標(biāo)題: Titlebook: Intersection Theory; William Fulton Book 1998Latest edition Springer-Verlag Berlin Heidelberg 1998 Chern class.Division.Divisor.Equivalenc [打印本頁] 作者: CURD 時間: 2025-3-21 16:55
書目名稱Intersection Theory影響因子(影響力)
書目名稱Intersection Theory影響因子(影響力)學(xué)科排名
書目名稱Intersection Theory網(wǎng)絡(luò)公開度
書目名稱Intersection Theory網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Intersection Theory被引頻次
書目名稱Intersection Theory被引頻次學(xué)科排名
書目名稱Intersection Theory年度引用
書目名稱Intersection Theory年度引用學(xué)科排名
書目名稱Intersection Theory讀者反饋
書目名稱Intersection Theory讀者反饋學(xué)科排名
作者: tic-douloureux 時間: 2025-3-21 21:52
Book 1998Latest editiono centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the str作者: bleach 時間: 2025-3-22 00:46 作者: 殘酷的地方 時間: 2025-3-22 07:12
Book 1998Latest editionetry. Fulton‘s introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.作者: 形上升才刺激 時間: 2025-3-22 09:17
braic geometry. Fulton‘s introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.978-0-387-98549-7978-1-4612-1700-8作者: Aspiration 時間: 2025-3-22 14:19 作者: CRP743 時間: 2025-3-22 17:57 作者: COWER 時間: 2025-3-23 00:49 作者: 過份 時間: 2025-3-23 02:09 作者: biopsy 時間: 2025-3-23 06:42
William Fultoniesen, wie sie in den Fachwissenschaften herrscht. Da? diese Erkenntnis leistungsf?hig genug ist, beweisen die gro?en Erfolge, welche die Fachwissenschaften mit ihr erzielt haben. Worin besteht nun diese Erkenntnisweise? Was ist für sie wesentlich? Eine Weltansicht soll Grunds?tzliches über die Welt作者: LANCE 時間: 2025-3-23 12:28 作者: 酷熱 時間: 2025-3-23 13:59
William Fulton LeserIn, eine eigene Position zu entwickeln.Die zweite AuflWelche Art von Gegenst?nden untersucht die Mathematik und in welchem Sinne existieren diese Gegenst?nde? Warum dürfen wir die Aussagen der Mathematik zu unserem Wissen z?hlen und wie lassen sich diese Aussagen rechtfertigen??.Eine Philosoph作者: Debark 時間: 2025-3-23 19:40
William Fulton LeserIn, eine eigene Position zu entwickelnWelche Art von Gegenst?nden untersucht die Mathematik und in welchem Sinne existieren diese Gegenst?nde? Warum dürfen wir die Aussagen der Mathematik zu unserem Wissen z?hlen und wie lassen sich diese Aussagen rechtfertigen??.Eine Philosophie der Mathemati作者: 座右銘 時間: 2025-3-24 01:43 作者: 極小 時間: 2025-3-24 04:02 作者: discord 時間: 2025-3-24 08:18
Introduction,arieties of a non-singular variety ., the intersection product . should be an equivalence class of algebraic cycles closely related to the geometry of how .∩., . and . are situated in . Two extreme cases have been most familiar. If the intersection is ., i.e., dim (.∩. dim . + dim . dim .,then . · .作者: 協(xié)奏曲 時間: 2025-3-24 11:41 作者: Largess 時間: 2025-3-24 15:53
Divisors,. a subvariety, . [.] is defined by one of two procedures: (i) if.,. restricts to a Cartier divisor on ., and D · [.] is defined to be the associated Weil divisor of this restriction; (ii) if.,the restriction of the line bundle.to . is the line bundle of a well-defined linear equivalence class of Ca作者: cushion 時間: 2025-3-24 19:34
Vector Bundles and Chern Classes,f line bundles done in § 2.5, we first construct inverse Chern classes, or Segre classes, which are then inverted to produce Chern classes. The first Chern class operations are also used to describe ... and ... in terms of ....Chern classes will be used later for one of the constructions of general 作者: Humble 時間: 2025-3-25 02:51 作者: 錢財 時間: 2025-3-25 06:41 作者: facetious 時間: 2025-3-25 09:19
Intersection Products,.. Although the case of primary interest is when . is a closed imbedding, so . = .∩., there is significant benefit in allowing general morphisms . Let . be the induced morphism. The normal cone C..to . in . is a closed subcone of ..., of pure dimension . We define . to be the result of intersecting 作者: peptic-ulcer 時間: 2025-3-25 15:34 作者: Accord 時間: 2025-3-25 17:28 作者: 臭名昭著 時間: 2025-3-25 22:23 作者: 牙齒 時間: 2025-3-26 00:49
Families of Algebraic Cycles,ally equivalent . 1)-cycles on . determine rationally equivalent k-cycles in each fibre. The basic operations of intersection theory preserve algebraic families. For example, if . is smooth over ., and {α.} and {β.} are algebraic families of cycles, then the intersection products .. · .., also vary 作者: 使堅硬 時間: 2025-3-26 08:05
Dynamic Intersections, W, and .?. the normal cone to . in . In Chap. 6 the intersection class . in ..(.) has been constructed to be.where ....is the zero-section..If X . Y is imbedded in a family ... x . of regular imbeddings, with . a non-singular curve, 0 ∈ T, X. = ., and . ? . x . is a deformation of ., then there is 作者: Ossification 時間: 2025-3-26 08:42 作者: Fortuitous 時間: 2025-3-26 13:50 作者: 雪上輕舟飛過 時間: 2025-3-26 18:55 作者: 下垂 時間: 2025-3-26 21:59 作者: 無畏 時間: 2025-3-27 03:45
Correspondences,graph of a rational map, are basic examples, but more general correspondences have played an important role in the development of algebraic geometry. On complete non-singular varieties correspondences have a product ? ° α, and a correspondence .determines homomorphisms α.from . to ., and α. from . t作者: 鞭打 時間: 2025-3-27 05:32 作者: myalgia 時間: 2025-3-27 13:09
Riemann-Roch for Singular Varieties,f a closed subset . This produces a localized Chern character. ch.(.) which lives in the bivariant group.For each class α∈..., this gives a class.whose image in. is.The properties needed for Riemann-Roch, in particular the invariance under rational deformation, follow from the bivariant nature of ch作者: 指數(shù) 時間: 2025-3-27 15:39 作者: 死亡 時間: 2025-3-27 20:02 作者: Ejaculate 時間: 2025-3-27 21:55 作者: Conjuction 時間: 2025-3-28 05:57 作者: 友好 時間: 2025-3-28 08:19
William Fulton die Philosophie der Mathematik nachzudenken und eine eigene Position zu formulieren und für diese zu argumentieren. .Die zweite Auflage ist vollst?ndig durchgesehen und um ein Kapitel zum Idealismus erg?nzt.?.978-3-662-63713-5978-3-662-63714-2作者: ATOPY 時間: 2025-3-28 12:15 作者: Bernstein-test 時間: 2025-3-28 18:34 作者: Certainty 時間: 2025-3-28 19:44
William Fultone der Naturgeselle, welche Zusammenh?nge zwischen bestimmten Arten von Vorg?ngen oder Zust?nden festlegen. Was uns ein Bild im Mikroskop zeigt, k?nnen wir deshalb als die Zellen-Struktur eines Gewebes betrachten, die in einem Pflanzenoder K?rperteil wirklich vorhanden ist, obwohl sie mit blo?em Auge作者: 凈禮 時間: 2025-3-29 01:20 作者: compel 時間: 2025-3-29 06:12
William Fultone der Naturgesetze, welche Zusammenh?nge zwischen bestimmten Arten von Vorg?ngen oder Zust?nden festlegen. Was uns ein Bild im Mikroskop zeigt, k?nnen wir deshalb als die ZellenStruktur eines Gewebes betrachten, die in einem Pflanzenoder K?rperteil wirklich vorhanden ist, obwohl sie mit blo?em Auge 作者: Generic-Drug 時間: 2025-3-29 11:19 作者: 蚊帳 時間: 2025-3-29 13:25
William Fultoner Mathematik argumentieren. Solche Argumente bilden den zweiten Schwerpunkt dieses Buchs.? Das Buch soll den Leser dazu anregen, über die Philosophie der Mathematik nachzudenken und eine eigene Position zu formulieren und für diese zu argumentieren. .978-3-662-59555-8作者: accrete 時間: 2025-3-29 16:54
William Fulton, z. B. von I cm. Querschnitt und I cm L?nge, so kann man die elastische Kraft verschiedener Materialien miteinander vergleichen, indem man die Verl?ngerung aus ihnen hergestellter F?den unter Einwirkung der gleichen Kraft feststellt. Die einwirkende Kraft, ausgedrückt in Dynen, dividiert durch die 作者: Overstate 時間: 2025-3-29 23:47 作者: Urgency 時間: 2025-3-30 00:31 作者: 匍匐 時間: 2025-3-30 06:30 作者: Cumbersome 時間: 2025-3-30 11:41
Vector Bundles and Chern Classes,singular vector bundles” — there is a natural analogue of Segre classes, but not Chern classes. Segre classes for normal cones have other remarkable properties not shared by Chern classes (cf. § 4.2).作者: CON 時間: 2025-3-30 12:47
Cones and Segre Classes,back..Segre classes arise naturally in many areas of algebraic geometry. Some of these occurrences are discussed in the examples and in the last two sections, which are not required for later chapters.作者: Outwit 時間: 2025-3-30 18:05
Intersection Products,gular of codimension ., then ....... is the quotient bundle, there is an excess intersection formula.Given . as above, and a morphism ., form the fibre square.There are refined Gysin homomorphisms. determined by the formula i.[.] = .·. for subvarieties .of Y’..In this chapter the fundamental propert作者: 模仿 時間: 2025-3-31 00:14
Intersections on Non-singular Varieties,ersection products and multiplicities follow readily from the general properties proved in Chaps. 6 and 7..Bézout’s theorem, in its simplest form, states that.where . is the class of a hyperplane. A deeper analysis of intersections on projective space will be given in Chap. 12.作者: indemnify 時間: 2025-3-31 02:59 作者: 滑動 時間: 2025-3-31 08:19
Families of Algebraic Cycles,an algebraic family of zero-cycles, on a scheme which is proper over the parameter space, all the cycles have the same degree. Second, as mentioned above, the operations of intersection theory preserve algebraic families..Refined intersection theory yields an improvement over classical formulations 作者: 尖 時間: 2025-3-31 10:57
Dynamic Intersections,l data..This allows a dynamic interpretation for the distinguished varieties and their equivalences, which can be useful for calculations. For any closed subset . of ., let (.). be the part of . supported on . (§ 6.1). If ... is generated by its sections, there is an open set . (Z) of sections such 作者: Torrid 時間: 2025-3-31 14:32
Positivity, theorem follows:.,.where the Z. are the distinguished varieties; all irreducible components of ∩. V. are included among the Z...There are also applications to intersection multiplicities. For example, if…, V. meet properly at a non-singular point . of an n-dimensional variety ., and.are the blow-up作者: Proclaim 時間: 2025-3-31 20:01
Rationality,e, i.e. . is proper over the ground field ., and α ..... is a 0-cycle on ., the degree of a is the sum.where . is the residue field of at ., and . is the degree of the field extension. Rationally equivalent 0-cycles have the same degree (§ 1.4)..For example, if is the field of real numbers (or an ar作者: Coterminous 時間: 2025-4-1 01:23 作者: crumble 時間: 2025-4-1 03:34 作者: 致詞 時間: 2025-4-1 07:57 作者: maculated 時間: 2025-4-1 12:14
Bivariant Intersection Theory,ariant classes symbolically with a freedom one is accustomed to with homology and cohomology in topology..Many constructions of previous chapters actually produce classes in appropriate bivariant groups. For example, Chern classes of vector bundles on . live in ...Flat and l.c.i. morphisms . determi作者: 破譯密碼 時間: 2025-4-1 17:12
Hülfe deutscher Kreuzheere ausfocht, w?hrend sich die Preu?en lange Zeit nicht einmal zu einem gemeinsamen Widerstande vereinigten, sp?ter aber auch wirksam unterstützt wurden, erst von dem Herzog Swantepolk von Hinterpommern und dann von den Litauern. Schlie?lich war Preu?en dem Orden v?llig unterw
