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 sure common extensions.- **A. Del Centina, S. Recillas:** On a estate of the Kummer style 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:** convinced 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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**Extra resources for Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Pátzcuaro, Michoacán, México, Aug. 10–14, 1987**

**Example text**

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 ~. ~ and ramification of It is a l s o that points Y at ~n~.

Nodal c u b i c s u r f a c e s and t h e rationality of the moduli space of curves of genus two~ Math. Am. 230 (1985) 599-602. [B-DC] 1 F. Bardelli, [B-DC] 2 F. Bardelli, The m o d u l i s p a c e of g e n u s elliptic curves is rational° A. del Centina. four double covers of Preprint of Ist. Mat. "U. Dini" 1/86-87. [ Be ] A. Beauville. V a r i ~ t ~ de Prym e t J a c o b i e n n e s i n t e r m e d i a t e s , Am. Sci. Ecole Norm. Sup. i0 (1977) 309-391. [DC] 1 A. Del Centina. k-gonal Univ. [DC ]2 curve (1983), G.

One 3. 3 p OF T H E M A P construction ]91ayed by B e a u v i l l e ' s of the non finite fibers will paper. p. of the results inverse on ~ l a n e of p ~uintics a fundamental [Be] role and T~xidor's is 40 proo f of the t h e o r e m on the r e d u c i b i l i t y theta d i v i s o r Let F be a not h y p e r e l l i ? t i c , ble curve of genus complete locus W 41(F) Since A Its c a n o n i c a l the cuadrics in of ~I~(F) and 2 is r a m i f i e d ducible lar p o i n t ~ if at the A is. onds p a s s i n C trough correspond to the two p e n c i l s (a line) cone N quadric n: N ~ A the t a n g e n t ear series 6.