Complex Geometry and Analysis: Proceedings of the by Michael Atiyah (auth.), Vinicio Villani (eds.)

By Michael Atiyah (auth.), Vinicio Villani (eds.)

The quantity includes the texts of the most talks introduced on the overseas Symposium on complicated Geometry and research held in Pisa, might 23-27, 1988. The Symposium was once geared up at the party of the 60th birthday of Edoardo Vesentini. the purpose of the lectures used to be to explain the current state of affairs, the new advancements and examine developments for a number of correct issues within the box. The contributions are through exclusive mathematicians who've actively collaborated with the mathematical university in Pisa during the last thirty years.

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Extra info for Complex Geometry and Analysis: Proceedings of the International Symposium in honour of Edoardo Vesentini held in Pisa (Italy), May 23–27, 1988

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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.

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