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ガロア第一論文と乗数イデアル他関連資料スレ11



861 名前::17:28.90 ID:FzpILQ+n.net mailto: >>771 追加

ふっふ、ほっほ
数学では
日本語情報は、英語情報の百分の一といわれる
今回も、K3 surface History 、英語情報が圧倒的に詳しい

(参考)
ja.wikipedia.org/wiki/K3%E6%9B%B2%E9%9D%A2
K3曲面
K3曲面はラマヌジャンが1910年代に発見したが未発表に終わり[1][2]、後に Weil (1958) が再発見して、3人の代数幾何学者(クンマー、ケーラー、小平邦彦)と当時未踏峰だったK2に因みK3曲面と名付けた。

en.wikipedia.org/wiki/K3_surface
K3 surface

History
Quartic surfaces in
P^3 were studied by Ernst Kummer, Arthur Cayley, Friedrich Schur and other 19th-century geometers. More generally, Federigo Enriques observed in 1893 that for various numbers g, there are surfaces of degree 2g−2 in
P^g with trivial canonical bundle and irregularity zero.[29] In 1909, Enriques showed that such surfaces exist for all
g≥3, and Francesco Severi showed that the moduli space of such surfaces has dimension 19 for each g.[30]
André Weil (1958) gave K3 surfaces their name (see the quotation above) and made several influential conjectures about their classification. Kunihiko Kodaira completed the basic theory around 1960, in particular making the first systematic study of complex analytic K3 surfaces which are not algebraic. He showed that any two complex analytic K3 surfaces are deformation-equivalent and hence diffeomorphic, which was new even for algebraic K3 surfaces. An important later advance was the proof of the Torelli theorem for complex algebraic K3 surfaces by Ilya Piatetski-Shapiro and Igor Shafarevich (1971), extended to complex analytic K3 surfaces by Daniel Burns and Michael Rapoport (1975).
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