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
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arXiv:1903.08009
Displaying the cohomology of toric line bundles
(with Klaus Altmann).
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arXiv:1709.03618
Exceptional sequences and spherical modules for the Auslander algebra of k[x]/(xt)
(with Lutz Hille).
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arXiv:1703.09350
Tilting chains of negative curves on rational surfaces
(with Lutz Hille).
Nagoya Math. J., DOI:10.1017/nmj.2017.40
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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
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arXiv:1607.08198
Rigid divisors on surfaces
(with Andreas Hochenegger).
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arXiv:1512.01482
Discrete triangulated categories
(with Nathan Broomhead and David Pauksztello).
Bull. Lond. Math. Soc., DOI:10.1112/blms.12125
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arXiv:1511.06550
Stability of Picard sheaves
(with Georg Hein).
J. Geom. Phys. 122 (2017), 59-68.
In VBAC2015: Fourier-Mukai, 34 years on.
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arXiv:1502.06838
Spherical subcategories in representation theory
(with Andreas Hochenegger and Martin Kalck).
Math. Zeitschrift. 291 (2019) 113-147.
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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.
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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.
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arXiv:1212.4604
On autoequivalences of some Calabi-Yau and hyperkähler varieties
(with Pawel Sosna).
Int. Math. Res. Notices 22 (2014), 6094-6110.
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arXiv:1208.5691
Averaging t-structures and extension closure of aisles
(with Nathan Broomhead and David Pauksztello).
J. Algebra 394 (2013), 51-78.
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arXiv:1208.4046
Spherical subcategories in algebraic geometry
(with Andreas Hochenegger and Martin Kalck).
Math. Nachr. 289(11-12) (2016), 1450-1465.
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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.
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arXiv:1102.5024
A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities
(with Wolfgang Ebeling).
Manuscripta Math. 140 (2013), 195-212.
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arXiv:1010.1717
Autoequivalences of toric surfaces
(with Nathan Broomhead).
Proc. Amer. Math. Soc. 142, no. 4 (2014), 1133-1146.
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arXiv:0903.4692
Poincaré series and Coxeter functors for Fuchsian singularities
(with Wolfgang Ebeling).
Adv. Math. 225 (2010), 1387-1398.
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arXiv:0901.1554
Postnikov-stability versus semistability of sheaves
(with Georg Hein).
Asian J. Math. 18, no. 2 (2014), 247-262.
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arXiv:0809.2738
McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities
(with Wolfgang Ebeling).
Math. Ann. 347 (2010), 689-702.
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arXiv:0704.2512
Postnikov-stability for complexes on curves and surfaces
(with Georg Hein)
Int. J. Math. 23/2 (2012), 1250048, 20 pages.
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arXiv:math.0508625
Equivariant autoequivalences for finite group actions
Adv. Math. 216 (2007), 62-74.
Other articles
- 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.
- 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.
- 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.
- 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.