Posted in
Speaker:
Lothar Göttsche
Zugehörigkeit:
ICTP, Trieste and MPI
Datum:
Fre, 13/07/2012 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Tropical Geometry in Europe This is report on joint works with Vivek Shende, Florian Block and Sam Payne.
An old conjecture of mine gives a generating function for the numbers of
$\delta$-nodal curves in linear systems on surfaces. In this talk we want
to propose a refinement of the conjecture, where the numbers of curves are
replaced by polynomials in a variable $y$, which for $y=1$ specialize to
the numbers of curves. For rational surfaces these refined invariants are
related to Welschinger invariants and have an
interpretation in tropical geometry.
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