On the Fujita-Zariski decomposition on threefolds
Enrica Floris
TL;DR
This paper proves that on smooth threefolds, certain pseudoeffective divisors with specific base locus properties admit a Fujita-Zariski decomposition after a birational modification.
Contribution
It establishes the existence of Fujita-Zariski decompositions for a class of divisors on smooth threefolds, extending previous results to a broader setting.
Findings
Existence of Fujita-Zariski decomposition for specified divisors
Birational modifications enable decomposition on threefolds
Characterization of divisors with one-dimensional diminished base locus
Abstract
We prove that, on a smooth threefold, pseudoeffective divisors with closed and one-dimensional diminished base locus have birationally a Fujita-Zariski decomposition.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology