標(biāo)題: Titlebook: Algebraic Curves; Towards Moduli Space Maxim E. Kazaryan,Sergei K. Lando,Victor V.‘Prasol Textbook 2018 Springer Nature Switzerland AG 2018 [打印本頁] 作者: deduce 時間: 2025-3-21 19:10
書目名稱Algebraic Curves影響因子(影響力)
書目名稱Algebraic Curves影響因子(影響力)學(xué)科排名
書目名稱Algebraic Curves網(wǎng)絡(luò)公開度
書目名稱Algebraic Curves網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Algebraic Curves被引頻次
書目名稱Algebraic Curves被引頻次學(xué)科排名
書目名稱Algebraic Curves年度引用
書目名稱Algebraic Curves年度引用學(xué)科排名
書目名稱Algebraic Curves讀者反饋
書目名稱Algebraic Curves讀者反饋學(xué)科排名
作者: Rankle 時間: 2025-3-21 21:22
Moscow Lectureshttp://image.papertrans.cn/a/image/152569.jpg作者: 雪上輕舟飛過 時間: 2025-3-22 00:40 作者: Charade 時間: 2025-3-22 07:36 作者: irreparable 時間: 2025-3-22 10:12
Framing Health Security Decisions,nsional space there is much more freedom. However, to define curves in . and higher dimensional projective spaces is more difficult than in the plane. In this chapter, we discuss methods of defining such curves.作者: 形狀 時間: 2025-3-22 15:27 作者: ALIBI 時間: 2025-3-22 20:21
Theodore J. Stein,Tina L. Rzepnicki: given a curve, are there other line bundles over it? For instance, in the case of elliptic curves, all line bundles mentioned above are trivial, so this question means, in particular, whether there are nontrivial line bundles over a given elliptic curve.作者: confide 時間: 2025-3-22 23:23
Decision Making in Healthcare Systemsng into details, one of the possible methods of carrying out such a construction. We will describe the general sequence of steps; numerous results justifying it are either stated without proofs or left as exercises.作者: NEXUS 時間: 2025-3-23 03:11 作者: Pillory 時間: 2025-3-23 05:55
Complex Structure and the Topology of Curves,urface, the topology is uniquely determined by its genus (or, equivalently, its Euler characteristic). However, along with a topological structure, a curve has a complex structure. It singles out analytic functions among all the functions on the curve.作者: 補助 時間: 2025-3-23 13:15
Curves in Projective Spaces,nsional space there is much more freedom. However, to define curves in . and higher dimensional projective spaces is more difficult than in the plane. In this chapter, we discuss methods of defining such curves.作者: foreign 時間: 2025-3-23 16:01
Differential 1-Forms on Curves,ean primarily spaces of meromorphic functions, vector fields, and differential forms. These spaces are endowed with natural algebraic structures, which allows one to express properties of curves in algebraic terms.作者: habile 時間: 2025-3-23 21:00 作者: 品嘗你的人 時間: 2025-3-24 00:16 作者: Confirm 時間: 2025-3-24 02:59
Exam Problems,hematics of the Higher School of Economics in 2010–2014. Most of these problems were given as exercises in the main text, and we have collected them here for the reader’s convenience. Along with problems, we also give a list of exam questions.作者: florid 時間: 2025-3-24 06:41
https://doi.org/10.1007/978-3-030-98132-7Algebraic curves are curves given by polynomial equations in projective spaces. On the other hand, algebraic curves are one-dimensional complex manifolds, and to define them, there is no need to embed them anywhere. We will consider various ways to define curves and discuss how one can decide whether they result in the same curve.作者: Diaphragm 時間: 2025-3-24 10:55
https://doi.org/10.1007/978-3-642-25544-1The Riemann–Roch theorem establishes a relationship between two numbers: the dimension .(.) of the vector space .(.) of meromorphic functions with divisor ≥?. and the dimension .(.) of the space ..(.) of meromorphic 1-forms with divisor ≥?..作者: intoxicate 時間: 2025-3-24 16:15
Decision Making in Complex Systems,In the first section of this chapter, we give a proof of the Riemann–Roch formula .(.)???.(.???.)?=?.???.?+?1. In the second section, we present a geometric interpretation of the quantities occurring in the Riemann–Roch formula in terms of canonical curves.作者: 準(zhǔn)則 時間: 2025-3-24 20:30 作者: constitutional 時間: 2025-3-25 00:59 作者: expeditious 時間: 2025-3-25 06:13 作者: crockery 時間: 2025-3-25 07:36
,Proof of the Riemann–Roch Formula,In the first section of this chapter, we give a proof of the Riemann–Roch formula .(.)???.(.???.)?=?.???.?+?1. In the second section, we present a geometric interpretation of the quantities occurring in the Riemann–Roch formula in terms of canonical curves.作者: 激怒 時間: 2025-3-25 15:30
Stable Curves,In the previous chapter, we introduced the notion of a stable rational curve with marked points. The (modular) stability of a curve means that it has a finite group of automorphisms.作者: maculated 時間: 2025-3-25 16:13
https://doi.org/10.1007/978-3-030-02943-2algebraic curves; Riemann-Roch theorem; Weierstrass points; Abel theorem; moduli spaces; compactification作者: ABASH 時間: 2025-3-25 22:14 作者: stressors 時間: 2025-3-26 03:09
Decision Making for Energy Futuresann surface is a two-dimensional oriented surface; its topological properties are uniquely determined by a nonnegative integer, the genus. At the same time, individual characteristics of algebraic curves are complicated, and two different curves, even of the same genus, usually bear little resemblan作者: 有雜色 時間: 2025-3-26 05:50
Framing Health Security Decisions,urface, the topology is uniquely determined by its genus (or, equivalently, its Euler characteristic). However, along with a topological structure, a curve has a complex structure. It singles out analytic functions among all the functions on the curve.作者: Substitution 時間: 2025-3-26 08:55
Framing Health Security Decisions,nsional space there is much more freedom. However, to define curves in . and higher dimensional projective spaces is more difficult than in the plane. In this chapter, we discuss methods of defining such curves.作者: 改正 時間: 2025-3-26 13:18 作者: 冒失 時間: 2025-3-26 17:43
Waymond Rodgers,Timothy G McFarlinnto other complex curves, first of all, one-to-one mappings from a complex curve to itself, i.e., automorphisms of a curve. All automorphisms of a given curve form a group. For a curve of genus 0 (projective line), this group is three-dimensional. For any curve of genus 1 (elliptic curve), it is one作者: 可卡 時間: 2025-3-26 22:53 作者: Cumbersome 時間: 2025-3-27 03:12
Theodore J. Stein,Tina L. Rzepnicki: given a curve, are there other line bundles over it? For instance, in the case of elliptic curves, all line bundles mentioned above are trivial, so this question means, in particular, whether there are nontrivial line bundles over a given elliptic curve.作者: 平淡而無味 時間: 2025-3-27 07:00 作者: pacific 時間: 2025-3-27 10:27 作者: Generic-Drug 時間: 2025-3-27 16:39 作者: 最高峰 時間: 2025-3-27 18:45
Decision Making in Healthcare Systemsng into details, one of the possible methods of carrying out such a construction. We will describe the general sequence of steps; numerous results justifying it are either stated without proofs or left as exercises.作者: 我的巨大 時間: 2025-3-28 01:35 作者: 貪婪性 時間: 2025-3-28 04:33
Springer Series in Advanced Manufacturingses are a universal tool for computing topological characteristics of algebraic varieties, both smooth and singular. We begin with discussing definitions and general properties of Chern classes of vector bundles, and then show how one can use them to obtain some results we already know and their gen作者: 的事物 時間: 2025-3-28 09:33
Springer Series in Advanced Manufacturingmap was introduced by Kontsevich. He applied it to solving the classical problem of enumerating rational curves of a given degree in the plane passing through a given collection of points. The methods suggested by Kontsevich turned out to be applicable to a wide circle of problems of enumerative geo作者: ADJ 時間: 2025-3-28 13:03 作者: Arbitrary 時間: 2025-3-28 17:21 作者: 沒有貧窮 時間: 2025-3-28 21:34 作者: NATTY 時間: 2025-3-29 00:51 作者: fatty-acids 時間: 2025-3-29 06:39
Examples of Moduli Spaces,terms” already for curves of small genus, and these properties are highly nontrivial. As the genus grows, the geometry of the moduli space becomes complicated, and a complete description of this space is usually beyond reach. Nevertheless, one can compute many important geometric characteristics of moduli spaces of curves of high genus.作者: inflate 時間: 2025-3-29 10:02
Decision Making for Energy Futuresce to each other. However, if we look at curves not one by one, but in ., it turns out that such families have a relatively simple structure and many remarkable properties, which find various applications in mathematics and theoretical physics. It is the transition from individual curves to families of curves that is the topic of the course.作者: Euphonious 時間: 2025-3-29 13:32
Waymond Rodgers,Timothy G McFarlinf dual curves having only points of transversal self-intersection and cusps form an open subset in the space of pairs of dual curves of given degrees, which makes it natural to study such pairs. Plücker formulas are relations on the number of singularities of various types for a pair of dual curves of given degrees.作者: PALMY 時間: 2025-3-29 18:31
Waymond Rodgers,Timothy G McFarlin-dimensional. For curves of higher genus it is finite, and for curves of genus .?>?2 it usually consists only of the identity mapping. Curves with a large symmetry group are of special interest: like any symmetric object, they can be very beautiful.作者: 引起 時間: 2025-3-29 23:15 作者: 細(xì)節(jié) 時間: 2025-3-30 02:54
Textbook 2018on has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well..The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often pr作者: 叢林 時間: 2025-3-30 06:21
2522-0314 the very beginning, the study of algebraic curves is aimed a.This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, includi作者: 僵硬 時間: 2025-3-30 11:18 作者: 與野獸博斗者 時間: 2025-3-30 14:06
Michael R. Gottfredson,Don M. Gottfredsonof divisors of the same degree is endowed with additional structures. It must be a topological space and, moreover, a complex variety. Abel’s theorem identifies the space of classes of divisors of zero degree on a curve of genus . with a .-dimensional complex torus, the Jacobian of the curve.作者: dry-eye 時間: 2025-3-30 17:49
Filiz M?zrak,Gonca Reyhan Akkartalifferent compactifications, but only few of them are convenient to work with. In contrast to higher genera, the moduli space . is a smooth manifold rather than orbifold. This property simplifies a bit investigation of moduli spaces in genus 0 case.作者: Malaise 時間: 2025-3-30 23:03
Springer Series in Advanced Manufacturingons and general properties of Chern classes of vector bundles, and then show how one can use them to obtain some results we already know and their generalizations. In the next chapter, we will speak about characteristic classes that arise naturally in the study of the topology of moduli spaces of curves.作者: Cpap155 時間: 2025-3-31 01:07 作者: single 時間: 2025-3-31 06:35
Weierstrass Points,ith special properties. This method, due to Weierstrass, also singles out a finite set of special points on every curve. This set is closely related to the set of fixed points of nontrivial automorphisms, but does not in general coincide with it. In particular, Weierstrass points on a curve do exist even if it has no nontrivial automorphisms.作者: Pander 時間: 2025-3-31 09:24
,Abel’s Theorem,of divisors of the same degree is endowed with additional structures. It must be a topological space and, moreover, a complex variety. Abel’s theorem identifies the space of classes of divisors of zero degree on a curve of genus . with a .-dimensional complex torus, the Jacobian of the curve.作者: 古文字學(xué) 時間: 2025-3-31 13:52 作者: 壓倒 時間: 2025-3-31 19:27
A Backward Look from the Viewpoint of Characteristic Classes,ons and general properties of Chern classes of vector bundles, and then show how one can use them to obtain some results we already know and their generalizations. In the next chapter, we will speak about characteristic classes that arise naturally in the study of the topology of moduli spaces of curves.作者: resistant 時間: 2025-3-31 23:39
Moduli Spaces of Stable Maps, through a given collection of points. The methods suggested by Kontsevich turned out to be applicable to a wide circle of problems of enumerative geometry, being now the main tool for computing Gromov–Witten invariants.作者: 占線 時間: 2025-4-1 03:30
