We show that a P-object and simple con figurations 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.

Formality of P-objects / A. Hochenegger, A. Krug. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 155:5(2019), pp. 973-994. [10.1112/S0010437X19007218]

Formality of P-objects

A. Hochenegger
Primo
;
2019

Abstract

We show that a P-object and simple con figurations 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.
P-object; formality of endomorphism algebras; triangulated category
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/642143
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