Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Certain holomorphic sections relating to 2-pointed Weierstrass gap sets on a compact Riemann surface
Tohru Gotoh
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2013 年 36 巻 3 号 p. 596-611

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For a compact Riemann surface X of genus g, we will construct a holomorphic section of the line bundle π1*KXg(g+1)(g+2)/6 $\otimes$ π2*KXg(g+1)(g+2)/6 over X × X whose zero set consists exactly of the points (P,Q) with the cardinalities of the Weierstrass gap sets G(P,Q) greater than the minimal value (g2 + 3g)/2.
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© 2013 Department of Mathematics, Tokyo Institute of Technology
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