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SUMMARY:Virt: Matilde Manzaroli (Tübingen): Real fibered morphisms of rea
l del Pezzo surfaces
DTSTART;VALUE=DATE-TIME:20210506T090000Z
DTEND;VALUE=DATE-TIME:20210506T100000Z
DTSTAMP;VALUE=DATE-TIME:20210513T183252Z
UID:indico-event-6195@indico.math.cnrs.fr
DESCRIPTION:A morphism of smooth varieties of the same dimension is called
real fibered if the inverse image of the real part of the target is the r
eal part of the source. It goes back to Ahlfors that a real algebraic curv
e admits a real fibered morphism to the projective line if and only if the
real part of the curve disconnects its complex part. Inspired by this res
ult\, in a joint work with Mario Kummer and Cédric Le Texier\, we are int
erested in characterising real algebraic varieties of dimension n admittin
g real fibered morphisms to the n-dimensional projective space. We present
a criterion to construct real fibered morphisms that arise as finite surj
ective linear projections from an embedded variety\; this criterion relies
on topological linking numbers. We address special attention to real alge
braic surfaces. We classify all real fibered morphisms from real del Pezzo
surfaces to the projective plane and determine when such morphisms arise
as the composition of a projective embedding with a linear projection.\n\n
https://indico.math.cnrs.fr/event/6195/
LOCATION:batiment I 001
URL:https://indico.math.cnrs.fr/event/6195/
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