Topic
Divisor
About: Divisor is a research topic. Over the lifetime, 2462 publications have been published within this topic receiving 21394 citations. The topic is also known as: factor & submultiple.
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14 citations
TL;DR: In this paper, the average value of the function τk(n), the number of representations of n as a product of k natural factors, with a remainder term which is uniform in x and k, was studied.
Abstract: In this paper we study the average value of the function τk(n), the number of representations of n as a product of k natural factors, n≤x, with a remainder term which is uniform in x and k.
14 citations
TL;DR: In this paper, the Grassmannian Grass (2, n ) is presented as a fansy divisor on the moduli space of stable, n-pointed, rational curves M ¯ 0, n.
14 citations
Patent•
04 Apr 1979
TL;DR: In this paper, a high resolution fractional divider is responsive to a multi-bit divisor representative control word and a clock signal for developing an output signal having an average frequency of the form n-f, wherein n is an integer determined according to the most significant bits of the control word.
Abstract: A high resolution fractional divider is responsive to a multi-bit divisor representative control word and a clock signal for developing an output signal having an average frequency of the form n-f, wherein n is an integer determined according to the most significant bits of the control word and f is a fraction determined according to the least significant bits of the control word.
14 citations
Posted Content•
TL;DR: In this article, it was shown that for a large class of stacks one typically encounters, this description does indeed characterize them and that each such stack can be described in terms of two simple procedures applied iteratively to its coarse space.
Abstract: In casual discussion, a stack is often described as a variety (the coarse space) together with stabilizer groups attached to some of its subvarieties. However, this description does not uniquely specify the stack. Our main result shows that for a large class of stacks one typically encounters, this description does indeed characterize them. Moreover, we prove that each such stack can be described in terms of two simple procedures applied iteratively to its coarse space: canonical stack constructions and root stack constructions.
More precisely, if $\mathcal X$ is a smooth separated tame Deligne-Mumford stack of finite type over a field $k$ with trivial generic stabilizer, it is completely determined by its coarse space $X$ and the ramification divisor (on $X$) of the coarse space morphism $\pi\colon \mathcal X \to X$. Therefore, to specify such a stack, it is enough to specify a variety and the orders of the stabilizers of codimension 1 points. The group structures, as well as the stabilizer groups of higher codimension points, are then determined.
14 citations