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arXiv · 1611.09278

Explicit Description of A Certain Destabilizing Wall of Skyscraper Sheaves on Ruled Surfaces

Takayuki Uchiba
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Abstract

We give a explicit description of gluing stability conditions on ruled surfaces by introducing gluing perversity. Moreover, we describe a destabilizing wall of skyscraper sheaves on ruled surfaces by deformation of stability conditions glued from $\widetilde{GL^{+}}(2,\mathbb{R})$-translates of the standard stability condition on the base curve.

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Takayuki Uchiba. 2016-11-28. Explicit Description of A Certain Destabilizing Wall of Skyscraper Sheaves on Ruled Surfaces. https://arxiv.org/abs/1611.09278

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