Displaying similar documents to “Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve”

Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II

Komeda, Jiryo, Ohbuchi, Akira (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26. A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.

Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"

Komeda, Jiryo, Ohbuci, Akira (2006)

Serdica Mathematical Journal

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In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such that p+q+(b-2)g21(C′)∼2(q1+… +qb-1) where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof. ...

On the Difference of 4-Gonal Linear Systems on some Curves

Ohbuchi, Akira (1997)

Serdica Mathematical Journal

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Let C = (C, g^1/4 ) be a tetragonal curve. We consider the scrollar invariants e1 , e2 , e3 of g^1/4 . We prove that if W^1/4 (C) is a non-singular variety, then every g^1/4 ∈ W^1/4 (C) has the same scrollar invariants.