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This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology.

代数几何学是数学中的重要分支之一,编码理论则是起源于工程技术的应用数学分支,本书是研究这两个分支的完美结合――代数几何码的一本专著。

It has developed from two sources: algebraic geometry and algebraic member theory.

它由两个方面发展而来,代数几何和代数数论。

Methods of algebraic geometry rely heavily on sheaf theory and other parts of homological algebra .

代数几何方法在很大程度上依赖束理论和其他地区的同调代数。

The parameters of codes on the curves over finite fields is always the important problem in algebraic geometry codes.

有限域上代数曲线上的码的参数问题一直是代数几何码研究中的重点问题。

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何,微分几何和代数几何中都发挥作用。

In this paper, we use some algebraic geometry methods to study the construction of χ-invariant algebras of some linear corresponding moduli space of these systems. Moreover, we completely determine the stable and semistable locus of these systems.

本文,我们以代数几何中的一些方法来研究某些线性动力系统的χ-不变代数的构造,并给出这类系统的相应的参量空间的刻划,进一步,完全决定了这类系统的稳定点、半稳定点的轨迹。

One has its origin in algebraic geometry, whereas the other one comes from differential geometry.

借助于它们上面的Hermitian度量我们可以定义两个模空间:一个联系着代数几何;一个联系着微分几何。

As thezeros of multivariate splines, the piecewise algebraic variety is a generalization of theclassical algebraic variety.

分片代数簇作为多元样条的公共零点集合,是经典代数簇的推广,它不仅和许多实际问题如多元样条插值,CAD和CAGD等有关,而且还为研究经典代数几何提供理论依据。

The classical work usually assumes the setting of complex projective space in favor of its algebraic closedness; thus the classical results cannot be applied directly to the setting of real projective space assumed in most CAD/CAM applications.

古典的代数几何方法对QSIC的分类在复空间进行,由于复空间的代数封闭性,在复空间对QSIC的分类已有非常完善的结果,但其分类结果不能直接应用于实空间中的CAD/CAM问题中。

David Eisenbud, Commutative Algebra with a view toward Algebraic Geometry

高级的代数几何、交换代数的参考书,最新的交换代数全面参考

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这一模式非常关注商人的网络信用基础。

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