Abstract
In this paper, we investigate linear systems on hyperelliptic varieties. We prove analogues of well-known theorems on abelian varieties, like Lefschetz’s embedding theorem and higher k-jet embedding theorems. Syzygy or \(N_p\)-properties are also deduced for appropriate powers of ample line bundles. This is a first result on linear series, on hyperelliptic varieties.
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We thank the referee for pointing an error in the decomposition, in Lemma 3.4.
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Chintapalli, S., Iyer, J.N.N. Embedding theorems on hyperelliptic varieties. Geom Dedicata 171, 249–264 (2014). https://doi.org/10.1007/s10711-013-9897-3
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DOI: https://doi.org/10.1007/s10711-013-9897-3