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Read e-book online Algebraic Geometry: Proceedings, Tromsø Symposium, Norway, PDF

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

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Read or Download Algebraic Geometry: Proceedings, Tromsø Symposium, Norway, June 27 – July 8, 1977 PDF

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

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Conic, five given H I n ... then are all I_~f C to the isola- is a non- n H5 at the is 5 (4 - c a r d ( C n Di)) . e. r is one less than the interP P n u m b e r of curves C and D at P ; this may be c a l c u l a t e d the e q u a t i o n section With ; the d i v i s o r s W P~CnD where to the p o i n t identified . to space for HD of the p r o j e c t i v e such h y p e r s u r f a c e s , multiplicities proposition), if no two tangent cones the i n t e r s e c t i o n (a g e n e r a l which " gives fact w h i c h the a n s w e r D of i are tangent, H I, number ...

L'id@al = n~qhq(JH~c(n)) Soient H un du groupe de points , C est arithm@tique- memt Cohen-Macaulay. Les suites pour m~ exactes montrent Hq(JHAc(n) --~ H~(0c(n-q)) --~ H~I(0C(m)) -~ 0, que hq(0C ) = n ~ h ~ ( J H A c ( n ) ) entrains i' exacti- tude des suites H~(J(n-q))--~ (H~(J(n))--~ 0 , o~ ~p3 . 7, s(s-~) ~ d . C est l'id@al de H~(J(n)) = 0 C dams pour tout de Cohen-Macaulay. de sp@cialit@ est une cons@quence compte tenu de l'in$galit@ La m a j o r a t i o n merit lorsque la courbe avec = 0 , on en d~duit Le th@or@me du th@or@me J du genre se d@montre ed~2g-2 .

A au plus des singularit@s D) @rant li@e a une La surface cubique contenant C isol@es Une courbe canonique trigonale pr@sente num@riquement m~me r@solution que la courbe pr@c@dente, contenant a une droite double puisque cubique gauche de IP4 mais la surface cubique la c'est la projection de la surface B), C) et D) les deux derni@res pr6sentant E) la m~me r@solution C et telles que Une courbe hyperelliptique une quadrique lisse; elle presente ont la m~me postula- le m~me type num~rique. l'exemple de plus bas degr@ de deux courbes num@riquement la qui contient la courbe canonique trigonale.

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