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Thomas Peternell

Thomas Peternell

Overview

Thomas Peternell is affiliated with the University of Bayreuth in Germany and works primarily in the field of Mathematics. Their research focuses extensively on Geometry and Topology, evident from a significant number of publications in this subfield.

Their academic work spans several specialized subfields, including:

  • Geometry and Topology
  • Mathematical Physics
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory

Main research topics covered by their publications include:

  • Algebraic Geometry and Number Theory
  • Geometry and Complex Manifolds
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Geometric Analysis and Curvature Flows
  • Advanced Differential Equations and Dynamical Systems

Thomas Peternell has contributed to prominent research venues, with frequent publications in:

  • arXiv (Cornell University)
  • Publications of the Research Institute for Mathematical Sciences
  • Journal of Algebraic Geometry
  • Documenta Mathematica
  • Mathematische Annalen

Recent papers authored include:

  • "On Generalised Abundance, I" (2020), Publications of the Research Institute for Mathematical Sciences
  • "Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor" (2022), Journal of Algebraic Geometry
  • "The Nonvanishing Problem for varieties with nef anticanonical bundle" (2023), Documenta Mathematica
  • "The algebraic dimension of compact complex threefolds with vanishing second Betti number" (2020), Compositio Mathematica
  • "Stein complements in compact Kähler manifolds" (2024), Mathematische Annalen

Their collaboration network includes several frequent co-authors such as:

  • Andreas Höring
  • Daniel Greb
  • Stefan Kebekus
  • Vladimir Lazić
  • Mihai Păun

Best Publications

  • The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension

    Sébastien Boucksom;Jean-Pierre Demailly;Mihai Păun;Mihai Păun;Thomas Peternell

  • Compact complex manifolds with numerically effective tangent bundles

    Jean-Pierre Demailly;Thomas Peternell;Michael Schneider

  • PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS

    Jean-Pierre Demailly;Thomas Peternell;Michael Schneider

  • Projective manifolds whose tangent bundles are numerically effective.

    Frédéric Campana;Thomas Peternell

  • Several Complex Variables VII

    H. Grauert;Th. Peternell;R. Remmert

  • Differential Forms on Log Canonical Spaces

    Daniel Greb;Stefan Kebekus;Sándor J Kovács;Thomas Peternell

  • Geometry of Higher Dimensional Algebraic Varieties

    Yoichi Miyaoka;Thomas Peternell

  • GEOMETRIC STABILITY OF THE COTANGENT BUNDLE AND THE UNIVERSAL COVER OF A PROJECTIVE MANIFOLD

    Frédéric Campana;Thomas Peternell

  • A reduction map for nef line bundles

    Thomas Bauer;Frédéric Campana;Thomas Eckl;Stefan Kebekus

  • The pseudo-effective cone of a compact K"ahler manifold and varieties of negative Kodaira dimension

    Sébastien Boucksom;Jean-Pierre Demailly;Mihai Paun;Thomas Peternell

  • Algebraic integrability of foliations with numerically trivial canonical bundle

    Andreas Höring;Thomas Peternell

  • Algebraicity of the ample cone of projective varieties.

    F. Campana;Th. Peternell

  • Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties

    Daniel Greb;Stefan Kebekus;Thomas Peternell

  • A Kawamata-Viehweg Vanishing Theorem on Compact Kähler Manifolds

    Jean-Pierre Demailly;Thomas Peternell

  • Projective contact manifolds

    Stefan Kebekus;Thomas Peternell;Andrew J. Sommese;Jarosław A. Wiśniewski

  • Minimal models for Kähler threefolds

    Andreas Höring;Thomas Peternell

  • Singular spaces with trivial canonical class

    Daniel Greb;Stefan Kebekus;Thomas Peternell

  • Threefolds with big and nef anticanonical bundles II

    Priska Jahnke;Thomas Peternell;Ivo Radloff

  • Movable Curves and Semistable Sheaves

    Daniel Greb;Stefan Kebekus;Thomas Peternell

  • Kähler manifolds with numerically effective Ricci class

    Jean-Pierre Demailly;Thomas Peternell;Michael Schneider

Frequent Co-Authors

Jean-Pierre Demailly
Jean-Pierre Demailly Grenoble Alpes University
Fabrizio Catanese
Fabrizio Catanese University of Bayreuth
Andrew J. Sommese
Andrew J. Sommese University of Notre Dame
Hans Grauert
Hans Grauert University of Göttingen
Gang Tian
Gang Tian Peking University
Sébastien Boucksom
Sébastien Boucksom École Polytechnique
Yujiro Kawamata
Yujiro Kawamata University of Tokyo

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