Welschinger invariants of small non-toric del Pezzo surfaces

DOI10.4171/JEMS/367zbMath1307.14073arXiv1002.1399MaRDI QIDQ1940821

Viatcheslav Kharlamov, Eugenii I. Shustin, I. V. Itenberg

Publication date: 7 March 2013

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1399

zbMATH Keywords

enumerative geometrytropical curvesWelschinger invariantsreal rational curvesCaporaso-Harris formula

Mathematics Subject Classification ID

Real algebraic sets (14P05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items

Enumeration of rational curves with cross-ratio constraints, Welschinger invariants of real del Pezzo surfaces of degree ≥ 2, Steenrod pseudocycles, lifted cobordisms, and Solomon's relations for Welschinger invariants, On wall-crossing invariance of certain sums of Welschinger numbers, Welschinger invariants of real Del Pezzo surfaces of degree \(\geq 3\), Genus decreasing formula for higher genus Welschinger invariants, A recursion for counts of real curves in ℂℙ2n−1: Another proof, WDVV-type relations for Welschinger invariants: applications, Welschinger invariants of blow-ups of symplectic 4-manifolds, Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces

Cites Work

• Counting plane curves of any genus
• Enumeration of curves via floor diagrams
• Recursive Formulas for Welschinger Invariants of the Projective Plane
• The numbers of tropical plane curves through points in general position