Titlebook: Algebraic Geometry; Part I: Schemes. Wit Ulrich Görtz,Torsten Wedhorn Textbook 20101st edition Vieweg+Teubner Verlag | Springer Fachmedien

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书目名称Algebraic Geometry影响因子(影响力)




书目名称Algebraic Geometry影响因子(影响力)学科排名




书目名称Algebraic Geometry网络公开度




书目名称Algebraic Geometry网络公开度学科排名




书目名称Algebraic Geometry被引频次




书目名称Algebraic Geometry被引频次学科排名




书目名称Algebraic Geometry年度引用




书目名称Algebraic Geometry年度引用学科排名




书目名称Algebraic Geometry读者反馈




书目名称Algebraic Geometry读者反馈学科排名

congenial

小步走路

Schemes over fields, focus in this and the next chapter on the case of schemes of finite type over a field (although some of the definitions and results are formulated and proved in greater generality). In fact this is also an important building block for the study of arbitrary morphism of schemes . : . → . because we

Misgiving

Local Properties of Schemes,ffine space. Compare Figure 1.1: zooming in sufficiently, this is true for the pictured curve in all points except for the point where it self-intersects. However, while in differential geometry this can be used as the definition of a manifold, the Zariski topology is too coarse to capture appropria

北极人

Representable Functors,hat we obtain an embedding of the category of schemes into the category of such functors and thus we can consider schemes also as functors. Functors . that lie in the essential image of this embedding are called .. We say that a scheme . . . if .. It is one of the central problems within algebraic g

沉默

Bravura

Prevarieties,ynomial equations with coefficients in an arbitrary ring but as a motivation and a guide line we will assume in this chapter that our ring of coefficients is an algebraically closed field .. In this case the theory has a particularly nice geometric flavor.

scrutiny

绊住

John Peterson,Elizabeth Bombergundamental for all which follows. Schemes arise by “gluing affine schemes”, similarly as prevarieties are obtained by gluing affine varieties. Therefore after the preparations in the previous chapter, the definition is very simple, see (3.1). As for varieties we define projective space (3.6) by glui

flamboyant

An Introduction to the Theory of Games focus in this and the next chapter on the case of schemes of finite type over a field (although some of the definitions and results are formulated and proved in greater generality). In fact this is also an important building block for the study of arbitrary morphism of schemes . : . → . because we