Titlebook: Algebraic Surfaces; Lucian Bădescu Textbook 2001 Springer-Verlag New York 2001 Dimension.Divisor.Grad.Grothendieck topology.algebra.algebr

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Durability of High-Load Structures,In view of (9.3) and the proof of (8.3)(a), we have the following.

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https://doi.org/10.1007/978-3-662-46507-3In this chapter we present Zariski’s theory of finite generation of the graded algebra . (., .) associated to a divisor . on a surface ., cf. [Zar1] and some more recent developments related to this theory.

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Properties of Rational Singularities,Let f : X → Y be a desingularization of a normal singularity (Y, y), with Y an affine surface, E., ... , E. the irreducible components of the reduced fiber E = f.(y)., and L an invertible O.-module such that (L · E.) ≥ (ω. · E.), i = 1, ... , n. Then H.(X, L) = 0.

STERN

,Noether’s Formula, the Picard Scheme, the Albanese Variety, and Plurigenera,From this point on by . we mean a nonsingular projective surface . defined over an algebraically closed field k of arbitrary characteristic. When we have to deal with surfaces with singularities, we state that explicitly (for example: let . be a normal surface...).

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