Local Simple Connectedness of Resolutions of Log-Terminal Singularities

DOI10.1142/S0129167X0300196XzbMath1058.14024OpenAlexW2068808953MaRDI QIDQ4474444

Shigeharu Takayama

Publication date: 12 July 2004

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

Full work available at URL: https://doi.org/10.1142/s0129167x0300196x

zbMATH Keywords

fundamental groupextremal raysflips\(L^2\)-index theorempluricanonical morphisms

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Minimal model program (Mori theory, extremal rays) (14E30) Coverings in algebraic geometry (14E20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (26)

The dual complex of Calabi-Yau pairs ⋮ A decomposition theorem for smoothable varieties with trivial canonical class ⋮ Fundamental groups of links of isolated singularities ⋮ Boundary complexes and weight filtrations ⋮ Codimension \(1\) foliations with numerically trivial canonical class on singular spaces ⋮ Totally invariant divisors of int-amplified endomorphisms of normal projective varieties ⋮ Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups ⋮ On higher dimensional extremal varieties of general type ⋮ The nonvanishing problem for varieties with nef anticanonical bundle ⋮ Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces ⋮ Extending symmetric determinantal quartic surfaces ⋮ Examples of Irreducible Symplectic Varieties ⋮ Algebraic approximation of Kähler threefolds of Kodaira dimension zero ⋮ Maximal representations of uniform complex hyperbolic lattices ⋮ Finiteness of algebraic fundamental groups ⋮ Polarized endomorphisms of complex normal varieties ⋮ The fundamental group of compact Kähler threefolds ⋮ Projectively flat klt varieties ⋮ Aspects of the Geometry of Varieties with Canonical Singularities ⋮ Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles ⋮ The local fundamental group of a Kawamata log terminal singularity is finite ⋮ A note on higher Todd genera of complex manifolds ⋮ COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS ⋮ \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups ⋮ The fundamental group of a log terminal \(\mathbb{T}\)-variety ⋮ The universal covers of hypertoric varieties and Bogomolov's decomposition

Cites Work

• Shafarevich maps and plurigenera of algebraic varieties
• \(L^2\) -cohomology on the coverings of a compact complex manifold
• Simpliziale Zerlegung abzählbarer analytischer Räume

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