Welschinger invariants of real Del Pezzo surfaces of degree ≥ 3
By I. Itenberg, Viatcheslav Kharlamov, Eugenii Shustin. 2011
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We give a recursive formula for purely real Welschinger invariants of real Del Pezzo surfaces of degree K2 ≥ 3, where in the case of surfaces of degree 3 with two real components we introduce a certain modification of Welschinger invariants and enumerate exclusively the curves traced on the non-orientable component. As an application, we prove the positivity of the invariants under consideration and their logarithmic asymptotic equivalence, as well as congruence modulo 4, to genus zero Gromov–Witten invariants.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6a831d2f5a0d6c670839e060de4fc0744d2a8859
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In Geometry and Topology
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- Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution (2013, background): “real loci represent gives the total invariant; this is discussed in detail at the end of Section 7. E. Brugalle and J. Solomon communicated to us an additional renement, related to the renement in [20], obtained by xing a class d2H 2(M;L0;Z)=(id + Im˝ ), for a connected component L0ˆL, instead of th”