Geodesic
A combinatorial interpretation for Schreyer's tetragonal invariants
Documenta mathematica, Tome 20 (2015), pp. 927-942.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: $\noindent $Schreyer has proved that the graded Betti numbers of a canonical tetragonal curve are determined by two integers $b_1$ and $b_2$, associated to the curve through a certain geometric construction. In this article we prove that in the case of a smooth projective tetragonal curve on a toric surface, these integers have easy interpretations in terms of the Newton polygon of its defining Laurent polynomial. We can use this to prove an intrinsicness result on Newton polygons of small lattice width.noindent emphMSC2010: Primary 14H45, Secondary 14M25
Classification : 14H45, 14M25 
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     title = {A combinatorial interpretation for {Schreyer's} tetragonal invariants},
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     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a15/}
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Castryck, Wouter; Cools, Filip. A combinatorial interpretation for Schreyer's tetragonal invariants. Documenta mathematica, Tome 20 (2015), pp. 927-942. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a15/