TY - JOUR UR - http://lib.ugent.be/catalog/pug01:7025898 ID - pug01:7025898 LA - eng TI - A combinatorial interpretation for Schreyer's tetragonal invariants PY - 2015 JO - (2015) DOCUMENTA MATHEMATICA SN - 1431-0643 PB - 2015 AU - Castryck, Wouter AU - Cools, Filip AB - 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. ER -Download RIS file
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001 | 7025898 | ||
005 | 20161219154334.0 | ||
008 | 160105s2015------------------------eng-- | ||
022 | a 1431-0643 | ||
024 | a 000366697700021 2 wos | ||
024 | a 1854/LU-7025898 2 handle | ||
040 | a UGent | ||
245 | a A combinatorial interpretation for Schreyer's tetragonal invariants | ||
260 | c 2015 | ||
520 | a 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. | ||
598 | a A1 | ||
100 | a Castryck, Wouter u WE01 0 802001758160 | ||
700 | a Cools, Filip | ||
650 | a Mathematics and Statistics | ||
653 | a CURVES | ||
773 | t DOCUMENTA MATHEMATICA g Doc. Math. 2015. 20 p.903-918 q 20:<903 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/7025898/file/7162551 z [open] y 25.pdf | ||
920 | a article | ||
852 | x WE b WE01 | ||
922 | a UGENT-WE |
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