摘要翻译:
我们研究了三角化范畴上Bridgeland-Douglas稳定性条件的一些例子。一方面,我们给出了正亏格光滑射影曲线稳定性流形的完整描述。另一方面,我们研究了由例外集合生成的三角范畴的稳定性条件。在射影线的情况下,这导致稳定流形的连通性和单连通性。
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英文标题:
《Stability conditions on curves》
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作者:
Emanuele Macri
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We study some examples of Bridgeland-Douglas stability conditions on triangulated categories. From one side we give a complete description of the stability manifolds for smooth projective curves of positive genus. From the other side we study stability conditions on triangulated categories generated by an exceptional collection. In the case of the projective line this leads to the connectedness and simply-connectedness of the stability manifold.
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PDF链接:
https://arxiv.org/pdf/0705.3794