Zariski Decomposition and Applications
In this chapter we present Zariski’s theory of finite generation of the graded algebra R (X, D) associated to a divisor D on a surface X, cf. [Zar1] and some more recent developments related to this theory.
KeywordsCartier Divisor Ample Divisor Canonical Divisor Algebraic Space Exceptional Curve
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- [Bâd3*]L. Bâdescu, The graded algebra associated to a divisor on a smooth projective surface (in Romanian). InAnalizé Complexé: Aspecte Clasice si Moderne. Editura Stiintificâ §i Enciclopedicâ, Bucuresti, 1988. 295–337.Google Scholar
- [Mum6*]D. Mumford, Hilbert’s fourteenth problem—the finite generation of subrings such as rings of invariants. InMathematical Developments Arising from Hilbert’s Problems, Proc. Symposia in Pure Math. 28, Part 2, Amer. Math. Soc., Providence, Rhode Island, 1976, 431–444.Google Scholar