Algebraic Geometry and Complex Analysis: Proceedings of the by George R. Kempf (auth.), Enrique Ramírez de Arellano (eds.)

By George R. Kempf (auth.), Enrique Ramírez de Arellano (eds.)

From the contents:G.R. Kempf: The addition theorem for summary Theta functions.- L. Brambila: life of definite common extensions.- A. Del Centina, S. Recillas: On a estate of the Kummer type and a relation among moduli areas of curves.- C. Gomez-Mont: On closed leaves of holomorphic foliations by way of curves (38 pp.).- G.R. Kempf: Fay's trisecant formula.- D. Mond, R. Pelikaan: becoming beliefs and a number of issues of analytic mappings (55 pp.).- F.O. Schreyer: yes Weierstrass issues occurr at so much as soon as on a curve.- R. Smith, H. Tapia-Recillas: The Gauss map on subvarieties of Jacobians of curves with gd2's.

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Extra resources for Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Pátzcuaro, Michoacán, México, Aug. 10–14, 1987

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El~ments de g6om6trie alg6brique I, G r u n d l e h r e n 166, Springer, New York, 1971. C. - Lectures on vector bundles ove~ a Riemann surface ,Princeton Mathematical Notes (1967). [6] Harder, G. and Narasimhan, M. - On the c o h o m o l o g y group of Moduli space of vector bundles on curves , Math. Ann. p. 215 248. p. 101-112. S. and S e s h a d r i , C . S . - Stable and u n i t a r y vector bundles on a compact Riemann surface. Ann. of Math. p. S. and Ramanan, S. Moduli of vector bundles on a 27 compact Riemann surface, Ann of Math.

So it follows that all planes ~*P/ + ~ * P in pass through e all Q~(~) has image the canonical Po: R ~ I~ C ~ aI* in 4 U P+i(P) one knows pE c I~C ® sI* i = i,... ~ = ~2(Pl + p2 ) , ~' = ~2(Pl +p2) , ~,' = ~2(Pl +p4) t h e n t h e rank Proof. C F. Consider now the rank interI~l * ] 4 quadric Q~(~) , a member of one 48 of the rulings ~*P3 + ~*P4 point is ~*PI + ~*P2 and a member of the other ruling is and both contain the line Vq(~(~)),F Vq(~(~,),F Therefore point and that Q~(~,,) all three quadrics F, Let of p.

Torino Ital. [K] i, gk s Univ. with curves° 5. 221-240. a (1971). g~ Bol. a r e Prym Soc. Mat. Mexi- 9-13. For w h i c h J a c o b i M. T~xidor. cible? (1984) [v] A. Verra. [w] W. Wirtinger. varieties is Sing @ r e d u Jour. fur die renie und ang. Math. 354 141-149. The f i b r e of the Prym map i n genus three. Uber e i n e V e r a l l g e m e i n e n i n g der Theorie d e r K u m m e r ' s h e n F l a c h e und i h r e n B e s i c h u n g e n zu thetafunctionen zweier Variabeliso Mon. f u r .

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