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標(biāo)題: Titlebook: Basic Algebraic Geometry; Igor R. Shafarevich Book 19741st edition Springer-Verlag Berlin Heidelberg 1974 Algebraic.Basic.Manifold.algebra [打印本頁]

作者: 珍愛    時間: 2025-3-21 17:18
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作者: 沒收    時間: 2025-3-21 23:41
Intersection Indices true only if we count each root with its multiplicity. Similarly, to formulate general theorems on the number of points of intersection of subvarieties, we ought to assign certain multiplicities to these points. This will be done in the present subsection.
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Heidelberger Gelehrtenlexikon 1386–1651ly, the genus is a most important invariant of an algebraic curve, however, it does not determine the curve by any means. We have seen in Ch. III, § 5.6, that there exist very many non-isomorphic curves of one and the same genus. The connection between a variety . and the space .(?) for varieties of higher dimensions bears a similar character.
作者: 明智的人    時間: 2025-3-22 20:55
Heinrich Krebs,Heinrich Schippergesn the study of quasiprojective varieties with which we have been concerned previously. On the other hand, we arrive in this way at a generalization of this concept, which makes the field of applicability of algebraic geometry far more extensive.
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Divisors and Differential Formsnts ., …, . ∈ . with multiplicities ., …, .. A rational function .(.) = .(.)/.(.), ., . ∈ .[.] is determined by the zeros of the polynomials . and ., that is, by the points at which it vanishes or is non-regular. To distinguish the roots of . from those off we take their multiplicities with a minus
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作者: 巨頭    時間: 2025-3-24 05:28
0172-6234 Overview: 978-3-540-08264-4978-3-642-96200-4Series ISSN 0172-6234
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作者: Encapsulate    時間: 2025-3-24 20:20
Heinrich Krebs,Heinrich Schipperges from a more general and invariant point of view. This leads us, on the one hand, to new concepts and methods, which are exceptionally fruitful even in the study of quasiprojective varieties with which we have been concerned previously. On the other hand, we arrive in this way at a generalization of
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作者: Noisome    時間: 2025-3-25 06:27
Heidelberger Gelehrtenlexikon 1386–1651mplex numbers ?. The example of smooth projective curves shows to what extent this space characterizes the variety .. We have shown that in this case the only invariant of .(?) is the genus of .. We can say, therefore, that the genus is the only topological invariant of a projective curve. Undoubted
作者: 血友病    時間: 2025-3-25 08:26
https://doi.org/10.1007/978-3-642-96200-4Algebraic; Basic; Manifold; algebra; function; geometry; mathematics
作者: EXUDE    時間: 2025-3-25 11:53
978-3-540-08264-4Springer-Verlag Berlin Heidelberg 1974
作者: 眼界    時間: 2025-3-25 17:30
https://doi.org/10.1007/978-3-663-01112-5The first chapter is concerned with a number of fundamental concepts of algebraic geometry. In the first section we analyse some examples, which prepare us for the introduction of these concepts.
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作者: 半球    時間: 2025-3-26 02:26
Alphabetisches Verzeichnis der Professoren,In this chapter we consider schemes that are more closely connected with quasiprojective varieties. These schemes are called algebraic varieties. It is precisely this concept that we arrive at in trying to give an invariant definition of an algebraic variety.
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作者: 爭吵加    時間: 2025-3-26 16:53
VarietiesIn this chapter we consider schemes that are more closely connected with quasiprojective varieties. These schemes are called algebraic varieties. It is precisely this concept that we arrive at in trying to give an invariant definition of an algebraic variety.
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Springer Study Editionhttp://image.papertrans.cn/b/image/180948.jpg
作者: 卡死偷電    時間: 2025-3-27 06:37
Topology of Algebraic Varieties. In Ch. II this was shown for quasiprojective varieties, the only ones at our disposal at that moment. But these arguments remain valid for arbitrary varieties. Presently we shall give a general definition. The topology that determines on . a given structure of a scheme is called the . topology.
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作者: 杠桿    時間: 2025-3-27 23:41
Book 2022multiculturalism and cultural identity, set against the current backdrop of growing social stratification and unequal access to quality education. It addresses current discourses concerning globalisation, ideologies and the state, as well as approaches to constructing national, ethnic and religious
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0302-9743 rom 144 initial submissions. The OTM program every year covers data and Web semantics, distributed objects, Web services, databases, information systems, enterprise workflow and collaboration, ubiquity, interoperability, mobility, grid and high-performance computing..978-3-319-26147-8978-3-319-26148-5Series ISSN 0302-9743 Series E-ISSN 1611-3349
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https://doi.org/10.1007/b137966ubtle morphological and biochemical differences exist, the underlying genetic basis for this plasticity is not known. Indeed, very few single nucleotide differences have been detected among isolates and the only documented high variable sequences are associated with variable number tandem repeated (
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