Formality conjecture for K3 surfaces.
In: Compositio Mathematica, Jg. 155 (2019-05-01), Heft 5, S. 902-911
Online
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Zugriff:
We give a proof of the formality conjecture of Kaledin and Lehn: on a complex projective K3 surface, the differential graded (DG) algebra RHom• (F,F) is formal for any sheaf F polystable with respect to an ample line bundle. Our main tool is the uniqueness of the DG enhancement of the bounded derived category of coherent sheaves. We also extend the formality result to derived objects that are polystable with respect to a generic Bridgeland stability condition. [ABSTRACT FROM AUTHOR]
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Formality conjecture for K3 surfaces.
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Autor/in / Beteiligte Person: | Budur, Nero ; Zhang, Ziyu |
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Zeitschrift: | Compositio Mathematica, Jg. 155 (2019-05-01), Heft 5, S. 902-911 |
Veröffentlichung: | 2019 |
Medientyp: | academicJournal |
ISSN: | 0010-437X (print) |
DOI: | 10.1112/S0010437X19007206 |
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