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Peer-reviewedCC BYAlgebraic geometry

Real enumerative invariants relative to the toric boundary and their refinement

  • Ilia Itenberg
  • Eugenii I. Shustin
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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.

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Cite

BibTeXRIS
BibTeX
@article{itenberg2026real,
  title = {{Real enumerative invariants relative to the toric boundary and their refinement}},
  author = {Ilia Itenberg and Eugenii I. Shustin},
  journal = {Algebraic geometry},
  year = {2026},
  month = oct,
  doi = {10.14231/ag-2026-024},
  url = {https://doi.org/10.14231/ag-2026-024},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Real enumerative invariants relative to the toric boundary and their refinement
AU  - Ilia Itenberg
AU  - Eugenii I. Shustin
PY  - 2026
DA  - 2026/10/28
JO  - Algebraic geometry
DO  - 10.14231/ag-2026-024
UR  - https://doi.org/10.14231/ag-2026-024
AB  - 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.
SN  - 2214-2584
SN  - 2313-1691
ER  -