Download e-book for kindle: 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.)

ISBN-10: 3540469133

ISBN-13: 9783540469131

ISBN-10: 3540521755

ISBN-13: 9783540521754

From the contents:G.R. Kempf: The addition theorem for summary Theta functions.- L. Brambila: lifestyles of sure 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 through 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: sure 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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Additional resources for Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Pátzcuaro, Michoacán, México, Aug. 10–14, 1987

Example text

Math. JR] I S. Recillas. [R] 2 S. Recillas. D. varieties on a l g e b r a i c an i n v o l u t i o n Soc. 222 Un. M a t . curves° Pac. 437-441. (1976) Brandeis of curves of trigonal cana 19 (1974) Boll. properties o f Prym v a r i e t i e s to algebraic curves of genus Thesis, lacobians of a Mat. 671-683. (1981) L. Masiewicki. cover Sem. 53-63. Remarks on c u r v e s a d m i t t i n g o f g e n u s ~ 1 and some a p p l i c a t i o n s ° with [Te ] 41 double Rend. A. Del Centina. Jour. [Ma] on an u n r a m i f i e d and a p p l i c a t i o n s ° Pol.

1. that w h e n curve on and o f t h e q of all we note a natural the n e x t identification lemma. 2. i) {v(~L): ii) iii) L ~ x \ x n y} c I~cl* {v(QL) : L E y \ X f] Y} C I~ C ® o l* for I~CI* Proof. i @ X f] Y, Let us d e n o t e V(QL) by ~ N the ~ and canonical V(QL ) N point in I9 c ® ~I* ~ ~. 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)) .

We have that X is a smooth irreducible curve of genus one can easily see by a p p l y i n g the a d j u n c t i o n formula on also, since iK r a m i f i e s at 12 points, E J(C)) 7 (as and is an e l l i p t i c curve. 34 Moreover X and In this X' are of g e n u s case E C~5 = H 4 and A H E has is e l l i ~ t i c . decree 6 and is an e l - O liptic normal passes through the 6 pairs So we have chosen, E passing case BETWEEN _~D e r ~_l-a n e hv 12 is ~oints when ~6 H° = K of the rich R3 alone 28 to see t h a t of K an e v e n C~7 differ by there are is 63 normal ~ o i n t s of to ~.

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Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Pátzcuaro, Michoacán, México, Aug. 10–14, 1987 by George R. Kempf (auth.), Enrique Ramírez de Arellano (eds.)

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