Prof. Dr. Christian Gleißner



List of publications


  1. Die Klassifikation der regulären Flächen isogen zu einem Produkt von zwei Kurven mit χ = 2 (Diploma thesis, on request, in German language).

  2. The Classification of Regular Surfaces Isogenous to a Product of Curves with χ = 2, appeared in Beauville Surfaces and Groups, Springer Proceedings in Mathematics & Statistics.

    Related files: the script


  3. On Threefolds Isogenous to a Product of Curves. A collaboration with Davide Frapporti, appeared in Journal of Algebra Vol. 465, Elsevier. Related files: the script

  4. Threefolds Isogenous to a Product and Product quotient Threefolds with Canonical Singularities. Dissertation, honored with the Preis der Stadt Bayreuth.

    Related files: the script


  5. Mixed Threefolds Isogenous to a Product. Appeared in Journal of Algebra and Its Applications Vol.18. Related files: the script

  6. New surfaces with canonical map of high degree. A collaboration with Roberto Pignatelli and Carlos Rito . To appear in Commun. Anal. Geom. . Related files: the script

  7. The pluricanonical systems of a product-quotient variety. Appeared in Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants, Springer Proceedings
    in Mathematics & Statistics. A collaboration with Filippo Favale and Roberto Pignatelli. Related files: the script

  8. A family of threefolds of general type with canonical map of high degree. A collaboration with Davide Frapporti. Appeared in Taiwanese Journal of Mathematics .

  9. Fermat's Cubic, Klein's Quartic and Rigid Complex Manifolds of Kodaira Dimension One. A collaboration with Ingrid Bauer. Appeared in Documenta Mathematica .

  10. Towards a Classification of Rigid Product Quotient Varieties of Kodaira Dimension 0. A collaboration with Ingrid Bauer. Appeared in Bollettino dell'Unione Matematica Italiana .

    Related files: the script


  11. The Classification of Rigid Hyperelliptic Fourfolds. A collaboration with Andreas Demleitner. Preprint on the arXiv .

    Related files: the Z3xZ3 case (output) and the He(3) case.


  12. Crystallogrphic Groups and Calabi-Yau 3-Folds of Type III0. A collaboration with Julia Kotonski. Preprint on the arXiv .

    Related files: the Z3xZ3 case (output) and the He(3) case (output).


  13. Some surfaces with canonical maps of degree 10,11 and 14. A collaboration with Federico Fallucca. To appear in Mathematische Nachrichten .

    Poster presentation at Algebraic Geometry in Roma Tre.


  14. Semi-projective representations and twisted representation groups. A collaboration with Massimiliano Alessandro and Julia Kotonski. Appeared in Communications in Algebra .

    Related files: the script


  15. On Rigid Manifolds of Kodaira Dimension 1. A collaboration with Ingrid Bauer and Julia Kotonski Preprint on the arXiv .

    Related files: the script


My publications on the arXiv.


Seminar talks


  1. 04.2012 Regular Surfaces Isogenous to a Product with χ = 2, at KIAS, Seoul, South Korea.

  2. 12.2012 Varieties Isogenous to a Product, at Università degli Studi di Milano Dipartimento di Matematica "Federigo Enriques", Milano, Italy. The slides

  3. 04.2016 On the Classification of Threefolds Isogenous to a Product, at Università di Pavia Dipartimento di Matematica, Pavia, Italy.

  4. 11.2016 Threefolds Isogenous to a Product, at Università degli Studi di Trento, Italy. The slides

  5. 09.2017 Product Quotients in Dimension Three, Classification and Moduli Theory of Algebraic Varieties , 10-17 September, Ischia, Italy.

  6. 06.2018 Product Quotient Threefolds, LMS Midlands Regional Meeting and Workshop on 'Galois covers, Grothendieck- Teichmüller theory and Dessins d’enfants’, Leicester, (UK).

  7. 06.2018 On the degree of the canonical map of a product quotient surface, JADE@Biccoca (Joint Algebraic and Differential Encounters), Milano, (Italy). The slides

  8. 10.2018 Canonical and pluricanonical systems of product quotients, Mini-workshop on Algebraic Surfaces KIAS, Seoul, (South Korea).

  9. 10.2018 On the degree of the canonical map of a surface isogenous to a product, Joint meeting of the Korean and the German Mathematical Society, Coex, Seoul, South Korea.

  10. 11.2019 Klein's Quartic, Fermat's Cubic and Rigid Complex Manifolds of Kodaira Dimension One, Albert-Ludwigs-Universität Freiburg.

  11. 06.2021 Rigid complex manifolds via product quotients, 8th european congress of mathematics . Arithmetic and Geometry of Algebraic Surfaces (minisymposium), Portorož, Slovenia (online).

  12. 10.2021 On Hyperelliptic Fourfolds (work in progress), Algebraic Geometry in Ischia for Alexandru Dimca's retirement , Ischia, Italy.

  13. 12.2021 Flat Kähler Fourfolds with Rigid Complex Structure, Andrzej Szczepański's geometry seminar , Gdańsk, Poland (online).

  14. 03.2023 Rigid Hyperelliptic Fourfolds, Università di Genova , Genova, Italy.

  15. 03.2023 Rigid Hyperelliptic Fourfolds, Università degli Studi di Milano , Milan, Italy.

  16. 05.2023 O-minimality in Geometry, my habilitation talk at the University of Bayreuth. The slides

  17. 05.2023 Rigid Four-Dimensional Torus Quotients, Berlin-Hannover Algebraic Geometry Workshop , Humboldt Universität Berlin.