819 research outputs found
Pencils of quadrics and Gromov-Witten-Welschinger invariants of
We establish a formula for the Gromov-Witten-Welschinger invariants of
with mixed real and conjugate point constraints. The method is
based on a suggestion by J. Koll\'ar that, considering pencils of quadrics,
some real and complex enumerative invariants of could be
computed in terms of enumerative invariants of
and of elliptic curves.Comment: 14 pages, 4 figures, minor corrections following referee's
suggestion
On the Topology of Real Bundle Pairs over Nodal Symmetric Surfaces
We give an alternative argument for the classification of real bundle pairs
over smooth symmetric surfaces and extend this classification to nodal
symmetric surfaces. We also classify the homotopy classes of automorphisms of
real bundle pairs over symmetric surfaces. The two statements together describe
the isomorphisms between real bundle pairs over symmetric surfaces up to
deformation.Comment: 19 pages, 3 figure
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