august 2020 Some remarks on phantom categories and motives
Pawel Sosna
Bull. Belg. Math. Soc. Simon Stevin 27(3): 337-352 (august 2020). DOI: 10.36045/bbms/1599616818

Abstract

A phantom category is an admissible subcategory with vanishing Grothendieck group of the bounded derived category of coherent sheaves on a smooth projective variety. The goal of this paper is to study the abstract situation when such a category appears and establish some results which provide evidence for the idea that these categories are invisible on the level of Chow motives.

Citation

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Pawel Sosna. "Some remarks on phantom categories and motives." Bull. Belg. Math. Soc. Simon Stevin 27 (3) 337 - 352, august 2020. https://doi.org/10.36045/bbms/1599616818

Information

Published: august 2020
First available in Project Euclid: 9 September 2020

MathSciNet: MR4146735
Digital Object Identifier: 10.36045/bbms/1599616818

Subjects:
Primary: 14C15 , 14F05

Keywords: Chow motive , derived category , phantom category

Rights: Copyright © 2020 The Belgian Mathematical Society

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Vol.27 • No. 3 • august 2020
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