Classification of Algebraic Varieties by Carel Faber, Gerard van der Geer, Eduard Looijenga

By Carel Faber, Gerard van der Geer, Eduard Looijenga

Interesting and dazzling advancements are occurring within the category of algebraic types. The paintings of Hacon and McKernan and so forth is inflicting a wave of breakthroughs within the minimum version application: we now recognize that for a soft projective style the canonical ring is finitely generated. those new effects and strategies are reshaping the sector. encouraged by way of this fascinating development, the editors equipped a gathering at Schiermonnikoog and invited prime specialists to jot down papers in regards to the fresh advancements. the result's the current quantity, a full of life testimony to the surprising advances that originate from those new rules. This quantity could be of curiosity to a variety of natural mathematicians, yet will allure specifically to algebraic and analytic geometers. A ebook of the eu Mathematical Society (EMS). dispensed in the Americas by means of the yank Mathematical Society.

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Linein. Sist. Konechno Porozhdennye Algebry, 220–239; translation in Proc. Steklov Inst. Math. 2003, no. 1 (240), 214–233. , Th´eorie de Hodge. II. Inst. Hautes Etudes Sci. Publ. Math. 40 (1971), 5–57. , Th´eorie de Hodge. III, Inst. Hautes Etudes Sci. Publ. Math. 44 (1974), 5–77. , Multiplier ideal sheaves and analytic methods in algebraic geometry. In School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000), 1–148, ICTP Lect. Notes 6, Abdus Salam Int. Cent. Theoret.

Singh, Cyclic covers of rings with rational singularities. Trans. Amer. Math. Soc. 355 (2003), 1009–1024. [Vie95] Eckart Viehweg, Quasi-projective moduli for polarized manifolds, volume 30 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]. Springer-Verlag, Berlin, 1995. edu Basic properties of log canonical centers Florin Ambro∗ Abstract. We present the elementary properties of log canonical centers of log varieties. 2010 Mathematics Subject Classification.

Assume that there are nonsingular divisors Ei intersecting transversely, and bi ∈ [0, 1] such that: (i) L ∼R KX + i bi Ei . (ii) D is effective, supported by 0

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