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Research of Olaf Schnürer

Preprints (link to preprints on arXiv)

  1. The inclusion of small modules into big ones: Is it fully faithful on unbounded derived categories?, with Leonid Positselski, 2020.
  2. Decompositions of derived categories of gerbes and of families of Brauer-Severi varieties, with Daniel Bergh, 2019.
  3. Homotopy categories and idempotent completeness, weight structures and weight complex functors, 2011.

Articles in refereed journals (links to my MathSciNet and zbMATH entries)

  1. Conservative descent for semi-orthogonal decompositions, with Daniel Bergh, Advances in Mathematics 360 (2020). Arxiv version.
  2. Smoothness of Derived Categories of Algebras, with Alexey Elagin and Valery A. Lunts, 2018, accepted by Moscow Mathematical Journal.
  3. Six operations on dg enhancements of derived categories of sheaves, Selecta Mathematica 24 (2018), no. 3, 1805-1911. Arxiv version.
  4. Geometricity for derived categories of algebraic stacks, with Daniel Bergh and Valery A. Lunts, Selecta Mathematica 22 (2016), no. 4, 2535–2568, full-text view-onlyArxiv version.
  5. Motivic vanishing cycles as a motivic measure, with Valery A. Lunts, Pure and Applied Mathematics Quarterly 12 (2016), no. 1, 33–74. Arxiv version.
  6. New enhancements of derived categories of coherent sheaves and applications, with Valery A. Lunts, Journal of Algebra 446 (2016), 203–274. Arxiv version.
  7. Matrix factorizations and motivic measures, with Valery A. Lunts, Journal of Noncommutative Geometry 10 (2016), no. 3, 981–1042. Arxiv version.
  8. Matrix factorizations and semi-orthogonal decompositions for blowing-ups, with Valery A. Lunts, Journal of Noncommutative Geometry 10 (2016), no. 3, 907–979. Arxiv version.
  9. Proper base change for separated locally proper maps, with Wolfgang Soergel, Rendiconti del Seminario Matematico della Università di Padova 135 (2016), 223-250. ArXiv version.
  10. Smoothness of equivariant derived categories, with Valery A. Lunts, Proceedings of the London Mathematical Society (3) 108 (2014), no. 5, 1226–1276. ArXiv version.
  11. Equivariant Sheaves on Flag Varieties, Mathematische Zeitschrift 267 (2011), no. 1-2, 27-80.ArXiv version. 
  12. Perfect Derived Categories of Positively Graded DG Algebras, Applied Categorical Structures 19 (2011), no. 5, 757-782. ArXiv version.
  13. Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc, Journal of Lie Theory 17 (2007), No. 2, 427-448. ArXiv version.


  1. On Beilinson’s realization functor, with Ester Cabezuelo Fernández, appendix to Realisation functors in tilting theory by Chrysostomos Psaroudakis, Jorge Vitória, Mathematische Zeitschrift 22 (2016), no. 4, 2535–2568. Arxiv version.

Conference Proceedings

  1. Six operations on dg enhancements of derived categories of sheaves and applications, to appear in Extended Abstracts Spring 2015, Research Perspectives CRM Barcelona. Conference Opening Perspectives in Algebra, Representations, and Topology (OP-ART).
  2. Some enhancements of derived categories of coherent sheaves and applications in Oberwolfach Report, Volume 11, Issue 2, 2014. Workshop Interactions between Algebraic Geometry and Noncommutative Algebra.
  3. Matrix factorizations, semiorthogonal decompositions, and motivic measures, in Oberwolfach Report, Volume 10, Issue 3, 2013. Workshop Matrix Factorizations in Algebra, Geometry, and Physiscs.
  4. Equivariant sheaves on flag varieties, in Oberwolfach Report, Volume 6, Issue 1, 2009.Workshop Enveloping Algebras and Geometric Representation Theory.Theses



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