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

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Finite generation of the restricted algebra . - 1. . π: . → . Δ . ℚ-. = [Δ] . ℚ-. ≥ 0, (.,Δ) ., (., Ω +A. . Ω = (A + B)|., . .(. + Δ) . > 0 .
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Non-vanishingIn this chapter we will prove that Theorems 5.56, 5.57, 5.58, 5.59, 5.60 in dimensions ≤ . - 1 and Theorems 5.56, 5.57 in dimensions ≤ . imply Theorem 5.58 in dimension .. We begin by recalling the following results from [Nak04].
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Moduli problemsLet Sets denote the category of sets and Cat an arbitrary category. Further let . be a contravariant functor. Recall that . is . if there is an object . ∈ Ob Cat such that . ≃ Hom.(_,.). If such an . exists, it is called a . or a . for ..
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Hilbert schemesThroughout this section we will use the notation for the pull-back of a sheaf introduced in (2.15).
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The construction of the moduli spaceThere are several properties a moduli functor needs to satisfy in order for it to admit a (coarse) moduli space cf. (1.A.8). We will discuss some of these in more detail. The first one is ..
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