{
  "abstract": "For a (quasi)projective variety $X$ and an automorphism $f$ of $X$, we define moduli spaces of twisted endomorphisms of sheaves on $X$. If the automorphism $f$ has finite order, we construct a sheaf of noncommutative algebras $\\mathcal{A}_0(f)$ and show that sheaves with a twisted endomorphism can be described as $\\mathcal{A}_0(f)$-modules. We compute the topological Euler characteristics of Hilbert schemes of points of the algebra $\\mathcal{A}_0(f)$, generalizing the answer for the case where $f$ is the identity automorphism.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30343",
  "author_total": 1,
  "authors": [
    {
      "name": "Atharva Korde"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6t13qq2ptcptq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30343",
  "fulltext_url": null,
  "id": "6t13qq2ptcptq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30343",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214607639",
  "pdf_url": "https://arxiv.org/pdf/2609.30343",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6t13qq2ptcptq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30343",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30343"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Moduli Spaces of Twisted Endomorphisms and Euler Characteristics",
  "title_text": "Moduli Spaces of Twisted Endomorphisms and Euler Characteristics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/6t13qq2ptcptq",
  "venue": "arXiv",
  "versions": []
}