On generalized nefness and bigness in adjunction theory

DOI10.1007/s10013-022-00604-0arXiv2202.11563OpenAlexW4316193833MaRDI QIDQ6189127

Camilla Felisetti, Claudio Fontanari

Publication date: 12 January 2024

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11563

zbMATH Keywords

termination of adjunction\(k\)-big divisorAmbro conjectureSerrano conjecturestrictly nef divisor

Mathematics Subject Classification ID

Adjunction problems (14N30) (n)-folds ((n>4)) (14J40)

Cites Work

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• Zariski-decomposition and abundance
• Line bundles with partially vanishing cohomology
• Effective adjunction theory
• Rationally connected varieties -- on a conjecture of Mumford
• On a conjecture of Beltrametti and Sommese
• Effective non-vanishing conjectures for projective threefolds
• Abundance for varieties with many differential forms
• Strictly nef divisors and Fano threefolds.
• On the abundance theorem in the case of numerical Kodaira dimension zero
• On effective non-vanishing and base-point-freeness.

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