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Titlebook: Algebraic Curves; Towards Moduli Space Maxim E. Kazaryan,Sergei K. Lando,Victor V.‘Prasol Textbook 2018 Springer Nature Switzerland AG 2018

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發(fā)表于 2025-3-21 19:10:04 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algebraic Curves
期刊簡稱Towards Moduli Space
影響因子2023Maxim E. Kazaryan,Sergei K. Lando,Victor V.‘Prasol
視頻videohttp://file.papertrans.cn/153/152569/152569.mp4
發(fā)行地址Leads a reader to far advanced topics widely used in modern research, using basic tools from the first two years of university studies.From the very beginning, the study of algebraic curves is aimed a
學科分類Moscow Lectures
圖書封面Titlebook: Algebraic Curves; Towards Moduli Space Maxim E. Kazaryan,Sergei K. Lando,Victor V.‘Prasol Textbook 2018 Springer Nature Switzerland AG 2018
影響因子.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, 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 proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces..Thebook does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass poi
Pindex Textbook 2018
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Moscow Lectureshttp://image.papertrans.cn/a/image/152569.jpg
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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.
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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.
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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.
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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.
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