Forschung
- Zusammenfassung
- Publikationen
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Wir beschäftigen uns zumeist mit Themen aus der algebraischen oder komplexen Geometrie. Im folgenden finden Sie einige Stichpunkte, was uns genauer interessiert:
- Holomorph symplektische Mannigfaltigkeiten und Lagrange-Faserungen
- Komplexe Flächen (von allgemeinem Typ) und deren Modulräume
- Der Modulraum der stabilen Flächen
- Nilmannigfaltigkeiten mit links-invarianter komplexer Struktur
- Moduln von Kähler-Differentialen
Wenn Sie mehr wissen wollen, kommen Sie in unser Oberseminar oder sprechen Sie uns an!
Unsere Forschung wird zur Zeit von der Deutschen Forschungsgemeinschaft im Rahmen des Emmy-Noether-Programms und des SFB 701 (Project C11 gemeinsam mit A. Haydys) gefördert.
Publikationen und Preprints
- 2014
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- Giovanni Bazzoni, Juan Carlos Marrero, Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics (arxiv)
- Giovanni Bazzoni, Vicente Muñoz, Manifolds which are complex and symplectic but not Kähler (arxiv)
- Sönke Rollenske, A new irreducible component of the moduli space of stable Godeaux surfaces (arxiv)
- Giovanni Bazzoni, Oliver Goertsches, K-cosymplectic manifolds (arxiv)
- Marco Franciosi, Rita Pardini, Sönke Rollenske, Computing invariants of semi-log-canonical surfaces (arxiv)
- Marco Franciosi, Rita Pardini, Sönke Rollenske, Log-canonical pairs and Gorenstein stable surfaces with $K_X^2=1$ (arxiv)
- Wenfei Liu, Sönke Rollenske: Pluricanonical maps of stable log surfaces, Adv. Math. 258 (2014), 69--126. (arxiv)
- Laura Bigalke und Sönke Rollenske: Erratum to: The Frölicher spectral sequence can be arbitrarily non-degenerate Math. Ann., Volume 358, Issue 3-4, pp 1119-1123, 2014. (Journal)
- Christian Lehn, Daniel Greb und Sönke Rollenske: Lagrangian fibrations on hyperkähler fourfolds,Izvestiya: Mathematics, Volume 78(1), 22-33, 2014. (Journal) (arxiv)
- 2013
- 2012
- Jin-Xing Cai, Wenfei Liu, Lei Zhang: Automorphisms of surfaces of general type with q>=2 acting trivially in cohomology, 2012, (arxiv)
- Fabrizio Catanese, Wenfei Liu, Roberto Pignatelli: The moduli space of even surfaces of general type with K^2=8, p_g=4 and q=0, 2012, (arxiv)
- Wenfei Liu: Stable degenerations of surfaces isogenous to a product II, Trans. Amer. Math. Soc. 364 (2012), 2411-2427 (Journal)
- Markus Zowislok: On moduli spaces of sheaves on K3 or abelian surfaces, Math. Zeit. 272, (3-4), 1195-1217, 2012. (Journal)
- Wenfei Liu, Sönke Rollenske: Two-dimensional semi-log-canonical hypersurfaces, Le Matematiche, Vol.67 (2), 2012. (pdf)
- Jin-Xing Cai, Wenfei Liu, Lei Zhang: Automorphisms of surfaces of general type with q>=2 acting trivially in cohomology, 2012, (arxiv)
- 2011
- Christian Lehn, Daniel Greb und Sönke Rollenske: Lagrangian fibrations on hyperkähler fourfolds, 2011. (arxiv)
- Daniel Greb, Sönke Rollenske: Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities, Math. Res. Lett. 18, no. 6, 1259--1269, 2011. (Journal)
- Oliver Goertsches, Sönke Rollenske: Torsion in equivariant cohomology and Cohen-Macaulay G-actions,Transformation Groups, Volume 16, Nummer 4, 1063-1080, 2011. (arxiv), (The original publication is available at www.springerlink.com.)
- Sönke Rollenske: The computation of the number of connected components, Appendix to Matteo Penegini, Surfaces isogenous to a product with p_g=q=2, Collectanea Math. 62 (3), 2011. (link)
- Sönke Rollenske: Dolbeault cohomology of nilmanifolds with left-invariant complex structure, Complex and Differential Geometry, Conference held at Leibniz Universität Hannover, September 14 -- 18, 2009, vol. 8 of Springer Proceedings in Mathematics, Springer, 2011. (pdf)
- Sönke Rollenske: The Kuranishi space of complex parallelisable nilmanifolds, Journal of the European Mathematical Society, 13 (3), 513--531, 2011. (pdf)
- Christian Lehn, Daniel Greb und Sönke Rollenske: Lagrangian fibrations on hyperkähler fourfolds, 2011. (arxiv)
- 2010
- Sönke Rollenske: Compact Moduli for certain Kodaira Fibrations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX (2010), 851-874. (pdf)
- Sönke Rollenske: Compact Moduli for certain Kodaira Fibrations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX (2010), 851-874. (pdf)
- 2009
- Sönke Rollenske, Richard P. Thomas: Smoothing nodal Calabi-Yau n-folds, J. Topology 2, 405-421, 2009. (pdf)
- Sönke Rollenske: Geometry of nilmanifolds with left-invariant complex structure and deformations in the large, Proc. London Math. Soc., 99, 425-460, 2009. (pdf)
- Sönke Rollenske: Lie-algebra dolbeault cohomology and small deformations of nilmanifolds, J. London Math. Soc., 79(2), 346-362, 2009. (pdf)
- Fabrizio Catanese, Sönke Rollenske: Double Kodaira Fibrations, J. Reine Angew. Math. 628, 205-233, 2009. (pdf)
- 2008 & 2007
- Sönke Rollenske: The Frölicher spectral sequence can be arbitrarily non degenerate, Math. Ann., 341(3), 623-628, 2008. (pdf)
(The original publication is available at www.springerlink.com.) - Sönke Rollenske: Q.E.D. for Kodaira surfaces, Appendix zu Fabrizio Catanese, Q.E.D. for algebraic varieties, J. Differential Geom., 77(1), 43-75, 2007. (pdf)
- Sönke Rollenske: The Frölicher spectral sequence can be arbitrarily non degenerate, Math. Ann., 341(3), 623-628, 2008. (pdf)
- Abschlussarbeiten von Sönke Rollenske