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

Fabian Reede

doi:10.1007/s40687-023-00405-y

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

Algebraic Geometry 2023-10-06 v2

Authors: 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.

Keywords

hilbert scheme vector bundles

Cite

@article{arxiv.2206.04578,
  title  = {Stability and certain $\mathbb{P}^n$-functors},
  author = {Fabian Reede},
  journal= {arXiv preprint arXiv:2206.04578},
  year   = {2023}
}

Comments

8 pages. Comments welcome! v2: shorter title, slight improvements after referee report. Final version

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