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A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE
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 Title & Authors
A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE
Kang, Eun-Ju; Kim, Seon-Jeong;
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 Abstract
We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.
 Keywords
Weierstrass semi group at a pair;Weierstrass semigroup at a point;inflection point;
 Language
English
 Cited by
1.
On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type, Semigroup Forum, 2015, 91, 2, 517  crossref(new windwow)
2.
An example of the Weierstrass semigroup of a pointed curve on K3 surfaces, Semigroup Forum, 2013, 86, 2, 395  crossref(new windwow)
 References
1.
M. Coppens and T. Kato, The Weierstrass gap sequence at an inflection point on a nodal plane curve, aligned inflection points on plane curves, Boll. Un. Mat. Ital. B (7) 11 (1997), no. 1, 1-33

2.
M. Homma, The Weierstrass semigroup of a pair of points on a curve, Arch. Math. (Basel) 67 (1996), no. 4, 337-348 crossref(new window)

3.
S. J. Kim, On the index of the Weierstrass semigroup of a pair of points on a curve, Arch. Math. (Basel) 62 (1994), no. 1, 73-82 crossref(new window)

4.
S. J. Kim and J. Komeda, Weierstrass semigroups of a pair of points whose first nongaps are three, Geom. Dedicata 93 (2002), 113-119 crossref(new window)