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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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Nyamjav Sumberzul,Shagdarsuren OyunbilegIn this Chapter we will recall the definition and the main properties of multiplier ideal sheaves. The standard reference for multiplier ideal sheaves is [ Laz04b]. In what follows we will focus on a generalization of this notion known as adjoint ideals.
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https://doi.org/10.1057/9781137291646 . - 1. . π: . → . Δ . ℚ-. = [Δ] . ℚ-. ≥ 0, (.,Δ) ., (., Ω +A. . Ω = (A + B)|., . .(. + Δ) . > 0 .
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Researching Intercultural LearningIn 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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Researching Intercultural Learning Theorems 5.59, 5.60 in dimensions ≤ n - 1 and Theorems 5.56, 5.57, 5.58 in dimensions ≤ n imply Theorem 5.59 (1) in dimension n.
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International Pedagogical StructuresThroughout this section we will use the notation for the pull-back of a sheaf introduced in (2.15).
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Conceptualisations of Intimacy,In this chapter we will recall a few results regarding singularities that occur on stable varieties, that is, singularities of the objects that appear on the boundary of the moduli spaces we discussed in the previous chapter.
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SingularitiesFor an excellent introduction to this topic the reader is urged to take a thorough look at Miles Reid’s . [Rei87]. Here we will only briefly touch on the subject.
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