By D. Sundararaman
This quantity comprises a few of the papers within the sector of algebraic geometry awarded on the 1984 Solomon Lefschetz Centennial convention held in Mexico urban. it's the first in a 3 quantity sequence. The convention fascinated with this subject besides the parts of algebraic topology and differential equations the place Lefschetz made major contributions. The court cases start with fascinating articles: 'A web page of Mathematical Autobiography', that has been reprinted from an early version of the ""Bulletin of the AMS"", and ""Solomon Lefschetz, A Biography"" through William Hodge, that's reprinted from the ""Bulletin of the London Mathematical Society""
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276 (1987), 663-674. [11]. S. Mukai, Semi-homogeneous vector bundles on an abelian variety, J. Math. Kyoto Univ. 18 (1978), 239-272. [12]. S. Mukai, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent. Math. 77 (1984), 101-116. [13]. A. 3. Smith, Symplectic KEhler manifolds, Ph. D. thesis, Univ. , Berkeley, 1987. [14]. H. Umemura, On a property of symmetric products of a curve of genus 2, Proc. Intl. Symp. 709-721. [15]. H. Umemura, Moduli spaces of the stable vector bundles over abelian surfaces, Nagoya Math.
1 Then 33 Using this formula, we can arrive at an exphcit formula for the KloostermanSelberg zeta function Kl¢(c) Zr(s)= ~ ceM(r) lel=' and hence its m e r o m o r p h i c continuation. 1) and instead of comput1 0 ing I / V P ' ( ( 0 1))we c o m p u t e I,V p , ( ( 0 0 form. For Re(s) > > 0, the formula in T h e o r e m 2 then becomes Kl¢(c) B ( 1 ) = eEM(r) c(~,r)J(B,~,s) Z 'rcL~i,c (r\a) OO + Z c(~(~),r)J(B,~0"), s) G cusps where now f l ( B , r , s) is the Bessel-Mellin transform GO f f ( B , vr, s) = f B '~Y)"J ,~(Y)Y ' ' :~'-2d×-y --00 and B(x) = b(¢2) is an even Schwartz function.
Math. Soc. J a p a n 40 (1988), 9-33. 57 [6]. H. J. Kim, Moduli of Hermite-Einstein vector bundles, Math. Z. 195 (1987), 143-150. [7]. S. Kobayashi, Recent results in complex differential geometry, Jber. d. Dt. Verein. 83 (1981), 147-158. [8]. S. Kobayashi, Submersions of CR submanifolds, Tohoku Math. J. 39 (1987), 95-100. [9]. S. Kobayashi,Differential Geometry of Complex Vector Bundles, Iwanami Shoten/ Princeton U. Press, 1987. [10]. M. Lfibke and C. Okonek, Moduli spaces of simple bundles and HermitianEinstein connections, Math.