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UID:news737@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T211745
DTSTART;TZID=Europe/Zurich:20130524T103000
SUMMARY:Seminar Algebra and Geometry: Andrea Marinatto (Università di Udin
 e)
DESCRIPTION:Let K be a perfect field of characteristic not equal to two\, $
 \\bar{K}$ an algebraic closure of K and let GK be the Galois group of the 
 extension $\\bar{K}/K$.  Let T be a n-point set in $P1(\\bar{K})$. The fi
 eld of moduli of T  is contained in each field of definition but it is not
  necessarily a  field of definition. In this seminar we show that point se
 ts of odd  cardinality n≥5 in  $P1(\\bar{K})$ with field of moduli K  a
 re defined over their field of moduli. We\, also\, show that\, except for 
  the special case of the 4-point sets\, this does not hold in general for 
  point sets of even cardinality n≥6.
X-ALT-DESC: Let <i>K</i> be a perfect field of characteristic not equal to 
 two\, $\\bar{K}$ an algebraic closure of <i>K </i>and let <i>G<sub>K</sub>
 </i> be the Galois group of the extension $\\bar{K}/K$.&nbsp\; Let <i>T</i
 > be a <i>n</i>-point set in $P<sup>1</sup>(\\bar{K})$. The field of modul
 i of <i>T</i>  is contained in each field of definition but it is not nece
 ssarily a  field of definition. In this seminar we show that point sets of
  odd  cardinality <i>n</i>≥5 in&nbsp\; $P<sup>1</sup>(\\bar{K})$ with fi
 eld of moduli <i>K</i>  are defined over their field of moduli. We\, also\
 , show that\, except for  the special case of the 4-point sets\, this does
  not hold in general for  point sets of even cardinality <i>n</i>≥6. 
DTEND;TZID=Europe/Zurich:20130524T120000
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