Walls and asymptotics for Bridgeland stability conditions on threefolds

14 Jun 2022, 10:00
1h
BellaVista Relax Hotel

BellaVista Relax Hotel

Via Vittorio Emanuele III, 7, 38056 Levico Terme TN
In-person Talk

Speaker

Marcos Jardim (Universidade Estadual de Campinas, Brazil​)

Description

Let $X$ be a smooth projective threefold of Picard number one for which the generalized Bogomolov--Gieseker inequality holds, and consider the geometric Brigdeland stability conditions conjectured by Macri--Bayer--Toda. We characterize limit semistable objects, showing that these are Gieseker semistable sheaves for large values of $|\beta|$ and a higher rank generalization of PT stable pairs for large values of $\alpha$. We also discuss properties of walls and provide a precise description of the Bridgeland moduli spaces for Chern characters of the form $(r,0,d,0)$ in certain regions of the $(\alpha,\beta)$ plane.

Primary author

Marcos Jardim (Universidade Estadual de Campinas, Brazil​)

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