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On Very Ample Vector Bundles on Curves

1997; World Scientific; Volume: 08; Issue: 05 Linguagem: Inglês

10.1142/s0129167x97000330

1793-6519

Paltin Ionescu, Matei Toma,

Advanced Algebra and Geometry

We study very ample vector bundles on curves. We first give numerical conditions for the existence of non-special such bundles. Then we prove the inequality [Formula: see text] over curves of genus at least two. We apply this to prove some special cases of a conjecture on scrolls of small codimension.