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  On reduced arc spaces of toric varieties

Dumanski, I., Feigin, E., Makedonskyi, I., & Makhlin, I. (2025). On reduced arc spaces of toric varieties. Algebra & number theory, 19(2), 313-363. doi:10.2140/ant.2025.19.313.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0010-DC41-D Version Permalink: https://hdl.handle.net/21.11116/0000-0010-DC42-C
Genre: Journal Article

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 Creators:
Dumanski, Ilya, Author
Feigin, Evgeny, Author
Makedonskyi, Ievgen1, Author           
Makhlin, Igor, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Combinatorics, Representation Theory
 Abstract: An arc space of an affine cone over a projective toric variety is known to be nonreduced in general. It was demonstrated recently that the reduced scheme structure of arc spaces is very meaningful from algebro-geometric, representation-theoretic and combinatorial points of view. 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.

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Language(s): eng - English
 Dates: 2025
 Publication Status: Issued
 Pages: 51
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2208.10432
DOI: 10.2140/ant.2025.19.313
 Degree: -

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Title: Algebra & number theory
Source Genre: Journal
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Publ. Info: Mathematical Sciences Publishers (MSP)
Pages: - Volume / Issue: 19 (2) Sequence Number: - Start / End Page: 313 - 363 Identifier: -