Download Algebraic Geometry: Proceedings of the Midwest Algebraic by Igor Dolgachev, Anatoly Libgober (auth.), Anatoly Libgober, PDF
By Igor Dolgachev, Anatoly Libgober (auth.), Anatoly Libgober, Philip Wagreich (eds.)
Read Online or Download Algebraic Geometry: Proceedings of the Midwest Algebraic Geometry Conference, University of Illinois at Chicago Circle, May 2 – 3, 1980 PDF
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Additional info for Algebraic Geometry: Proceedings of the Midwest Algebraic Geometry Conference, University of Illinois at Chicago Circle, May 2 – 3, 1980
The top h o r i z o n t a l map is an isomorphism, while the bottom is surjective by Remark follows. 4. 3 hold (cf. 1 and the assertion of ). This may be proved as before by pas- A ~ (pm)r to a linear space A d i f f e r e n t proof of Theorem Lm _ c pr(m+l)-i NOTES. 1(A) was given by Barth . ing a b i r a t i o n a l c o r r e s p o n d e n c e between It depends upon construct- pm x ~m and p2m which reduces the a s s e r t i o n for the diagonal to the c o r r e s p o n d i n g statement for a linear space originally Lm c ~ 2 m (B) is due to Deligne [i0, ii], who proved it using the b i r a t i o n a l correspondence.
In the lies on a linear space (A) follows J o u a n o l o u . x' £ f-l(u) ~ l ( f - l ( L /! ) , x ') + ~l(X,x') ,~l(X,x') The proof of c o n s i d e r a b l y the argument theorem, we may choose a point Ogus, Speiser, and r e c e n t l y by F a l t i n g s includ- . I(B), Deligne [Ii] shows that there are in fact a r b i t r a r i l y small n e i g h b o r h o o d s of L such that (3). f-l(u) is connected. Goresky and M a c P h e r s o n D e l i g n e ' s w h i c h extends  have proved a c o n j e c t u r e of (B) to higher h o m o t o p y groups.
Two natural of 2n f × f of connected singularities being of the analogous applications projective intersection the apply. L. result 30 bounds the d i m e n s i o n tangent early sent to X normal Using if In of the of one wants branched to C to the a s s e r t i o n Zariski's which every is p r o v e d of the a r g u m e n t case, ~I(P 2 -C) Deligne's topy groups extension compact generalization Goresky and M a c P h e r s o n . Finally, For the One tion. theorems - list are (tamely on the ramified) An argument image using yields in §9.