David Ploog

Leibniz Universität Hannover
E-Mail: dploog [at] math.fu-berlin.de or ploog [at] math.uni-hannover.de

Articles on the Arxiv preprint server

  1. arXiv:1903.08009 Displaying the cohomology of toric line bundles (with Klaus Altmann).
  2. arXiv:1709.03618 Exceptional sequences and spherical modules for the Auslander algebra of k[x]/(xt) (with Lutz Hille).
  3. arXiv:1703.09350 Tilting chains of negative curves on rational surfaces (with Lutz Hille). Nagoya Math. J., DOI:10.1017/nmj.2017.40
  4. arXiv:1701.01331 Derived categories of resolutions of cyclic quotient singularities (with Andreas Krug and Pawel Sosna). Quarterly J. Math, DOI:10.1093/qmath/hax048/4675118
  5. arXiv:1607.08198 Rigid divisors on surfaces (with Andreas Hochenegger).
  6. arXiv:1512.01482 Discrete triangulated categories (with Nathan Broomhead and David Pauksztello). Bull. Lond. Math. Soc., DOI:10.1112/blms.12125
  7. arXiv:1511.06550 Stability of Picard sheaves (with Georg Hein). J. Geom. Phys. 122 (2017), 59-68. In VBAC2015: Fourier-Mukai, 34 years on.
  8. arXiv:1502.06838 Spherical subcategories in representation theory (with Andreas Hochenegger and Martin Kalck). Math. Zeitschrift. 291 (2019) 113-147.
  9. arXiv:1407.5944   Discrete derived categories II: The silting pairs CW complex and the stability manifold (with Nathan Broomhead and David Pauksztello). J. Lond. Math. Soc. (2) 93, no. 2 (2016), 273-300.
  10. arXiv:1312.5203   Discrete derived categories I: homomorphisms, autoequivalences and t-structures (with Nathan Broomhead and David Pauksztello). Math. Z. 285(1) (2017), 39-89.
  11. arXiv:1212.4604   On autoequivalences of some Calabi-Yau and hyperkähler varieties (with Pawel Sosna). Int. Math. Res. Notices 22 (2014), 6094-6110.
  12. arXiv:1208.5691   Averaging t-structures and extension closure of aisles (with Nathan Broomhead and David Pauksztello). J. Algebra 394 (2013), 51-78.
  13. arXiv:1208.4046   Spherical subcategories in algebraic geometry (with Andreas Hochenegger and Martin Kalck). Math. Nachr. 289(11-12) (2016), 1450-1465.
  14. arXiv:1206.4558   Fourier-Mukai partners and polarised K3 surfaces (with Klaus Hulek). Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds; Fields Institute Communications, Vol. 67. Springer, 2013.
  15. arXiv:1102.5024   A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities (with Wolfgang Ebeling). Manuscripta Math. 140 (2013), 195-212.
  16. arXiv:1010.1717   Autoequivalences of toric surfaces (with Nathan Broomhead). Proc. Amer. Math. Soc. 142, no. 4 (2014), 1133-1146.
  17. arXiv:0903.4692   Poincaré series and Coxeter functors for Fuchsian singularities (with Wolfgang Ebeling). Adv. Math. 225 (2010), 1387-1398.
  18. arXiv:0901.1554   Postnikov-stability versus semistability of sheaves (with Georg Hein). Asian J. Math. 18, no. 2 (2014), 247-262.
  19. arXiv:0809.2738   McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities (with Wolfgang Ebeling). Math. Ann. 347 (2010), 689-702.
  20. arXiv:0704.2512   Postnikov-stability for complexes on curves and surfaces (with Georg Hein) Int. J. Math. 23/2 (2012), 1250048, 20 pages.
  21. arXiv:math.0508625 Equivariant autoequivalences for finite group actions Adv. Math. 216 (2007), 62-74.

Other articles

  1. Groups of autoequivalences of derived categories of smooth projective varieties pdf-file
    This is my PhD thesis, handed in January 31, 2005. 70 pages. My supervisor was Daniel Huybrechts.
  2. Fourier-Mukai transforms and stable bundles on elliptic curves (with Georg Hein) pdf-file
    Beiträge Algebra Geom. 46, no. 2 (2005), 423-434.
    See also Chapter 14 in the book "Abelian Varieties, Theta Functions and the Fourier Transform" by Polishchuk; and see this and this paper by Burban and Kreussler for the case of singular curves.
  3. Every other Hodge isometry of the cohomology of a K3 surface is induced by an autoequivalence of the derived category pdf-file
    Unpublished preprint FU Berlin (2002). This material is included in my thesis.
    The same argument appeared in the paper "Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations" by Hosono, Lian, Oguiso and Yau.
  4. Comparing Coxeter functors made from exceptional and spherical objects pdf-file
    Joint work with Chris Brav. This is a preprint, feedback is welcome. The first two sections (including the statement and proof of the main theorem) are finished.
    Note 12/2012: It is very unlikely that this article will be finished.