Clustered families and applications to Lang‐type conjectures

DOI10.1112/plms.12484zbMath1525.32016arXiv2010.11301OpenAlexW3094044744WikidataQ123286255 ScholiaQ123286255MaRDI QIDQ6075047

Eric Riedl, Izzet Coskun

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11301

zbMATH Keywords

rational curvesGrassmanniansvarietieshyperbolicityLang conjecture

Mathematics Subject Classification ID

Rational points (14G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Cites Work

• Unnamed Item
• Unnamed Item
• Flexibility of Schubert classes
• Rigid Schubert varieties in compact Hermitian symmetric spaces
• Rigid and non-smoothable Schubert classes
• On a conjecture of Clemens on rational curves on hypersurfaces
• Subvarieties of generic complete intersections
• A Littlewood-Richardson rule for two-step flag varieties
• Subvarieties of generic complete intersections. II
• Variations of Hodge structure and zero cycles on general surfaces
• Positivity results for spaces of rational curves
• Rational curves on general type hypersurfaces
• Rationally inequivalent points on hypersurfaces in \(\mathbb{P}^n\)
• Recent results on the Kobayashi and Green-Griffiths-Lang conjectures
• Algebraic hyperbolicity of the very general quintic surface in \(\mathbb{P}^3\)
• Rigidity of singular Schubert varieties in \(\text{Gr}(m,n)\)
• Rigidity of smooth Schubert varieties in Hermitian symmetric spaces
• Hyperbolic and Diophantine analysis
• Curves on generic hypersurfaces
• Twisted genus bounds for subvarieties of generic hypersurfaces
• Rational curves on general projective hypersurfaces
• Subvarieties of general type on a general projective hypersurface
• Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants
• The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties
• A correction: ``On a conjecture of Clemens on rational curves on hypersurfaces

This page was built for publication: Clustered families and applications to Lang‐type conjectures