Geometric model for module categories of Dynkin quivers via hearts of total stability conditions
JOURNAL OF ALGEBRA(2024)
摘要
We derive a geometric model for the module category mod kQ of a Dynkin quiver Q via the heart of a total stability condition on the bounded derived category of mod kQ. As an application, we prove Reineke's conjecture that there is a stability function on mod kQ making any indecomposables stable.(c) 2023 Elsevier Inc. All rights reserved.
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关键词
Total stability condition,Dynkin diagram,Module category,Derived category,Reineke's conjecture
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