We study subsets S of curves X whose double structure does not impose independent conditions to a linear series L, but there are divisors D∈ | L| singular at all points of S. These subsets form the Terracini loci of X. We investigate Terracini loci, with a special look towards their non-emptiness, mainly in the case of canonical curves, and in the case of space curves.
Ballico, E., Chiantini, L. (2023). Terracini loci of curves. REVISTA MATEMATICA COMPLUTENSE [10.1007/s13163-023-00467-0].
Terracini loci of curves
Chiantini L.
2023-01-01
Abstract
We study subsets S of curves X whose double structure does not impose independent conditions to a linear series L, but there are divisors D∈ | L| singular at all points of S. These subsets form the Terracini loci of X. We investigate Terracini loci, with a special look towards their non-emptiness, mainly in the case of canonical curves, and in the case of space curves.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1234495