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<p>In this paper we study the space of stability conditions on triangulated categories generated by an exceptional collection. We give an exact description of subspace of stability conditions generated by length 4 complete exceptional collection. From this result we give the subspace of stability conditions on ℙ<sup>1</sup> × ℙ<sup>1</sup> via a strong exceptional collection.</p>

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Space of Stability Conditions via an Exceptional Collection: Length 4 Case

  • 期刊论文

  • 发表日期：

    2025年1月5日

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  • Yunfeng Wang

摘要

In this paper we study the space of stability conditions on triangulated categories generated by an exceptional collection. We give an exact description of subspace of stability conditions generated by length 4 complete exceptional collection. From this result we give the subspace of stability conditions on ℙ1 × ℙ1 via a strong exceptional collection.