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

Arbitrary

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fatty-acids

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.

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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.

Euphonious

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.

PALMY

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.

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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

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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