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

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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. K e m p f . (6) 4-B Torsion (1985), divisors of Math. 97 Universal an a p p l i c a t i o n Trans. Am. 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.

3. R e l a t i o n s eh amon 9 eh R4: , ~44 " and R3 . 1) {(Z,7) }/PGL(3) w h i c h turns out to be a rational variety. h. two main sources: curve of genus 4 has, apart frcm computa- the ~ r o ? 2) and the uniqueness of the e l l i p t i c involution in the generic case. This last fact is crucial in the follewine considerations. In [B-DC] 1 it is shown that a b i r a t i o n a l model of moduli space of genus 2 curves, { ( 7 ; 0 1 , . . , 06): M2 , the is given by i = 1 .... 6}/PGL(3) 0i 6 7 , So we have a rational ma~ P : ~eh '"4 ~ ~{2 given by (Z,7) +~ (~,Z A y) It is also clear that a b i r a t i o n a l model of R~ h is g i v e n by { (z,7,n) }/PGL (3) and that the m o r p h i s m eh eh Z: R 4 ~ M 4 given by forgeting the h a l f p e r i o # n is g e n e r i c a l l y nally we have two rational ma~s P eh R3 p~, R4 w h i c h are ~iven r e s F e c t i v e l y by (C,o) ~ (X,~) (C,a) ~ (X',~') and 3 to i.

3. T h e case ~ The case (@ + a) in 1281. Then a shows that 2M M o r e o v e r observe that order 2 a-2 (8 + a) + M O cr = K • H = K - H has O 0 - H Cf 2c-I(2 g-I - i) singular points of o = 3. g = 3 is p a r t i c u l a r l y i n t e r e s t i n g and rich of geo- metry. 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 .

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