On Wall-Crossing Invariant Combinations of Welschinger Numbers for Rational Surfaces with a Conic Bundle
Year: 2026
Type: preprint
Abstract: We refine the real enumerative invariants insensitive to changes in the real structure introduced in our previous paper on del Pezzo surfaces, and extend these refined invariants to arbitrary rational surfaces. The construction involves a choice of an auxiliary conic bundle together with a Pin-structure. We prove that the resulting invariants are independent of these auxiliary choices and establish recursive relations for their computation.
Source: arXiv (Cornell University)
DOI: 10.14760/owp-2026-06
Authors: Finashin, Sergey, Kharlamov, Viatcheslav
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214014577