English

Welschinger invariants revisited

Algebraic Geometry 2017-05-04 v2

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.

Keywords

Cite

@article{arxiv.1409.3966,
  title  = {Welschinger invariants revisited},
  author = {Ilia Itenberg and Viatcheslav Kharlamov and Eugenii Shustin},
  journal= {arXiv preprint arXiv:1409.3966},
  year   = {2017}
}

Comments

23 pages; several small changes improving the readability

R2 v1 2026-06-22T05:55:59.604Z