Certain holomorphic sections relating to 2-pointed Weierstrass gap sets on a compact Riemann surface

Kodai Mathematical Journal

Tohru Gotoh¹ 

[1] Department of Mathematics The National Defense Academy

关键词: Large deviation;    Ornstein-Uhlenbeck process;    exponential change of measures;   

DOI  :  10.2996/kmj/1383660700

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(6)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.

【 授权许可】

Unknown