T. Peternell

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 16 papers; trusts 22 researchers and is trusted by 27 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 95 citations into it; #811 of 7,422 by trust here, #162 by citations
• Mathematical Physics — 42 citations into it; #3,201 of 8,562 by trust here, #810 by citations
• Algebra and Number Theory — 26 citations into it; #2,700 of 2,864 by trust here, #1,302 by citations
• Applied Mathematics — 21 citations into it; #2,235 of 7,620 by trust here, #630 by citations
• Computational Theory and Mathematics — 21 citations into it; #8,241 of 12,182 by trust here, #2,931 by citations
• Statistical and Nonlinear Physics — 7 citations into it; #5,189 of 10,127 by trust here, #3,382 by citations

Whom T. Peternell trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. D. Greb
2. S. Boucksom
3. J. Demailly
4. Stefan Kebekus
5. C. Birkar
6. R. Lazarsfeld
7. Henri Guenancia
8. David A. Cox
9. T. Mochizuki
10. Qi S. Zhang

Who trusts T. Peternell overall

1. D. Greb
2. Henri Guenancia
3. Stefan Kebekus
4. J. Demailly
5. Junyan Cao
6. Valentino Tosatti
7. A. Höring
8. Qi’an Guan
9. S. Druel
10. Zbigniew Blocki

Papers from T. Peternell's perspective

Ordered by how strongly the researchers T. Peternell trusts endorse each paper. Same corpus, a different order for every researcher.

1. Movable curves and semistable sheaves
2. Kobayashi-Hitchin correspondence for tame harmonic bundles and an application (Astérisque)
3. Bogomolov’s inequality for Higgs sheaves in positive characteristic
4. Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities
5. Semi-stability of the tangent sheaf of singular varieties
6. Compact moduli spaces for slope-semistable sheaves
7. Local Systems on Proper Algebraic V -manifolds
8. Polarized endomorphisms of complex normal varieties
9. ON THE VOLUME OF A LINE BUNDLE
10. Lectures on resolution of singularities

Their papers

• Differential forms on log canonical spaces (2010) — 233 citations
• Geometry of Higher Dimensional Algebraic Varieties (2004) — 111 citations
• On Generalised Abundance, I (2018) — 46 citations
• Algebraic integrability of foliations with numerically trivial canonical bundle (2017) — 111 citations
• The Miyaoka-Yau inequality and uniformisation of canonical models (2015) — 56 citations
• Movable curves and semistable sheaves (2014) — 78 citations
• Minimal models for Kähler threefolds (2013) — 81 citations
• Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties (2013) — 152 citations
• Rationally connected manifolds and semipositivity of the Ricci curvature (2012) — 63 citations
• Singular spaces with trivial canonical class (2011) — 98 citations
• Varieties with generically nef tangent bundles (2008) — 48 citations
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension (2004) — 660 citations
• Threefolds with big and nef anticanonical bundles I (2004) — 51 citations
• A Kawamata-Viehweg Vanishing Theorem on Compact Kähler Manifolds (2002) — 107 citations
• A reduction map for nef line bundles (2001) — 100 citations
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS (2000) — 227 citations