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arXiv · 1703.09350

Tilting chains of negative curves on rational surfaces

Lutz Hille·David Ploog
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Abstract

We introduce the notion of exact tilting objects, which are partial tilting objects $T$ inducing an equivalence between the abelian category generated by $T$ and the category of modules over the endomorphism algebra of $T$. Given a chain of sufficiently negative rational curves on a rational surface, we construct an exceptional sequence whose universal extension is an exact tilting object. For a chain of (-2)-curves, we obtain an equivalence with modules over a well known algebra.

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Lutz Hille, David Ploog. 2017-03-27. Tilting chains of negative curves on rational surfaces. https://doi.org/10.1017/nmj.2017.40

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