On the restriction of the moduli part to a reduced divisor

Enrica Floris

On the restriction of the moduli part to a reduced divisor

Algebraic Geometry 2022-05-02 v2

Authors: Enrica Floris

Abstract

Let $f \colon (X,\Delta) \to Y$ be a fibration such that $K_X + \Delta$ is torsion along the fibres of $f$ . Assume that $Y$ has dimension 2, or that $Y$ has dimension 3 and the fibres have dimension at most 3. Then the restriction of the moduli part to its augmented base locus is semiample.

Keywords

moduli part reduced divisor fibration augmented base locus semiample torsion

Cite

@article{arxiv.2111.03373,
  title  = {On the restriction of the moduli part to a reduced divisor},
  author = {Enrica Floris},
  journal= {arXiv preprint arXiv:2111.03373},
  year   = {2022}
}

Comments

52 pages, comments are welcome

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