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| 開催情報 | 水曜日 17:00～18:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 今井 直毅，ケリー シェーン |
2013年06月19日(水)
16:40-17:40 数理科学研究科棟(駒場) 056号室
甲斐 亘 氏 (東京大学数理科学研究科)
A p-adic exponential map for the Picard group and its application to curves (JAPANESE)
甲斐 亘 氏 (東京大学数理科学研究科)
A p-adic exponential map for the Picard group and its application to curves (JAPANESE)
[ 講演概要 ]
Let mathcalX be a proper flat scheme over a complete discrete valuation ring Ok of characteristic (0,p). We define an exponential map from a subgroup of the first cohomology group of O_¥mathcal{X} to the Picard group of \\mathcal{X}, mimicking the classical construction in complex geometry. This exponential map can be applied to prove a surjectivity property concerning the Albanese variety Alb_{X} of a smooth variety X over k.
Let mathcalX be a proper flat scheme over a complete discrete valuation ring Ok of characteristic (0,p). We define an exponential map from a subgroup of the first cohomology group of O_¥mathcal{X} to the Picard group of \\mathcal{X}, mimicking the classical construction in complex geometry. This exponential map can be applied to prove a surjectivity property concerning the Albanese variety Alb_{X} of a smooth variety X over k.
