Titlebook: Classification of Higher Dimensional Algebraic Varieties; Christopher D. Hacon,Sándor Kovács Textbook 2010 Birkhäuser Basel 2010 Dimension

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https://doi.org/10.1057/9781137271372e of these spaces. Moduli theory strives to understand how algebraic varieties deform and degenerate. When studying moduli spaces we are interested in the geometry of the moduli space that reflects the behavior of the families parameterized by the given moduli space. In other words, we are intereste

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https://doi.org/10.1007/978-3-0346-0290-7Dimension; Divisor; Grad; algebraic geometry; algebraic varieties; minimal model; moduli space; projective

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978-3-0346-0289-1Birkhäuser Basel 2010

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1661-237X pics such as representing and moduli functors, Hilbert schemes, the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type.The book is aimed at advanced graduate students and researchers in algebraic geometry.978-3-0346-0289-1978-3-0346-0290-7Series ISSN 1661-237X Series E-ISSN 2296-5041

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Textbook 2010led account of recent results in the minimal model program. In particular, it contains a complete proof of the theorems on the existence of flips, on the existence of minimal models for varieties of log general type and of the finite generation of the canonical ring. The second part is an introducti