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On Welschinger Invariants of Descendant Type

In: Singularities and Computer Algebra

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  • Eugenii Shustin

    (Tel Aviv University, School of Mathematical Sciences)

Abstract

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.

Suggested Citation

  • Eugenii Shustin, 2017. "On Welschinger Invariants of Descendant Type," Springer Books, in: Wolfram Decker & Gerhard Pfister & Mathias Schulze (ed.), Singularities and Computer Algebra, pages 275-304, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-28829-1_13
    DOI: 10.1007/978-3-319-28829-1_13
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