Jan Schröer

Publications and Preprints

Preprints

  1. G. Bobinski, J. Schröer
    Genericall τ-regular irreducible components of module varieties
    Preprint (2024), 49pp.
  2. C. Geiß, D. Labardini-Fragoso, J Schröer
    Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras
    Preprint (2020), 45pp., arXiv:2007.05483 (To be divided into two publications.)
  3. C. Geiß, B. Leclerc, J. Schröer
    Cluster algebra structures and semicanonical bases for unipotent groups
    Preprint (2007), 121pp., arXiv:math/0703039 (This will not be published elsewhere. Parts of it went into other publications.)

Accepted for publication

  1. C. Geiß, D. Labardini, J. Schröer
    Semicontinuous maps on module varieties
    Journal für die Reine und Angewandte Mathematik (Crelle) (to appear), Preprint (2023), 17pp., arXiv:2302.02085

Publications

  1. C. Geiß, D. Labardini-Fragoso, J Schröer
    Schemes of modules over gentle algebras and laminations of surfaces
    Selecta Mathematica (N.S.) 28 (2022), no. 1, Paper No. 8, 78 pp.
  2. C. Geiß, B. Leclerc, J. Schröer
    Rigid modules and Schur roots
    Mathematische Zeitschrift 295 (2020), no. 3-4, 1245-1277.
  3. C. Geiß, B. Leclerc, J. Schröer
    Quantum cluster algebras and their specializations
    Journal of Algebra 558 (2020), 411-422.
  4. G. Bobinski, J. Schröer
    Algebras with irreducible module varieties I
    Advances in Mathematics 343 (2019), 624-639.
  5. G. Bobinski, J. Schröer
    Algebras with irreducible module varieties II: Two vertex case
    Journal of Algebra 518 (2019), 384-411.
  6. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions
    Selecta Mathematica (N.S.) 24 (2018), no. 4, 3283-3348.
  7. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formula
    Proceedings of the London Mathematical Society (3) 117 (2018), no. 1, 125-148.
  8. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices II: Change of symmetrizers
    International Mathematics Research Notices (2018), no. 9, 2866-2898.
  9. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices I: Foundations
    Inventiones Mathematicae 209 (2017), no. 1, 61-158.
  10. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras
    Representation Theory 20 (2016), 375-413.
  11. C. Geiß, D. Labardini-Fragoso, J. Schröer
    The representation type of Jacobian algebras
    Advances in Mathematics 290 (2016), 364-452.
  12. G. Cerulli Irelli, D. Labardini-Fragoso, J. Schröer
    Caldero-Chapoton algebras
    Transactions of the American Mathematical Society 367 (2015), no. 4, 2787-2822.
  13. C. Geiß, B. Leclerc, J. Schröer
    Cluster structures on quantum coordinate rings
    Selecta Mathematica (N.S.) 19 (2013), no. 2, 337-397.
  14. C. Geiß, B. Leclerc, J. Schröer
    Factorial cluster algebras
    Documenta Mathematica 18 (2013), 249-274.
  15. C. Geiß, B. Leclerc, J. Schröer
    Cluster algebras in algebraic Lie theory
    Transformation Groups 18 (2013), no. 1, 149-178.
  16. C. Geiß, B. Leclerc, J. Schröer
    Generic bases for cluster algebras and the Chamber Ansatz
    Journal of the American Mathematical Society 25 (2012), no. 1, 21-76.
  17. C. Geiß, B. Leclerc, J. Schröer
    Kac-Moody groups and cluster algebras
    Advances in Mathematics 228 (2011), no. 1, 329-433.
  18. C. Geiß, B. Leclerc, J. Schröer
    Preprojective algebras and cluster algebras
    In: Trends in representation theory of algebras and related topics, 253-283, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich (2008).
  19. C. Geiß, B. Leclerc, J. Schröer
    Partial flag varieties and preprojective algebras
    Annales de L'Institut Fourier (Grenoble) 58 (2008), no.3, 825-876.
  20. C. Geiß, B. Leclerc, J. Schröer
    Semicanonical bases and preprojective algebras II: A multiplication formula
    Compositio Mathematica 143 (2007), no. 5, 1313-1334.
  21. C. Geiß, B. Leclerc, J. Schröer
    Auslander algebras and initial seeds for cluster algebras
    Journal of the London Mathematical Society (2) 75 (2007), no. 3, 718-740.
  22. C. Geiß, B. Leclerc, J. Schröer
    Rigid modules over preprojective algebras
    Inventiones Mathematicae 165 (2006), no. 3, 589-632.
  23. C. Geiß, B. Leclerc, J. Schröer
    Verma modules and preprojective algebras
    Nagoya Mathematical Journal 182 (2006), 241-258.
  24. C. Geiß, B. Leclerc, J. Schröer
    Semicanonical bases and preprojective algebras
    Annales Scientifique de L'École Normale Supérieure (4) 38 (2005), no. 2, 193-253.
  25. C. Geiß, J. Schröer
    Extension-orthogonal components of preprojective varieties
    Transactions of the American Mathematical Society 357 (2005), no. 5, 1953-1962.
  26. J. Schröer
    Varieties of pairs of nilpotent matrices annihilating each other
    Commentarii Mathematici Helvetici 79 (2004), no. 2, 396-426.
  27. K. Erdmann, T. Holm, O. Iyama, J. Schröer
    Radical embeddings and representation dimension
    Advances in Mathematics 185 (2004), no. 1, 159-177.
  28. J. Schröer, A. Zimmermann
    Stable endomorphism algebras of modules over special biserial algebras
    Mathematische Zeitschrift 244 (2003), no. 3, 515-530.
  29. C. Geiß, J. Schröer
    Varieties of modules over tubular algebras
    Colloquium Mathematicum 95 (2003), no. 2, 163-183.
  30. W. Crawley-Boevey, J. Schröer
    Irreducible components of varieties of modules
    Journal für die Reine und Angewandte Mathematik (Crelle) 553 (2002), 201-220.
  31. M. Prest, J. Schröer
    Serial functors, Jacobson radical and representation type
    Journal of Pure and Applied Algebra 170 (2002), no. 2-3, 295-307.
  32. M. Barot, J. Schröer
    Module varieties over canonical algebras
    Journal of Algebra 246 (2001), no. 1, 175-192.
  33. J. Schröer
    The Krull-Gabriel dimension of an algebra - open problems and conjectures
    In: Infinite length modules (Bielefeld, 1998), 419-424.
    Trends Math., Birkhäuser, Basel (2000).
  34. J. Schröer
    On the infinite radical of a module category
    Proceedings of the London Mathematical Society (3) 81 (2000), no. 3, 651-674.
  35. J. Schröer
    On the Krull-Gabriel dimension of an algebra
    Mathematische Zeitschrift 233 (2000), no. 2, 287-303.
  36. J. Schröer
    Modules without self-extensions over gentle algebras
    Journal of Algebra 216 (1999), no. 1, 178-189.
  37. J. Schröer
    On the quiver with relations of a repetitive algebra
    Archiv der Mathematik (Basel) 72 (1999), no. 6, 426-432.