COMBINED COUNT OF REAL RATIONAL CURVES OF CANONICAL DEGREE 2 ON REAL DEL PEZZO SURFACES WITH

DOI10.1017/s1474748022000317arXiv2107.06988MaRDI QIDQ6148600

Sergey Finashin, Viatcheslav Kharlamov

Publication date: 7 February 2024

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06988

zbMATH Keywords

enumerative invariantspin-structuresreal del Pezzo surfacessigned countBertini involutionWelschinger weight

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Topology of real algebraic varieties (14P25) Classical problems, Schubert calculus (14N15)

Cites Work

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• On Welschinger invariants of symplectic 4-manifolds
• The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry
• Counting curves on rational surfaces
• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
• Welschinger invariants of real del Pezzo surfaces of degree ≥ 2
• Surgery of real symplectic fourfolds and Welschinger invariants
• Anti-symplectic involutions on rational symplectic 4-manifolds
• On analytic surfaces with double points
• On the invariance of Welschinger invariants

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