Welschinger invariants revisited

TL;DR

This paper proves the enumerativity and invariance of Welschinger invariants for real algebraic Del Pezzo surfaces, providing an algebro-geometric proof of their stability under various deformations.

Contribution

It establishes the enumerativity and invariance of Welschinger invariants for all real divisors on real Del Pezzo surfaces using algebraic geometry techniques.

Findings

Proves enumerativity of Welschinger invariants for all real divisors.

Shows invariance of these counts under point and complex structure variations.

Provides an algebro-geometric proof of invariance.

Abstract

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.