Maximal isotropic subbundles of orthogonal bundles of odd rank over a curve
Journal article, Peer reviewed
Electronic version of an article published as choe, i., & hitching, g. h. (2015). maximal isotropic subbundles of orthogonal bundles of odd rank over a curve. international journal of mathematics, 26(13), 1550106. http://dx.doi.org/10.1142/ s0129167 x15501062 © world scientific publishing company
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https://hdl.handle.net/10642/3178Utgivelsesdato
2015-11-25Metadata
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Originalversjon
Choe, I., & Hitching, G. H. (2015). Maximal isotropic subbundles of orthogonal bundles of odd rank over a curve. International Journal of Mathematics, 26(13), 1550106. http://dx.doi.org/10.1142/S0129167X15501062Sammendrag
An orthogonal bundle over a curve has an isotropic Segre invariant determined by the maximal degree of a maximal isotropic subbundle. This in- variant and the induced strati cations on moduli spaces of orthogonal bundles were studied for bundles of even rank in [4]. In this paper, we obtain analogous results for bundles of odd rank. We compute the sharp upper bound on the isotropic Segre invariant. Also we show the irreducibility of the induced strata on the moduli spaces of orthogonal bundles of odd rank, and compute their dimensions.