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EWBy Takeshi TORII ..................................................................................................................... 577Level structure over

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J. MATH. KYOTO. UNIV.

VOL.39, No.3

OCTOBER 1999

CONTENTS

Well posedness in C^ for some weakly hyperbolic equations

By Ferruccio COI.OMHINI and Nicola ORRU ... 399 On the area of the complement of the invariant component of certain

b groups and on sequences of terminal regular b-groups

By Hideki MIYACHI ... 421 On the existence of extremal metrics for Ll-nmm of scalar curvature

on closed 3-manifolds

By Shu-Cheng CHANC, and Jin-Tong Wu ... 435 Singularities of multiplicative /^-closed vector fields and global 1-forms

of Zariski surfaces

By Masayuki HIROKADO ... 455 Height and arithmetic intersection for a family of semi stable curves

By Shu KAWAGUCHI ... 469 1-cocyclcs on the group of diffeoinorphisms II

By Hiroaki SHIMOMURA ... 493 The spectral gap of two dimensional ising model with a hole: Shrinking

effect of contours

By Jun WANG ... 529 Sympletic volume of the moduli space of spatial polygons

By Yasuliiko K A M I Y A M A and Michishige TF.ZUKA ... 557 Topological realization of level structure of the formal group law over

EW

By Takeshi TORII ... 577 Level structure over E ( n ) and stable splitting by Steinberg idenipotent

By Takeshi TORII ... 589

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