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<p>We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.</p>

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Semistability conditions defined by ample classes

  • 期刊论文

  • 发表日期：

    2025年1月20日

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  • Damien Mégy,
  • Mihai Pavel,
  • Matei Toma

摘要

We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.