標(biāo)題: Titlebook: Geometry of Algebraic Curves; Volume II with a con Enrico Arbarello,Maurizio Cornalba,Phillip A. Grif Textbook 2011 Springer-Verlag Berlin [打印本頁] 作者: 宣告無效 時(shí)間: 2025-3-21 19:02
書目名稱Geometry of Algebraic Curves影響因子(影響力)
書目名稱Geometry of Algebraic Curves影響因子(影響力)學(xué)科排名
書目名稱Geometry of Algebraic Curves網(wǎng)絡(luò)公開度
書目名稱Geometry of Algebraic Curves網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Geometry of Algebraic Curves被引頻次
書目名稱Geometry of Algebraic Curves被引頻次學(xué)科排名
書目名稱Geometry of Algebraic Curves年度引用
書目名稱Geometry of Algebraic Curves年度引用學(xué)科排名
書目名稱Geometry of Algebraic Curves讀者反饋
書目名稱Geometry of Algebraic Curves讀者反饋學(xué)科排名
作者: originality 時(shí)間: 2025-3-21 21:27
Cellular decomposition of moduli spaces,the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By equivariance, this provides orbicellular decompositions of the moduli spaces of pointed Riemann surfaces and of suitable compactifications.作者: tattle 時(shí)間: 2025-3-22 02:06
First consequences of the cellular decomposition,omology of moduli of smooth and stable curves. Based on the cellular decomposition, and following Kontsevich, we then give combinatorial expressions for the classes of the point bundles and for a volume form on moduli, which are both of central importance in the next chapter.作者: cavity 時(shí)間: 2025-3-22 06:39
,Ausblick auf weitere Zusammenh?nge,zation for families of nodal curves. We close the chapter by studying the topology of families of smooth curves degenerating to curves with nodes, and in particular by discussing, in this context, vanishing cycles and the Picard–Lefschetz transformation.作者: 命令變成大炮 時(shí)間: 2025-3-22 10:24
Regelung mit einem Integralregler (I)to find numerical inequalities among cycles in moduli spaces and, consequently, positivity results. Using the same techniques, we then prove the ampleness of Mumford’s class .., and hence the projectivity of ..作者: Triglyceride 時(shí)間: 2025-3-22 15:30 作者: Triglyceride 時(shí)間: 2025-3-22 20:33
Einführung in die Regelungstechniksible covers, we then treat the quotient representation of the compactified moduli spaces. In this case, in order to prove that the variety . is smooth at points of its boundary, the fundamental tool is the Picard–Lefschetz theory and the study of the local monodromy action.作者: Aqueous-Humor 時(shí)間: 2025-3-22 23:33
Einführung in die R?ntgenfeinstrukturanalyseof Witten’s conjecture. Following a brief review of equivariant cohomology, we then present Harer and Zagier’s computation of the virtual Euler–Poincaré characteristics of moduli spaces of smooth curves. We end the chapter with a very quick tour of Gromov–Witten invariants.作者: PACK 時(shí)間: 2025-3-23 02:47
Nodal curves,zation for families of nodal curves. We close the chapter by studying the topology of families of smooth curves degenerating to curves with nodes, and in particular by discussing, in this context, vanishing cycles and the Picard–Lefschetz transformation.作者: 排他 時(shí)間: 2025-3-23 06:58
Projectivity of the moduli space of stable curves,to find numerical inequalities among cycles in moduli spaces and, consequently, positivity results. Using the same techniques, we then prove the ampleness of Mumford’s class .., and hence the projectivity of ..作者: 鬼魂 時(shí)間: 2025-3-23 13:04 作者: Myosin 時(shí)間: 2025-3-23 13:58
Smooth Galois covers of moduli spaces,sible covers, we then treat the quotient representation of the compactified moduli spaces. In this case, in order to prove that the variety . is smooth at points of its boundary, the fundamental tool is the Picard–Lefschetz theory and the study of the local monodromy action.作者: 保留 時(shí)間: 2025-3-23 20:48
Intersection theory of tautological classes,of Witten’s conjecture. Following a brief review of equivariant cohomology, we then present Harer and Zagier’s computation of the virtual Euler–Poincaré characteristics of moduli spaces of smooth curves. We end the chapter with a very quick tour of Gromov–Witten invariants.作者: Diverticulitis 時(shí)間: 2025-3-23 22:15 作者: 懸崖 時(shí)間: 2025-3-24 04:08
Regelung mit einem Integralregler (I)se by interpreting the fundamental constructions of projection and clutching as morphisms of moduli spaces, and by observing that contraction and stabilization give an isomorphism of stacks between . and the “universal curve” . over ..作者: 公司 時(shí)間: 2025-3-24 08:24 作者: NICHE 時(shí)間: 2025-3-24 12:11 作者: 無關(guān)緊要 時(shí)間: 2025-3-24 18:24 作者: 格言 時(shí)間: 2025-3-24 22:02
https://doi.org/10.1007/978-3-663-16041-0the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By equivariance, this provides orbicellular decompositions of the moduli spaces of pointed Riemann surfaces and of suitable compactifications.作者: Herd-Immunity 時(shí)間: 2025-3-25 02:00
https://doi.org/10.1007/978-3-322-84987-8omology of moduli of smooth and stable curves. Based on the cellular decomposition, and following Kontsevich, we then give combinatorial expressions for the classes of the point bundles and for a volume form on moduli, which are both of central importance in the next chapter.作者: negligence 時(shí)間: 2025-3-25 04:36 作者: Diastole 時(shí)間: 2025-3-25 07:32 作者: ordain 時(shí)間: 2025-3-25 14:09 作者: animated 時(shí)間: 2025-3-25 19:44 作者: 專心 時(shí)間: 2025-3-25 20:13
The Hilbert Scheme,and illustrate several pathological behaviors of Hilbert schemes, focussing especially on the case of Hilbert schemes of curves. In particular, we present Mumford’s example of a Hilbert scheme of space curves which is everywhere non-reduced along one of its components.作者: PLIC 時(shí)間: 2025-3-26 03:24
Elementary deformation theory and some applications,es, and discuss the local Torelli problem. We close with a couple of loose ends, such as a study of the positivity properties of Hodge bundles and the proof of a theorem of Kempf on deformations of symmetric products of curves.作者: 歌唱隊(duì) 時(shí)間: 2025-3-26 06:01
Line bundles on moduli,urn to Mumford’s remarkable idea that the Grothendieck Riemann–Roch theorem can be effectively used to produce relations among classes in the moduli spaces of curves. Finally, as a first exemplification of the ideas introduced in the chapter, we determine the Picard group of the closure of the hyperelliptic locus in ..作者: NUL 時(shí)間: 2025-3-26 09:23
,Brill–Noether theory on a moving curve,i’s conjecture, which is the basic result that was announced in Chapter V of Volume I. The second part of the chapter is devoted to the projective realizations of algebraic curves as ramified covers of ?. and as plane curves, and to a number of unirationality results for moduli spaces in low genus.作者: 小平面 時(shí)間: 2025-3-26 14:00 作者: EVEN 時(shí)間: 2025-3-26 17:52 作者: Interferons 時(shí)間: 2025-3-26 22:14 作者: predict 時(shí)間: 2025-3-27 04:43
,Ausblick auf weitere Zusammenh?nge,eory of nodal curves, with or without marked points, and families thereof, we introduce the notions of stability and semistability, and prove the Stable Reduction Theorem for nodal curves. We then describe and study in detail the basic constructions of projection, contraction, clutching, and stabili作者: Hectic 時(shí)間: 2025-3-27 09:13
Einführung in die Regelungstechnik parameterizing all the stable curves that are “small perturbations” of it. After a general introduction to the deformation theory of smooth and nodal curves, this is achieved, in a precise sense, via the construction of the so-called Kuranishi family. The notion of Kuranishi family is central to th作者: 的事物 時(shí)間: 2025-3-27 13:08
Regelung mit einem Integralregler (I)construct . as an analytic space, and then we show that this analytic space has a natural structure of algebraic space. After a utilitarian introduction to orbifolds and stacks, in particular to Deligne–Mumford stacks, we then show that . is just a coarse reflection of a more fundamental object, the作者: GROWL 時(shí)間: 2025-3-27 15:55
Auswahl und Einstellung des Reglers,t. We introduce several natural bundles on moduli, including the Hodge bundle and the point bundles, and the stack divisors corresponding to the codimension one components of the boundary. We then discuss the theory of the determinant of the cohomology, which is well suited to producing line bundles作者: 牢騷 時(shí)間: 2025-3-27 19:14
Regelung mit einem Integralregler (I)st. The first one is Mumford’s geometric invariant theory. We prove the Hilbert–Mumford criterion of stability, and we use the criterion to prove the stability of the ν-log-canonically embedded smooth curves, viewed as points in the appropriate Hilbert scheme. We then use stability of smooth curves 作者: Negligible 時(shí)間: 2025-3-27 22:30 作者: falsehood 時(shí)間: 2025-3-28 05:27 作者: vertebrate 時(shí)間: 2025-3-28 08:26
https://doi.org/10.1007/978-3-663-16042-7arieties by a finite group. We then introduce the . classes, the Hodge classes, the point classes, and the boundary classes. Following Mumford, we establish relations among these classes via the flatness of the Gauss–Manin connection and via the Grothendieck–Riemann–Roch theorem. We then discuss the作者: 放氣 時(shí)間: 2025-3-28 10:29
https://doi.org/10.1007/978-3-663-16041-0 which we review in Sections 5 and 6. The cells of the decomposition are labelled by ribbon graphs, and the decomposition itself is equivariant under the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By 作者: Duodenitis 時(shí)間: 2025-3-28 15:59
https://doi.org/10.1007/978-3-322-84987-8 begin by showing that the rational homology of moduli of smooth curves vanishes in sufficiently high degree. From this, we compute the low degree cohomology of moduli of smooth and stable curves. Based on the cellular decomposition, and following Kontsevich, we then give combinatorial expressions f作者: Constrain 時(shí)間: 2025-3-28 21:04 作者: 中和 時(shí)間: 2025-3-29 01:25 作者: 女歌星 時(shí)間: 2025-3-29 04:57
978-3-662-50620-2Springer-Verlag Berlin Heidelberg 2011作者: 陳腐的人 時(shí)間: 2025-3-29 09:02 作者: CAPE 時(shí)間: 2025-3-29 14:56 作者: Ceremony 時(shí)間: 2025-3-29 19:08
0072-7830 nsive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. .The first volume appeared 1985 as vol. 267 of the same series..978-3-662-50620-2978-3-540-69392-5Series ISSN 0072-7830 Series E-ISSN 2196-9701 作者: 使饑餓 時(shí)間: 2025-3-29 22:38
The Hilbert Scheme,e parameterizing subschemes of a fixed projective space with a prescribed Hilbert polynomial. We also introduce and discuss several variants of the basic construction, such as relative Hilbert schemes, flag Hilbert schemes, Hilbert schemes of morphisms, and so on. A sizable part of the chapter is de作者: 雜役 時(shí)間: 2025-3-30 03:50 作者: Statins 時(shí)間: 2025-3-30 04:24 作者: reaching 時(shí)間: 2025-3-30 10:33
The moduli space of stable curves,construct . as an analytic space, and then we show that this analytic space has a natural structure of algebraic space. After a utilitarian introduction to orbifolds and stacks, in particular to Deligne–Mumford stacks, we then show that . is just a coarse reflection of a more fundamental object, the作者: harpsichord 時(shí)間: 2025-3-30 13:46
Line bundles on moduli,t. We introduce several natural bundles on moduli, including the Hodge bundle and the point bundles, and the stack divisors corresponding to the codimension one components of the boundary. We then discuss the theory of the determinant of the cohomology, which is well suited to producing line bundles作者: 詞匯記憶方法 時(shí)間: 2025-3-30 17:20 作者: 折磨 時(shí)間: 2025-3-30 23:31 作者: 迎合 時(shí)間: 2025-3-31 00:56
Smooth Galois covers of moduli spaces,act, since varieties of this kind, even when singular, have a naturally defined intersection theory. We describe this quotient representation, starting from the case of smooth curves where the constructions are considerably more transparent from a geometrical point of view. Using the theory of admis作者: obstruct 時(shí)間: 2025-3-31 08:56 作者: FAR 時(shí)間: 2025-3-31 11:05
Cellular decomposition of moduli spaces, which we review in Sections 5 and 6. The cells of the decomposition are labelled by ribbon graphs, and the decomposition itself is equivariant under the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By
