Abstract
This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints about the usage of some packages of the computer algebra software Singular are also given; these are however only valid for curves defined over \(\mathbb {F}_p\) with p a prime number.
The author was partially supported by the Spanish Government—Ministerios de Ciencia e Innovación y de Universidades, grant PGC2018-096446-B-C22, as well as by the University Jaume I of Castellón, grant UJI-B2018-10.
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Moyano-Fernández, J.J. (2020). On Multi-Index Filtrations Associated to Weierstraß Semigroups. In: Barucci, V., Chapman, S., D'Anna, M., Fröberg, R. (eds) Numerical Semigroups . Springer INdAM Series, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-030-40822-0_14
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