q}_p$ or a global field of positive characteristic, and let $e/f$ be a galois extension. we study the realization fields of finite subgroups $g$ of $gl_n(e)$ stable under the natural operation of the galois group of $e/f$. though for sufficiently large $n$ and a fixed algebraic number field $f$ every its finite extension $e$ is re...
متن کاملOn Third Geometric-Arithmetic Index of Graphs
Continuing the work K. C. Das, I. Gutman, B. Furtula, On second geometric-arithmetic index of graphs, Iran. J. Math Chem., 1(2) (2010) 17-28, in this paper we present lower and upper bounds on the third geometric-arithmetic index GA3 and characterize the extremal graphs. Moreover, we give Nordhaus-Gaddum-type result for GA3.
متن کاملOn Second Geometric-Arithmetic Index of Graphs
The concept of geometric-arithmetic indices (GA) was put forward in chemical graph theory very recently. In spite of this, several works have already appeared dealing with these indices. In this paper we present lower and upper bounds on the second geometric-arithmetic index (GA2) and characterize the extremal graphs. Moreover, we establish Nordhaus-Gaddum-type results for GA2.
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2017
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v35i1.27933