TY - JOUR
T1 - A counterexample to vanishing conjectures for negative K-theory
AU - Neeman, Amnon
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.
PY - 2021/8
Y1 - 2021/8
N2 - In a 2006 article Schlichting conjectured that the negative K–theory of any abelian category must vanish. This conjecture was generalized in a 2019 article by Antieau, Gepner and Heller, who hypothesized that the negative K–theory of any category with a bounded t–structure must vanish. Both conjectures will be shown to be false.
AB - In a 2006 article Schlichting conjectured that the negative K–theory of any abelian category must vanish. This conjecture was generalized in a 2019 article by Antieau, Gepner and Heller, who hypothesized that the negative K–theory of any category with a bounded t–structure must vanish. Both conjectures will be shown to be false.
UR - http://www.scopus.com/inward/record.url?scp=85099983660&partnerID=8YFLogxK
U2 - 10.1007/s00222-021-01034-4
DO - 10.1007/s00222-021-01034-4
M3 - Article
SN - 0020-9910
VL - 225
SP - 427
EP - 452
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
IS - 2
ER -