Andreas Höring

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I) Preprints:

• Fano varieties with split tangent sheaf.
  pdf-file
• Classification of Fano fourfolds with large anticanonical base locus. (joint work with Saverio Secci, Trieste)
  pdf-file
• Nonvanishing results for Kähler varieties. (joint work with Vlad Lazic, Saarbrücken and Christian Lehn, Bochum)
  pdf-file
• Intersection of two quadrics: modular interpretation and Hitchin morphism. (joint work with Vladimiro Benedetti, Nice and Jie Liu, Beijing)
  pdf-file
• On the relative cone conjecture for families of IHS manifolds. (joint work with Gianluca Pacienza, Nancy and Zhixin Xie, Nancy)
  pdf-file
• A contraction theorem for divisors fibering over a curve. (joint work with Thomas Peternell, Bayreuth)
  pdf-file
• Projectivity criteria for Kähler morphisms. (joint work with Benoit Claudon, Rennes)
  pdf-file
• Klt degenerations of projective spaces. (joint work with Thomas Peternell, Bayreuth)
  pdf-file

II) Accepted articles:

• Fixed divisors on hyperkähler manifolds. (joint work with Daniele Agostini, Tübingen)
  To appear in Proceedings of the London Mathematical Society. pdf-file
• Normal split divisors in rational homogeneous spaces. (joint work with Enrica Floris, Poitiers)
  To appear in Nagoya Math Journal. pdf-file
• Fano fourfolds with large anticanonical base locus. (joint work with Saverio Secci, Torino)
  Journal de l'IMJ. 24(3), 1021-1051 (2025) pdf-file
• Symmetric tensors on the intersection of two quadrics and Lagrangian fibration. (joint work with Arnaud Beauville, Nice, Antoine Etesse, Toulouse, Jie Liu, Beijing and Claire Voisin, Paris)
  Moduli 1, e4 (2024) 1–19. pdf-file
• Fano threefolds with affine canonical extensions. (joint work with Thomas Peternell, Bayreuth)
  J. Geom. Anal. 34, No. 5, Paper No. 135, 31 p. (2024). Special volume in memory of Nessim Sibony pdf-file
• Stein complements in compact Kähler manifolds. (joint work with Thomas Peternell, Bayreuth)
  Math. Ann. 390, No. 2, 2075-2111 (2024). pdf-file
• Direct images of pseudoeffective cotangent bundles. (joint work with Junyan Cao, Nice)
  To appear in Pure and Applied Mathematics Quarterly, Special volume in memory of Jean-Pierre Demailly pdf-file
• Frobenius integrability of certain p-forms on singular spaces. (joint work with Junyan Cao, Nice)
  C. R., Math., Acad. Sci. Paris 362, No. S1, 43-54 (2024). Special volume in memory of Jean-Pierre Demailly. pdf-file
• The cotangent bundle of a K3 surface of degree two. (joint work with Fabrizio Anella, Paris)
  EPIGA, Volume spécial en l'honneur de Claire Voisin, Article 3, 30 p. (2023). pdf-file
• Normal split submanifolds of rational homogeneous spaces. (joint work with Enrica Floris, Poitiers)
  Int. Math. Res. Not. 2024, No. 2, 1329-1339 (2024). pdf-file
• Fano manifolds with big tangent bundle: a characterisation of V5. (joint work with Jie Liu, Beijing)
  Collectanea Mathematica 74, pages 639–686 (2023) pdf-file
• A Nonvanishing Conjecture for Cotangent Bundles. (joint work with Thomas Peternell, Bayreuth)
  Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 5, 855-892 (2023). pdf-file
• Examples of Fano manifolds with non-pseudoeffective tangent bundle. (joint with Jie Liu, Beijing and Feng Shao, Beijing)
  Journal of the London Mathematical Society, 106 (2022), pages 27-59. pdf-file
• Twisted cotangent bundles of Hyperkähler manifolds. (joint with Fabrizio Anella, Rome, Appendix by Simone Diverio, Rome)
  Journal de l’École polytechnique — Mathématiques, Tome 8 (2021), pp. 1429-1457. pdf-file
• Adjoint (1,1)-classes on threefolds.
  Izv. Ross. Akad. Nauk Ser. Mat. 85 (2021), no. 4, 215–224. pdf-file
• Anticanonical system of Fano fivefolds. (joint with Robert Śmiech, Warsaw)
  Mathematische Nachrichten, Volume 293, Issue 1, January 2020, 115-119. pdf-file
• The fundamental group of compact Kähler threefolds. (joint work with Benoît Claudon, Nancy and Hsueh-Yung Lin, Bonn)
  Geometry & Topology 23 (2019), no. 7, 3233–3271. pdf-file
• Rational curves on compact Kähler manifolds. (joint work with Junyan Cao, Paris)
  Journal of Differential Geometry, 114 (2020), no. 1, 1-39. pdf-file
• Algebraic integrability of foliations with numerically trivial canonical bundle. (joint work with Thomas Peternell, Bayreuth)
  Inventiones mathematicae, May 2019, Volume 216, Issue 2, 395-419. pdf-file
• A decomposition theorem for projective manifolds with nef anticanonical bundle. (joint work with Junyan Cao, Paris)
  Journal of Algebraic Geometry 28 (2019): 567-597. pdf-file
• Bimeromorphic geometry of Kähler threefolds. (joint work with Thomas Peternell, Bayreuth)
  Proc. Sympos. Pure Math., 97.1, Algebraic geometry: Salt Lake City 2015, 381-402. dvi-file pdf-file
• Totally invariant divisors of endomorphisms of projective spaces.
  manuscripta mathematica, Volume 153, Issue 1-2, 173-182, 2017. dvi-file pdf-file
• Numerical characterisation of quadrics. (joint work with Thomas Dedieu, Toulouse)
  Algebraic Geometry, Volume 4(1), 120-135, 2017. dvi-file pdf-file
• Abundance for Kähler threefolds. (joint work with Frédéric Campana, Nancy and Thomas Peternell, Bayreuth)
  Annales de l'ENS, Volume 49(3), 971-105, 2016. dvi-file pdf-file
  The Erratum and addendum is published as an appendix (pages 2041-2044) of
  Guenancia, Henri; Paun, Mihai Bogomolov-Gieseker inequality for log terminal Kähler threefolds. Commun. Pure Appl. Math. 78, No. 11, 2206-2244 (2025).
• Minimal models for Kähler threefolds. (joint work with Thomas Peternell, Bayreuth)
  Inventiones mathematicae, January 2016, Volume 203, Issue 1, pp 217-264. dvi-file pdf-file
• Mori fibre spaces for Kähler threefolds. (joint work with Thomas Peternell, Bayreuth)
  J. Math. Sci. Univ. Tokyo (Kodaira Centennial Issue), 22:1–28, 2015. dvi-file pdf-file
• Manifolds with nef anticanonical bundle. (joint work with Junyan Cao, Grenoble)
  Journal für die reine und angewandte Mathematik 724, 203-244 (2017). dvi-file pdf-file Erratum
• Fano varieties with small non-klt locus. (joint work with Mauro Beltrametti, Genova and Carla Novelli, Padova)
  Int Math Res Notices 2015 (11): 3094-3120. dvi-file pdf-file
• Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations.
  Annales de l'Institut Fourier, 64 no. 6 (2014), p. 2465-2480. dvi-file pdf-file
• Singularities of varieties admitting an endomorphism. (joint work with Amaël Broustet, Lille)
  Mathematische Annalen 360 (2014), no. 1-2, 439–456. dvi-file pdf-file
• Uniformisation in dimension four: towards a conjecture of Iitaka. (joint work with Thomas Peternell and Ivo Radloff, Bayreuth)
  Mathematische Zeitschrift 274 (2013): 483–497. dvi-file pdf-file
• Manifolds with nef cotangent bundle.
  Asian Journal of Mathematics Vol. 17, No. 3, 561–568 (2013). dvi-file pdf-file
• Compact Kähler manifolds with compactifiable universal cover. (joint work with Benoît Claudon, Nancy, appendix by Frédéric Campana, Nancy)
  Bulletin de la SMF 141, fascicule 2 (2013), 355-375. dvi-file pdf-file
• Mori contractions of maximal length. (joint work with Carla Novelli, Padova)
  Publ. Res. Inst. Math. Sci. 49, No. 1, 215-228 (2013). pdf-file
• Algebraic varieties with quasi-projective universal cover. (joint work with Benoît Claudon, Nancy and János Kollár, Princeton)
  Journal für die reine und angewandte Mathematik 679, 207-221 (2013). dvi-file pdf-file
• Geometry of Brill-Noether loci on Prym varieties.
  Michigan Mathematical Journal 61 (2012): 785-806. dvi-file pdf-file
• On a conjecture of Beltrametti and Sommese.
  Journal of Algebraic Geometry 21 (2012): 721-751. dvi-file pdf-file Remark
• Algebraic foliations defined by quasi-lines. (joint work with Laurent Bonavero, Grenoble)
  International Journal of Mathematics 22, No. 10 (2011): 1501-1528 dvi-file pdf-file
• Non-algebraic compact Kähler threefolds admitting endomorphisms. (joint work with Thomas Peternell, Bayreuth)
  Science China Mathematics 54, No. 8 (2011): 1635–1664, Special volume on the occasion of Fabrizio Catanese's sixtieth birthday. dvi-file pdf-file
• Anticanonical divisors and curve classes on Fano manifolds. (joint work with Claire Voisin, Paris)
  Pure and Applied Mathematics Quarterly 7, No. 4 (2011): 1371—1393, Special volume dedicated to Eckart Viehweg. dvi-file pdf-file
• Effective non-vanishing conjectures for projective threefolds. (joint work with Amaël Broustet, Strasbourg)
  Advances in Geometry 10, No. 4 (2010): 737-746. dvi-file pdf-file
• Positivity of direct image sheaves - a geometric point of view.
  L'Enseignement Mathématique 56, No. 1 (2010): 87-142. dvi-file pdf-file
• The sectional genus of quasi-polarised varieties.
  Archiv der Mathematik 95, No. 2 (2010): 125-133. dvi-file pdf-file
• Counting conics in complete intersections. (joint work with Laurent Bonavero, Grenoble)
  Acta Mathematica Vietnamica 35, No.1 (2010): 23-30, Special Volume dedicated to the Proceedings of the Hanoi Conference on Complex Geometry. dvi-file pdf-file
• Minimal classes on the intermediate Jacobian of a generic cubic threefold.
  Communications in Contemporary Mathematics 12, No.1 (2010): 55-70. dvi-file pdf-file
• The structure of uniruled manifolds with split tangent bundle.
  Osaka Journal of Mathematics 45 (2008): 1067-1084. dvi-file pdf-file
• Quasi-lines and their degenerations. (joint work with Laurent Bonavero, Grenoble)
  Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), Vol. VI (2007): 359-383. dvi-file pdf-file
• M-regularity of the Fano surface.
  C.R.A.S. 344 (2007): 691-696. dvi-file pdf-file
• Uniruled manifolds with split tangent bundle.
  Mathematische Zeitschrift 256 (2007): 465-479. dvi-file pdf-file
  Original available at www.springerlink.com

III) Other texts:

• My reviews for MathSciNet.
  Only for subscribers
• My reviews for Zentralblatt Mathematik.
  Only for subscribers
• Kähler geometry and Hodge theory.
  Lecture Notes M2. dvi-file pdf-file
• Positivité, uniformisation et courbes rationnelles : quelques aspects de la classification des variétés projectives.
  My habilitation thesis. pdf-file
• Two applications of positivity to the classification of projective varieties.
  My thesis. pdf-file
• Geometric quotients and rationally connected varieties.
  My Master thesis. dvi-file pdf-file
• Quantenmechanik I.
  Lectures notes on quantum mechanics (in German, held by Prof. Helmut Brand at the University of Bayreuth). ps-file