On reduced arc spaces of toric varieties
Algebraic Geometry
2025-02-18 v2 Combinatorics
Representation Theory
Abstract
An arc space of an affine cone over a projective toric variety is known to be non-reduced in general. It was demonstrated recently that the reduced scheme structure is worth studying due to various connections with representation theory and combinatorics. In this paper we develop a general machinery for the description of the reduced arc spaces of affine cones over toric varieties. We apply our techniques to a number of classical cases and explore some connections with representation theory of current algebras.
Cite
@article{arxiv.2208.10432,
title = {On reduced arc spaces of toric varieties},
author = {Ilya Dumanski and Evgeny Feigin and Ievgen Makedonskyi and Igor Makhlin},
journal= {arXiv preprint arXiv:2208.10432},
year = {2025}
}
Comments
50 pages; minor corrections; final version