Algebraic geometry· 2026Q1
Real enumerative invariants relative to the toric boundary and their refinement
- 6citations
- Q1SCImago
- 2026year
Short summary
New real enumerative invariants for toric surfaces (including the projective plane) are introduced, based on counting real curves of genus 1 and 2.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduced new real enumerative invariants for toric surfaces.
- Invariants are based on enumerating real curves of genus 1 and 2.
- These invariants can be refined, analogous to Mikhalkin's rational case refinement.
AI-generated from the title and abstract; the full text is not read.
Abstract
We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus 1 and 2. These invariants admit a refinement similar to the one introduced by Grigory Mikhalkin in the rational case.
The authors' abstract, as published at the source. Algebraic geometry, 2026 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics