Algebraic geometry of the eigenvector mapping for a free rigid body

AbstractThe present paper deals with the algebro-geometric aspects of the eigenvector mapping for a free rigid body. The eigenvector mapping is regarded as a rational mapping to the complex projective plane from the product of the elliptic curves, one of which is the integral curve and the other the spectral curve. This is the space of the necessary data to determine the eigenvectors. The eigenvector mapping admits a factorisation through a Kummer surface, which is a double covering of the projective plane branched along a sextic curve associated with the dynamics. The key of the argument is the Cremona transformation of the projective plane and some elliptic fibrations of the Kummer surface

ダイニシュヒョウジュンテキジツブブンタヨウタイニタイスルセイソクカクチョウモンダイ

京都大学0048新制・論文博士理学博士乙第1853号論理博第359号新制||理||146(附属図書館)3173UT51-46-G132(主査)教授 松浦 重武, 教授 中野 茂男, 教授 溝畑 茂学位規則第5条第2項該当Kyoto UniversityDA