Existence of vector bundles of rank two with fixed determinant and sections
classification
🧮 math.AG
keywords
bundlesdeterminantexistencefixedranksectionsvectorcomponent
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Consider the scheme B_{2,L}^k of stable vector bundles of rank two and fixed determinant L which have at least k sections. Under suitable numerical conditions and for generic L, we show the existence of a component of the expected dimension of B_{2,L}^k.
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