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 convinced 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 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 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.

**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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**Sample text**

2. T@xidor triconal, only 4 results. [Te] has shown that elliptic-hyperelliptic in this and case, W~(F) 1 W4(F) is r e d u c i b l e or F = C consists of two and if in this smooth F last is, case, components and of g e n u s 2. i) for g = 3 is the q u o t i e n t of we deduce X by w4($) where Y denotes We h a v e the J(Y) component that io the component ~*(X) of so t h a t -- x u y of g e n u s 2. ~ P ( C ~ C). By i d e n t i f y i n g X = one can see t h a t effective clear maps the p o i n t s of theta-characteristics that via { L E W1(C) : NmL = ~C X q maps onto via c onto a nonsigular and L = i*L } X ~ Y correspond on which C a nonsingular conic Y with to the differ by cubic six p a i r s ~.

Ann. 59-84. [13] Seshadri, C. , Space of unitary vector bundles on a compact Riemann surface,Ann, of Math. p. 303-338. L. F. ~EEN T W O M O D U L I SPACES AND A P~LATION OF C U R V E S by Andrea del Centina and Sevin Recillas INTRODUCTION. (gT2(C) involution c a n see t h a t of cenus moduli. one can associate + ~) over halfpe- together the with the 7. So i : x ~ x + ~. h. h. with a natural tive answer 3 double or not. of a n d the R3 of genus eh map R4 space of ~tale elliptic-hyperelliptic of genus 4 curves.

1) ---OE(U) Proof. From the diagram and the fact that ~ relation between Gauss if w e ) j(~) C ' J (C) is a l o c a l o ~ that , G = s o a' G: x" r~l* e'* seen in is i n j e c t i v e In o r d e r the morphism [acl* and map. 3) that a' ¢'*0E(U) ramified) the results of Beauville, i(~) ~ ~. 1. ® ~' the we need and so claim. 7. n*0H(1) ~ OE(U ® n). 8. Proof. ~'*(n*(0 the above Frorosition will follow from (i)) -~ ~X' Let us first observe volution, then j(g~) m': X' ~ IU G nl* ~ 2 that is m*(0 ~2(i)) = KX, - g~ .