Real enumerative invariants relative to the toric boundary and their refinement

Fuente: arXiv
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Main Authors: Itenberg, Ilia, Shustin, Eugenii
Format: Preprint
Published: 2024
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_version_ 1866917991010009088
author Itenberg, Ilia
Shustin, Eugenii
author_facet Itenberg, Ilia
Shustin, Eugenii
contents We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus one and two. These invariants admit a refinement similar to the one introduced by Grigory Mikhalkin in the rational case.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06718
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Real enumerative invariants relative to the toric boundary and their refinement
Itenberg, Ilia
Shustin, Eugenii
Algebraic Geometry
Primary 14N10, Secondary 14J26, 14P05, 14T90
We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus one and two. These invariants admit a refinement similar to the one introduced by Grigory Mikhalkin in the rational case.
title Real enumerative invariants relative to the toric boundary and their refinement
topic Algebraic Geometry
Primary 14N10, Secondary 14J26, 14P05, 14T90
url https://arxiv.org/abs/2401.06718