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arXiv · 2511.13930

Bridgeland walls destabilizing one-dimensional space sheaves

Daniel Bernal·Cristian Martinez
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Abstract

Following the setup proposed by Jardim-Maciocia-Martinez in the case of the projective space, we study some numerical and actual Bridgeland walls for the (twisted) Chern character $v=(-R,0,D,0)$ in certain half-plane of stability conditions, where walls are nested and finite. We give bounds for the largest numerical wall that may appear. When $R=0$, these bounds in particular produce the first known bounds for the Gieseker chamber in the case of a threefold. We also study the cases $R=0$ and $D=3,4$ in detail using a small algorithm in Python.

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Daniel Bernal, Cristian Martinez. 2025-11-17. Bridgeland walls destabilizing one-dimensional space sheaves. https://arxiv.org/abs/2511.13930

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