Re: Fibers question. Algebraic Geometry

From: Stein A. Stromme (stromme_at_mi.uib.no)
Date: 07/20/04

  • Next message: Robert E. Beaudoin: "Re: when a linear closed operator presearves measurability" 
    Date: Tue, 20 Jul 2004 00:44:26 +0000 (UTC)

    [Jesus Rogelio Perez Buendia]

    | HI all,
    |
    | If X and Y are algebraic sets and V C X x Y is algebraic also.
    | And p:X x Y --->X is the projection.
    |
    | Which conditions do I need to have that all the fibers p^(-1)(a)
    | in V has the same dimension? More accurate: When do we have a pont
    | a in X such that de fiber of a in V has dimension < than the generic
    | fiber?

    If p is proper, e.g. if Y is projective, this cannot happen at all.

    SA 

    -- 
Stein Arild Strømme            +47 55584825, +47 95801887
Universitetet i Bergen                  Fax: +47 55589672     
Matematisk institutt               www.mi.uib.no/stromme/         
Johs Brunsg 12, N-5008 BERGEN           stromme@mi.uib.no
  • Next message: Robert E. Beaudoin: "Re: when a linear closed operator presearves measurability"

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