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Titlebook: Geometry of Algebraic Curves; Volume II with a con Enrico Arbarello,Maurizio Cornalba,Phillip A. Grif Textbook 2011 Springer-Verlag Berlin

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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
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978-3-662-50620-2Springer-Verlag Berlin Heidelberg 2011
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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
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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
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