Zariski Decomposition of B-divisors
نویسنده
چکیده
Based on a recent work of Thomas Bauer’s [1] reproving the existence of Zariski decompositions for surfaces, we construct a b-divisorial analogue of Zariski decomposition in all dimensions.
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A Simple Proof for the Existence of Zariski Decompositions on Surfaces
The decomposition D = P + N is called the Zariski decomposition of D, the divisors P and N are respectively the positive and negative parts of D. Zariski’s result has been used to study linear series on surfaces, and in the classification of surfaces (see [1, Chapt. 14] and [4, Sect. 2.3.E], as well as the references therein). We also mention that there is an extension to pseudo-effective divis...
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