David Ploog
Leibniz Universität Hannover
EMail: dploog [at] math.fuberlin.de or
ploog [at] math.unihannover.de
Articles on the Arxiv preprint server

arXiv:1903.08009
Displaying the cohomology of toric line bundles
(with Klaus Altmann).

arXiv:1709.03618
Exceptional sequences and spherical modules for the Auslander algebra of k[x]/(x^{t})
(with Lutz Hille).

arXiv:1703.09350
Tilting chains of negative curves on rational surfaces
(with Lutz Hille).
Nagoya Math. J., DOI:10.1017/nmj.2017.40

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

arXiv:1607.08198
Rigid divisors on surfaces
(with Andreas Hochenegger).

arXiv:1512.01482
Discrete triangulated categories
(with Nathan Broomhead and David Pauksztello).
Bull. Lond. Math. Soc., DOI:10.1112/blms.12125

arXiv:1511.06550
Stability of Picard sheaves
(with Georg Hein).
J. Geom. Phys. 122 (2017), 5968.
In VBAC2015: FourierMukai, 34 years on.

arXiv:1502.06838
Spherical subcategories in representation theory
(with Andreas Hochenegger and Martin Kalck).
Math. Zeitschrift. 291 (2019) 113147.

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), 273300.

arXiv:1312.5203
Discrete derived categories I: homomorphisms, autoequivalences and tstructures
(with Nathan Broomhead and David Pauksztello).
Math. Z. 285(1) (2017), 3989.

arXiv:1212.4604
On autoequivalences of some CalabiYau and hyperkähler varieties
(with Pawel Sosna).
Int. Math. Res. Notices 22 (2014), 60946110.

arXiv:1208.5691
Averaging tstructures and extension closure of aisles
(with Nathan Broomhead and David Pauksztello).
J. Algebra 394 (2013), 5178.

arXiv:1208.4046
Spherical subcategories in algebraic geometry
(with Andreas Hochenegger and Martin Kalck).
Math. Nachr. 289(1112) (2016), 14501465.

arXiv:1206.4558
FourierMukai partners and polarised K3 surfaces
(with Klaus Hulek).
Arithmetic and Geometry of K3 Surfaces and CalabiYau Threefolds;
Fields Institute Communications, Vol. 67. Springer, 2013.

arXiv:1102.5024
A geometric construction of CoxeterDynkin diagrams of bimodal singularities
(with Wolfgang Ebeling).
Manuscripta Math. 140 (2013), 195212.

arXiv:1010.1717
Autoequivalences of toric surfaces
(with Nathan Broomhead).
Proc. Amer. Math. Soc. 142, no. 4 (2014), 11331146.

arXiv:0903.4692
Poincaré series and Coxeter functors for Fuchsian singularities
(with Wolfgang Ebeling).
Adv. Math. 225 (2010), 13871398.

arXiv:0901.1554
Postnikovstability versus semistability of sheaves
(with Georg Hein).
Asian J. Math. 18, no. 2 (2014), 247262.

arXiv:0809.2738
McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities
(with Wolfgang Ebeling).
Math. Ann. 347 (2010), 689702.

arXiv:0704.2512
Postnikovstability for complexes on curves and surfaces
(with Georg Hein)
Int. J. Math. 23/2 (2012), 1250048, 20 pages.

arXiv:math.0508625
Equivariant autoequivalences for finite group actions
Adv. Math. 216 (2007), 6274.
Other articles
 Groups of autoequivalences of derived categories of smooth projective varieties
pdffile
This is my PhD thesis, handed in January 31, 2005. 70 pages.
My supervisor was Daniel Huybrechts.
 FourierMukai transforms and stable bundles on elliptic curves
(with Georg Hein)
pdffile
Beiträge Algebra Geom. 46, no. 2 (2005), 423434.
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.
 Every other Hodge isometry of the cohomology of a K3 surface is
induced by an autoequivalence of the derived category
pdffile
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.
 Comparing Coxeter functors made from exceptional and spherical objects
pdffile
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.