Abstract
We study k-jet ampleness of line bundles on hyperelliptic surfaces using vanishing theorems. Our main result states that on a hyperelliptic surface of an arbitrary type, a line bundle of type (m, m) with \({m\geq k+2}\) is k-jet ample.
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Farnik, Ł. On k-Jet Ampleness of Line Bundles on Hyperelliptic Surfaces. Mediterr. J. Math. 13, 4783–4804 (2016). https://doi.org/10.1007/s00009-016-0775-8
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DOI: https://doi.org/10.1007/s00009-016-0775-8