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.)

From the contents:G.R. Kempf: The addition theorem for summary Theta functions.- L. Brambila: lifestyles of convinced common extensions.- A. Del Centina, S. Recillas: On a estate of the Kummer sort 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: yes 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

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~ . ~ QX' ' g~s So if we put n(E) the cone the p r o j e c t i o n with S' from ~, of the lines determined S' = Z' C H, 1 Therefore in- Hence when we consider t h e m o r p h i s m to prove Proposition x,x',x"EX' then there exists a line is the elliptic are lines tangent to the conic which is I U ® ~I* of enough to prove that if (as divisor l.

1984) [v] A. Verra. [w] W. Wirtinger. varieties is Sing @ r e d u Jour. fur die renie und ang. Math. 354 141-149. The f i b r e of the Prym map i n genus three. Uber e i n e V e r a l l g e m e i n e n i n g der Theorie d e r K u m m e r ' s h e n F l a c h e und i h r e n B e s i c h u n g e n zu thetafunctionen zweier Variabeliso Mon. f u r . M a t h . I, (1890) 113-128. + 0~p1(-ak+l) C o n s i d e r it's p r o j e c t i v i z a t i o n P(E) ÷EP' . + L ( - a k + l , l ) ÷Tp(E) ÷ 0 where L(a,b) refers first to the ruling line bundle and then to the h y p e r p l a n e class bundle of the scroll.

C ~icture clarifies the situa- tion /-A Z' We remark also that the two e l l i p t i c involution, I q~ 's on X c o r r e s ? lane deter- mined by a line of a ruling of line of the other rulin~ of o and the v e r t e x V, c o n t a i n s also a Q. As c o n s e q u e n c e of this we have that in the p r o j e c t i o n from the divisors of the two the tangent lines to ~. 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.

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