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arXiv · 2206.04578

Stability and certain $\mathbb{P}^n$-functors

Fabian Reede
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Abstract

Let $X$ be a K3 surface. We prove that Addington's $\mathbb{P}^n$-functor between the derived categories of $X$ and the Hilbert scheme of points $X^{[k]}$ maps stable vector bundles on $X$ to stable vector bundles on $X^{[k]}$, given some numerical conditions are satisfied.

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Fabian Reede. 2022-06-09. Stability and certain $\mathbb{P}^n$-functors. https://doi.org/10.1007/s40687-023-00405-y

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