Download Arithmetic Geometry And Number Theory by Lin Weg, Iku Nakamura PDF

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By Lin Weg, Iku Nakamura

Книга mathematics Geometry And quantity idea mathematics Geometry And quantity conception Книги Математика Автор: Lin Weg, Iku Nakamura Год издания: 2006 Формат: pdf Издат.:World medical Publishing corporation Страниц: 412 Размер: thirteen ISBN: 981256814X Язык: Английский0 (голосов: zero) Оценка:Arithmetic Geometry And quantity concept (Number thought and Its Applications)By Lin Weg, Iku Nakamura

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A-6)(^+m^). Line bundles ( A ] " 1 , . . , A ^ ^ 1 , A' 6 j{^N+m,N) satisfy many nice properties ([WZ]). We will not try to list all of them here, but merely point out that (I) (String Equation) ( A * , . . ,A^)(7r w + m,N); (II) (Dilaton Equation) ( A ^ 1 , . . , A ^ m , A J V + m + 1 )(7r^ + m + l i J V ) = ( 2 5 - 2 + iV + m ) ( A 1 d l , . . , A ^ m ) ( 7 r A r + m , A r ) . 6. 1) Pseudo-Metrics on Boundary of Tg^ MQ € Mg,N\Mg,N gives a stable Riemann surface with N punctures P i , . .

Weng 42 let ( s i , . . , 0, l™isup (tiT) _ ( o i o),(t, T )€(A*)'»xv(l*j| 2 (-log|*il) 4 ~ c ) -9jf(t,r) = 0; (ii) For each 1 < j < m' and any e > 0, liminf (tiT) ^ ( o,o),(t,T)e(A*)'"xy(l*j| 2 (-log|^|) 4+e J -gjf(t,T) (iii) For l m + 1, l i m i n f ^ ^ ^ ^ .

Math. 105 (1983), no. 2, 367-464. ; Shalika, J. On Euler products and the classification of automorphic forms. II. Amer. J. Math. 103 (1981), no. 4, 777-815. ; Shalika, J. A lemma on highly ramified efactors. Math. Ann. 271(1985), 319-332. [J05] Jiang, D. On the fundamental automorphic for S0 2 n +i. preprint (2005). , The local converse theorem for SO(2n + 1) and applications. Ann. of Math. 157(2003), 743-806. , Generic Representations and the Local Langlands Reciprocity Law for p-adic SO(2n + 1).

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