[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)

ガロア第一論文と乗数イデアル他関連資料スレ3 http://rio2016.5ch.net/test/read.cgi/math/1680684665/

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375: １３２人目の素数さん [] 2023/04/26(水) 16:37:53.06 ID:eVaCnEQ3 論文のほんの一部をコピペするとこうなる。 Let B—?-*X be a holomorphic line bundle over a complex manifold X and let {btj} be a system of transition functions with respect to a coordinate cover {^•}iei wrtn holomorphic coordinates (zj,..., zf). We fix a hermitian metric {at}iel along the fibers of B with respect to {l/J^/ and assume that X is provided with a Kahler metric ds2 . We set ds2= ± g^dzfdzl. a,/3=l Let CP**(X, B) be the space of B-valued differential forms on X, of class C00 and of type (p, q), and let Cfrq (X, B) be the space of the forms in CP>*(X, B) with compact supports. We express <p = {<p,0 ie/ e Cp * q (X, B) as following the notation of [7]. For <p G Cp>i(X, B), we set For simplicity we write where 4p = (a1,..., ap), Bg = (j81?..., jSg), and so on. With respect to {af}te/ and ^s2, we set http://rio2016.5ch.net/test/read.cgi/math/1680684665/375

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