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

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: lifestyles of yes common extensions.- A. Del Centina, S. Recillas: On a estate of the Kummer kind and a relation among moduli areas of curves.- C. Gomez-Mont: On closed leaves of holomorphic foliations via 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: definite Weierstrass issues occurr at such a lot 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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Read or Download Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Pátzcuaro, Michoacán, México, Aug. 10–14, 1987 PDF

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

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J(C). Recall that: Y = {L 6 W~(C): i*L ~ ~ ® L -I X = {i E W~(C) : i*L ~ L and and h°(~,L) h°(~,L) = 2}, = 2} = ~(X) and y N X = {L E W~(~) : L ~ i*L We i) that Let study L E X \ X A y. there D ~ E + o the v e r t e x exists and map Since a unique v on e a c h ® L-l} component X = ~*(W2(C) couple L = e*(~2(D)) ~ ~ of d i v i s o r s = e*(~2(E)) . A at a time. (W2(C) + ~)) D, E @ C (2) we k n o w such that 44 Let D', E' E C (2) D + D' E + E' E -i If w e d e n o t e ~ and that rank ~ 4 l~Cl; by quadric Qi and (s 2) = E, (t I) = D' ® (~), (e~ ® i-l)) this i s o m o r p h i s m J(~) i = ~4(D) To give the e q u a t i o n ® i -I) (t 2) = E'.

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. p. 14-51. S. and Ramanan S. Vector bundles on curves, Procc. Bombay Colloquium Algebraic Geometry, 1988. [II] Mukai S. Duality between D(X) and D(X) with its application to Plcard sheaves, Nagota Math. J. p. 153-i75 . [12] Ramanan, S. The moduli spaces of vector bundles over an algebraic curve, Math.

Not triconal, quadrics of rank < 4 ii at a p o i n t rank ~ 4. there and genus 3 A C ~ the q u a d r i c s arithmetic W4(F) (as is of parametryzing discriminant tryzing 5 intersection the Tlane to locus of the Beauville's results. 1. B of the s i n g u l a r [Te]. the v e r t e x of the reg induces on N a lin- poZar series: ~ E ~ consists A e at in p a r t i c u l a r s ~ 0~4(2) ~ aN ® H ®2 with of the passes restricted %Thich c o i n c i d e s geomet- to throuch N via the p o l a r nor- 41 where H = n*0A(1) ing to it cuts and o u t on for e a c h N (via point s) in ~ the c u a d r i c the F o l a r divisor correspond- of t h a t point.

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