The paper proves a Bogomolov-Gieseker type inequality for local P^3 and uses it to construct families of geometric stability conditions and boundary points of the geometric chamber.
Constructive exceptional bundles on $\mathbb{P}^3$
1 Pith paper cite this work. Polarity classification is still indexing.
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Pith paper citing it
abstract
We give a complete classification of the Chern characters of constructive exceptional vector bundles on $\mathbb{P}^3$ analogous to the work of Dr\'ezet and Le Potier on $\mathbb{P}^2$, and using this classification prove that a constructive exceptional bundle $E$ on $\mathbb{P}^3$ with $\mu(E) \geq 0$ is globally generated.
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2025 1verdicts
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Stability conditions on the canonical line bundle of $\mathbb{P}^3$
The paper proves a Bogomolov-Gieseker type inequality for local P^3 and uses it to construct families of geometric stability conditions and boundary points of the geometric chamber.