caa a22 4500 445836113 CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00209-009-0655-z doi (NATIONALLICENCE)springer-10.1007/s00209-009-0655-z Remarks on derived equivalences of Ricci-flat manifolds [Elektronische Daten] [Daniel Huybrechts, Marc Nieper-Wisskirchen] After a finite étale cover, any Ricci-flat Kähler manifold decomposes into a product of complex tori, irreducible holomorphic symplectic manifolds, and Calabi-Yau manifolds. We present results indicating that this decomposition is an invariant of the derived category. The main idea to distinguish the derived category of an irreducible holomorphic symplectic manifold from that of a Calabi-Yau manifold is that point sheaves do not deform in certain (non-commutative) deformations of the former, whereas they do for the latter. On the way, we prove a conjecture of Căldăraru on the module structure of the Hochschild-Kostant-Rosenberg isomorphism for manifolds with trivial canonical bundle as a direct consequence of recent work by Calaque, van den Bergh, and Ramadoss. Springer-Verlag, 2009 Huybrechts Daniel Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut Nieper-Wisskirchen Marc Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, 86159, Augsburg, Germany aut Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 939-963 0025-5874 267:3-4<939 2011 267 209 https://doi.org/10.1007/s00209-009-0655-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0655-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huybrechts Daniel Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut NATIONALLICENCE 700 1- Nieper-Wisskirchen Marc Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, 86159, Augsburg, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 939-963 0025-5874 267:3-4<939 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer