Andreas Höring

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I) Preprints:

• Klt degenerations of projective spaces. (joint work with Thomas Peternell, Bayreuth)
  pdf-file
• Fano fourfolds with large anticanonical base locus. (joint work with Saverio Secci, Torino)
  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)
  pdf-file

II) Accepted articles:

• Fano threefolds with affine canonical extensions. (joint work with Thomas Peternell, Bayreuth)
  To appear in Journal of Geometric Analysis, Special volume in memory of Nessim Sibony pdf-file
• Stein complements in compact Kähler manifolds. (joint work with Thomas Peternell, Bayreuth)
  To appear in Mathematische Annalen 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)
  To appear in CRAS, 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)
  To appear in Annales de la Faculté des Sciences de Toulouse. 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 Erratum and addendum
• 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