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Formality of ℙ-objects

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Andreas Hochenegger
  • Andreas Krug

External Research Organisations

  • University of Milan - Bicocca (UNIMIB)
  • Philipps-Universität Marburg

Details

Original languageEnglish
Pages (from-to)973-994
Number of pages22
JournalCompositio Mathematica
Volume155
Issue number5
Early online date3 May 2019
Publication statusPublished - May 2019
Externally publishedYes

Abstract

We show that a ℙ-object and simple configurations of ℙ-objects have a formal derived endomorphism algebra. Hence the triangulated category (classically) generated by such objects is independent of the ambient triangulated category. We also observe that the category generated by the structure sheaf of a smooth projective variety over the complex numbers only depends on its graded cohomology algebra.

ASJC Scopus subject areas

Cite this

Formality of ℙ-objects. / Hochenegger, Andreas; Krug, Andreas.
In: Compositio Mathematica, Vol. 155, No. 5, 05.2019, p. 973-994.

Research output: Contribution to journal › Article › Research › peer review

Hochenegger A, Krug A. Formality of ℙ-objects. Compositio Mathematica. 2019 May;155(5):973-994. Epub 2019 May 3. doi: 10.1112/S0010437X19007218, 10.48550/arXiv.1709.06434
Hochenegger, Andreas ; Krug, Andreas. / Formality of ℙ-objects. In: Compositio Mathematica. 2019 ; Vol. 155, No. 5. pp. 973-994.
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