Fundamental groups of rationally connected varieties.

DOI10.1307/MMJ/1030132724zbMath1077.14520arXivmath/0003138OpenAlexW1975345141MaRDI QIDQ5954567

János Kollár

Publication date: 4 February 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003138

Mathematics Subject Classification ID

Fano varieties (14J45) Homotopy theory and fundamental groups in algebraic geometry (14F35) Rationality questions in algebraic geometry (14E08)

Related Items (12)

Quot schemes and Ricci semipositivity ⋮ Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves ⋮ Holomorphic connections on some complex manifolds ⋮ Bimeromorphic geometry of LCK manifolds ⋮ Arithmetics of homogeneous spaces over p$p$‐adic function fields ⋮ Fundamental groups of moduli of principal bundles on curves ⋮ Calabi-Yau varieties with semi-stable fibre structures ⋮ Holomorphic Cartan geometry on manifolds with numerically effective tangent bundle ⋮ Semistability and restrictions of tangent bundle to curves ⋮ Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle ⋮ The abelian monodromy extension property for families of curves ⋮ On the vector bundles over rationally connected varieties

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