On Welschinger Invariants of Descendant Type

Eugenii Shustin ()
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Eugenii Shustin: Tel Aviv University, School of Mathematical Sciences

A chapter in Singularities and Computer Algebra, 2017, pp 275-304 from Springer

Abstract: 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.

Keywords: del Pezzo surfaces; Descendant invariants; Real enumerative geometry; Real rational curves; Welschinger invariants; Primary 14N35; Secondary 14H10, 14J26, 14P05 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28829-1_13

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DOI: 10.1007/978-3-319-28829-1_13

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