Geometry And Topology

# Download Algebraic Geometry--Open Problems by C. Ciliberto, F. Ghione, F. Orecchia PDF

By C. Ciliberto, F. Ghione, F. Orecchia

ISBN-10: 3540123202

ISBN-13: 9783540123200

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Homotopy theory of diagrams

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Un a r g u m e n t de S e v e r i - B r a u e r Completer I1 est style 2) les de [ C - G ] , Toute dimension la sion fournisse question qu'une en u n e souvent crit~res le une donc ~ t r e n~gative est Brauer ("forme du t y p e V/G, sur > 3, toutes rationnelles h o m o g e n e G/H e s t - i l de m~me l o r s q u ' o n a une vari~t~ donn~e. exp~rimentales applicables de d i m e n s i o n ? aux vari~t~s r~ponse la qui sont 2 devrait : vari~t~ X est-elle rationnelle Notons qu'on a construit probl~mes semi-simple complexe V .

6, (1955). of of conic bundles, a unirational ed omotopia 50 (1960), On d e f o r m a t i o n s Math. der York variety~ 481-484. continua Pura 897-898. Press to 177-202. fundamental Soc. University Contributions automorphisms 17 ( 1 9 8 1 ) , K. TIMMERSCHEIDT J. Oxford I. threefolds, On t h e J. rational [Ty] : Curven, (1974). Birational V. algebrica, rationale Berlin-Heidelberg-New IS] [Sg] varieties, New Y o r k Springer-Verlag, ~ber 163-165. Annalen of 258 threefold, in geometria 149-186. threedimensional (1982), Proc.

Is c o n s t a n t by s(t) in p r o j e c t i v e = ~ * A 2(T) hO(t,i) diagram we study the g r o u p A2(U) . The p r o j e c t i o n a natural 2 and V s:T ÷ U T is the s e c t i o n To b e g i n with, of d e g r e e U > T base finite = d i m H O ~ I, ]pl(1)) i is flat on T since f,i is a locally (see [HI, by the free p. 288). = 2 f is a sheaf On the and 43 other hand there exists a closed embedding % UT + ~(f,i), % which is just an i s o m o r p h i s m of d i m e n s i o n projection lines. 4).