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arxiv: 1409.3966 · v2 · pith:ENKMX3SQnew · submitted 2014-09-13 · 🧮 math.AG

Welschinger invariants revisited

classification 🧮 math.AG
keywords surfaceinvariantsrealvariationwelschingeralgebraicalgebro-geometriccomplex
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We establish the enumerativity of (original and modified) Welschinger invariants for every real divisor on any real algebraic Del Pezzo surface and give an algebro-geometric proof of the invariance of that count both up to variation of the point constraints on a given surface and variation of the complex structure of the surface itself.

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