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math.CVOct 16, 2023
authors
  • Valentino Tosatti
institutions
  • Courant Institute of Mathematical Sciences
  • New York University
arXiv abstractPDF
paper

Semipositive line bundles and (1,1)-classes

arXiv:2309.00580 · doi:10.1007/s10114-024-3440-3

Abstract

We survey some recent developments on various notions of semipositivity for (1,1)-classes on complex manifolds, and discuss a number of open questions.

arXiv comment14 pages; final version to appear in Acta Math. Sin. (Engl. Ser.)

References in corpus (14)

  • Limits of Calabi-Yau metrics when the Kahler class degenerates
  • KAWA lecture notes on the Kähler-Ricci flow
  • Kähler currents and null loci
  • A general Schwarz Lemma for almost-Hermitian manifolds
  • On Generalised Abundance, I
  • Higher-order estimates for collapsing Calabi-Yau metrics
  • Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
  • Nef line bundles on Calabi-Yau threefolds, I
  • Calabi-Yau manifolds and their degenerations
  • Smooth and Rough Positive Currents
  • Collapsing Calabi-Yau manifolds
  • Canonical currents and heights for K3 surfaces
  • Morse-type integrals on non-Kähler manifolds
  • On L∞ estimates for Monge-Ampère and Hessian equations on nef classes
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