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- W2057332242 abstract "The Welschinger invariants of real rational algebraic surfaces are natural analogs of the Gromov-Witten invariants, and they estimate from below the number of real rational curves passing through prescribed configurations of points. We establish a tropical formula for the Welschinger invariants of four toric Del Pezzo surfaces equipped with a nonstandard real structure. Such a formula for real toric Del Pezzo surfaces with a standard real structure (i.e., naturally compatible with the toric structure) was established by Mikhalkin and the author. As a consequence we prove that for any real ample divisor D on a surface Σ under consideration, through any generic configuration of c 1(Σ)D − 1 generic real points, there passes a real rational curve belonging to the linear system |D|." @default.
- W2057332242 created "2016-06-24" @default.
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- W2057332242 date "2007-09-01" @default.
- W2057332242 modified "2023-10-15" @default.
- W2057332242 title "Welschinger invariants of toric Del Pezzo surfaces with nonstandard real structures" @default.
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- W2057332242 doi "https://doi.org/10.1134/s0081543807030157" @default.
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