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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Contractibility of the stability manifold for silting-discrete algebas
AU - Pauksztello, David
AU - Saorin, Manuel
AU - Zvonareva, Alexandra
N1 - © 2018 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a corollary, we obtain that the space of Bridgeland stability conditions for a silting-discrete algebra is contractible.
AB - We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a corollary, we obtain that the space of Bridgeland stability conditions for a silting-discrete algebra is contractible.
KW - Bounded t-structure
KW - silting-discrete
KW - stability condition
U2 - 10.1515/forum-2017-0120
DO - 10.1515/forum-2017-0120
M3 - Journal article
VL - 30
SP - 1255
EP - 1263
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 5
ER -