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ALGEBRAICHESKIE KRIVYE PO NAPRAVLENIYU K PROSTRANSTVAM MODULEI - ALGEBRAIC CURVES ... TOWARDS MODULI SPACES: towards moduli spaces by Maxim E. Kazaryan, Sergei K. Lando, Victor V. Prasolov is a nonfiction available to read on EtoBox.
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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. The book 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
Who reads ALGEBRAICHESKIE KRIVYE PO NAPRAVLENIYU K PROSTRANSTVAM MODULEI - ALGEBRAIC CURVES ... TOWARDS MODULI SPACES: towards moduli spaces?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Maxim E. Kazaryan, Sergei K. Lando, Victor V. Prasolov
- Publisher
- Springer International Publishing : Imprint: Springer
- Published
- 2019
- Language
- EN
- ISBN
- 9783030029425
- Category
- nonfiction
- Subjects
- Mathematics, Geometry And Topology, Stem
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