In other kinds of moduli problems, one attempts to classify all curves, surfaces, or higher dimensional varieties of a certain type; another example is the space of all vector bundles of a given type over a fixed algebraic variety.
For higher dimensional varieties moduli theory works better if one considers varieties with moderate singularities, rather than smooth ones (see [256]), as we shall illustrate in the next sections for the case of algebraic surfaces.
Similar theorems hold also for higher dimensional varieties, see [256, 361], for the most recent developments, but we do not state here the results, which are more complicated and technical.
Gadd's comedy of degradation isn't without its pleasures, but they're mainly of the two-dimensional variety.
It may not be dead, but some are wondering whether animation's pulse -- at least that of the traditional, two-dimensional variety made by anyone other than Disney -- might be fading.
In this article, the minimum distance of the dual C⊥ of a functional code C on an arbitrary-dimensional variety X over a finite field Fq is studied.
This study aims to address this measurement deficiency and explore the SME innovation cooperation relationship by designing and utilising measures that capture both the multi-scalar (strength) and multi-dimensional (variety) nature of co-operation and innovation.
In general however a two-dimensional variety will be a curve.
Varieties The roots of any polynomial in x and y form a curve in the plane called a one-dimensional variety of degree that of the polynomial.
The roots of a polynomial in x, y and z form a surface in space called a two-dimensional variety, of degree that of the polynomial, just as for one-dimensional varieties.
curves by Beilinson and Drinfeld (American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004), to higher-dimensional varieties.
