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arXiv · 1312.0963

Orthogonal bundles and skew-Hamiltonian matrices

Roland Abuaf·Ada Boralevi
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Abstract

Using properties of skew-Hamiltonian matrices and classic connectedness results, we prove that the moduli space $M_{ort}^0(r,n)$ of stable rank $r$ orthogonal vector bundles on $\mathbb{P}^2$, with Chern classes $(c_1,c_2)=(0,n)$, and trivial splitting on the general line, is smooth irreducible of dimension $(r-2)n-{r \choose 2}$ for specific values of $r$ and $n$.

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Roland Abuaf, Ada Boralevi. 2013-12-03. Orthogonal bundles and skew-Hamiltonian matrices. https://doi.org/10.4153/cjm-2014-034-9

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