On welschinger invariants of descendant type

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We introduce enumerative invariants of real del Pezzo surfaces that count real rational curves belonging to a given divisor class, passing through a generic conjugation-invariant configuration of points and satisfying preassigned tangency conditions to given smooth arcs centered at the fixed points. The counted curves are equipped with Welschinger-type signs. We prove that such a count does not depend neither on the choice of the point-arc configuration nor on the variation of the ambient real surface. These invariants can be regarded as a real counterpart of (complex) descendant invariants.

Original languageEnglish
Title of host publicationSingularities and Computer Algebra
Subtitle of host publicationFestschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday
PublisherSpringer International Publishing
Number of pages30
ISBN (Electronic)9783319288291
ISBN (Print)9783319288284
StatePublished - 29 Mar 2017


  • Del Pezzo surfaces
  • Descendant invariants
  • Real enumerative geometry
  • Real rational curves
  • Welschinger invariants


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