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Search: All articles in the CJM digital archive with keyword vector bundles

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1. CJM Online first

Abuaf, Roland; Boralevi, Ada
 Orthogonal Bundles and Skew-Hamiltonian Matrices 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-\binom{r}{2}\$ for \$r=n\$ and \$n \ge 4\$, and \$r=n-1\$ and \$n\ge 8\$. We speculate that the result holds in greater generality. Keywords:orthogonal vector bundles, moduli spaces, skew-Hamiltonian matricesCategories:14J60, 15B99

2. CJM 2014 (vol 66 pp. 961)

Baird, Thomas
 Moduli Spaces of Vector Bundles over a Real Curve: \$\mathbb Z/2\$-Betti Numbers Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's ``Yang-Mills over a Riemann Surface'' to compute \$\mathbb Z/2\$-Betti numbers of these spaces. Keywords:cohomology of moduli spaces, holomorphic vector bundlesCategories:32L05, 14P25

3. CJM 2010 (vol 62 pp. 1201)

Alzati, Alberto; Besana, Gian Mario
 Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces Very ampleness criteria for rank \$2\$ vector bundles over smooth, ruled surfaces over rational and elliptic curves are given. The criteria are then used to settle open existence questions for some special threefolds of low degree. Keywords:vector bundles, very ampleness, ruled surfacesCategories:14E05, 14J30

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