代数幾何学セミナー

過去の記録 ~09/22次回の予定今後の予定 09/23~

開催情報 火曜日 15:30~17:00 数理科学研究科棟(駒場) 122号室
担当者 權業 善範・中村 勇哉・田中公

2018年06月12日(火)

15:30-17:00   数理科学研究科棟(駒場) 122号室
柴田 崇広 氏 (京都大学)
Ample canonical heights for endomorphisms on projective varieties (English or Japanese)
[ 講演概要 ]
Given a smooth projective variety on a number field and an
endomorphism on it, we would like to know how the height of a point
grows by iteration of the action of the endomorphism. When the
endomorphism is polarized, Call and Silverman construct the canonical
height, which is an important tool for the calculation of growth of
heights. In this talk, we will give a generalization of the Call-
Silverman canonical heights for not necessarily polarized endomorphisms,
ample canonical heights, and propose an analogue of the Northcott
finiteness theorem as a conjecture. We will see that the conjecture
holds when the variety is an abelian variety or a surface.