Algebraic Geometry: Proceedings, Tromsø Symposium, Norway, by William Fulton, Robert MacPherson (auth.), Loren D. Olson PDF

By William Fulton, Robert MacPherson (auth.), Loren D. Olson (eds.)

ISBN-10: 3540089543

ISBN-13: 9783540089544

ISBN-10: 3540356886

ISBN-13: 9783540356882

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Extra resources for Algebraic Geometry: Proceedings, Tromsø Symposium, Norway, June 27 – July 8, 1977

Sample text

Entiers il de Pour v et ~ tels n + v(v+2s-3)/2 bien tout (n i - ~ - ~ ) + - . z que une ~> s telle . courbe , et tout >n > >n a o-- q--'''--'] (i-~-~) + de de la f a g o n et - caract@re alors : i~n+~ num6rique hl(jF(n)) Cohen-Macaulay de h×q (i) suivante: " X = hq(m) ~p3 de Pour Si , soit Si C caract@re d@montrer F est JF est tune num@ri_ la p r e m i @ r e m partie de A), Introduisons il suffit la f o n c t i o n donc de m o n t r e r en e s c a l i e r h X1(n) suivante < h9q(n) sur IR + pour .

7,6 0 Une telle courbe la courbe est li@e par des s u r f a c e s r@siduelle d'une 5 5) ' droite ~ ~-v=2 ~ • de degr~s 5 et 7 par deux surfaces qu art i qu e s. b) @I = (7,6,6,6,5) la courbe une . ,6,6) Pour degr@s 3 $ L'unique courbe et et Li~e de degr@s s = 3 . celui d'une . maximal est ce caract~re de degr@s des s u r f a c e s 3) . courbe p r @ s e n t a m t de surfaces b) droite p a r une q u a d r i q u e et de degrSs num@rique 5 et (~,~,4,4). s = ~ . ,6,5). est i n t e r s e c t i o n 5 .

Be the conic (C,DI, subset ... multiply a n d the tangent fibre the open are m u l t i p l y subvariety such to that Dk C . Then 4 Hc'S in a p r o p e r in this generic of Sk Jc algebraic to " S 1 u ... l in let , and algebraic over Sk ]P the C is subset, the p o i n t Sk 5 C is 2 4 - d i m e n - x ... as d e s i r e d . calculating JC those Therefore subset, case without set non- conics, of to e a c h is a c l o s e d from a n d one algebraic consisting Sk to a f i x e d non-singular is t a n g e n t of the p r o j e c t i o n of tangent of Ip5 x i:,5 x .

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Algebraic Geometry: Proceedings, Tromsø Symposium, Norway, June 27 – July 8, 1977 by William Fulton, Robert MacPherson (auth.), Loren D. Olson (eds.)

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