# Fullness of exceptional collections via stability conditions -- A case study: the quadric threefold

@inproceedings{Bolognese2021FullnessOE, title={Fullness of exceptional collections via stability conditions -- A case study: the quadric threefold}, author={Barbara Bolognese and Domenico Fiorenza}, year={2021} }

A powerful tool of investigation of Fano varieties is provided by exceptional collections in their derived categories. Proving the fullness of such a collection is generally a nontrvial problem, usually solved on a case-by-case basis, with the aid of a deep understanding of the underlying geometry. Likewise, when an exceptional collection is not full, it is not straightforward to determine whether its “residual” category, i.e., its right orthogonal, is the derived category of a variety. We show…

## One Citation

### A note on Bridgeland moduli spaces and moduli spaces of sheaves on $$X_{14}$$ and $$Y_3$$

- ArtMathematische Zeitschrift
- 2022

<jats:p>We study Bridgeland moduli spaces of semistable objects of <jats:inline-formula><jats:alternatives><jats:tex-math>$$(-1)$$</jats:tex-math><mml:math…

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