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

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書目名稱Algebraic Geometry影響因子(影響力)




書目名稱Algebraic Geometry影響因子(影響力)學(xué)科排名




書目名稱Algebraic Geometry網(wǎng)絡(luò)公開度




書目名稱Algebraic Geometry網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Algebraic Geometry被引頻次




書目名稱Algebraic Geometry被引頻次學(xué)科排名




書目名稱Algebraic Geometry年度引用




書目名稱Algebraic Geometry年度引用學(xué)科排名




書目名稱Algebraic Geometry讀者反饋




書目名稱Algebraic Geometry讀者反饋學(xué)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

北極人

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

絆住

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