Subadditivity of Kodaira dimension does not hold in positive characteristic
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Publication:2055242
DOI10.4171/CMH/517zbMath1489.14020arXiv2003.13206OpenAlexW3216830242MaRDI QIDQ2055242
Paolo Cascini, János Kollár, Lei Zhang, Sho Ejiri
Publication date: 6 December 2021
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13206
Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30)
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- Kodaira dimension of algebraic fiber spaces over abelian varieties
- Existence of Mori fibre spaces for 3-folds in char \(p\)
- Kodaira dimension of irregular varieties
- Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
- Resolution of singularities of threefolds in positive characteristic. II
- Kodaira dimension of algebraic fiber spaces over curves
- Iitaka's \(C_{n,m}\) conjecture for \(3\)-folds in positive characteristic
- Behavior of canonical divisors under purely inseparable base changes
- Abundance for 3-folds with non-trivial Albanese maps in positive characteristic
- Subadditivity of Kodaira dimensions for fibrations of three-folds in positive characteristics
- The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics
- Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
- An addition formula for Kodaira dimension of analytic fibre bundles whose fibre are Moisezon manifolds
- Existence of flips and minimal models for 3-folds in char $p$
- Semi-positivity in positive characteristics
- IITAKA CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS
- Towards the second main theorem on complements
- The Iitaka conjecture Cn,m in dimension six
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
- Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
- Kodaira dimension of algebraic fiber spaces over surfaces
- Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun
- Algebraic fiber spaces whose general fibers are of maximal Albanese dimension
- Pathologies on Mori fibre spaces in positive characteristic
- On the three dimensional minimal model program in positive characteristic
- Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers
- On subadditivity of Kodaira dimension in positive characteristic over a general type base
- Abundance for non‐uniruled 3‐folds with non‐trivial Albanese maps in positive characteristics
- On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
