Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 56 min ago
PreprintarXiv licencearXiv

On the coefficients of the asymptotic of analytic torsion

  • Mounir Hajli
Open at sourcePDFDOICite

Abstract

In this article, we study the asymptotic expansion of the analytic torsion associated with positive Hermitian line bundles on projective spaces. We show that the expansion contains no terms of the form k−ilog k for i≥ 1. The proof combines the arithmetic Riemann-Roch theorem with an explicit computation of the arithmetic degree of spaces of global sections.

Related

  1. Equivariant analytic torsion forms
    Yuxiang Li
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  2. Analytic Torsion for Symmetric Contact Manifolds
    Niklas Henningsen
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  3. Structure of derived Hecke algebras with coefficients in torsion-free profinite rings
    Shuta Kataoka
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. SPECTRUM OF SINGULARITIES, ANALYTIC TORSION AND CALABI-YAU DEGENERATIONS
    Dennis Eriksson, Gerard Freixas Montplet
    HALPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryGeometry & topologyHALarXiv
  5. Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
    Walter Van Assche
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsProbabilityarXiv

Cite

BibTeXRIS
BibTeX
@misc{hajli2026coefficients,
  title = {{On the coefficients of the asymptotic of analytic torsion}},
  author = {Mounir Hajli},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38896},
  eprint = {2609.38896},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38896},
}
RIS
TY  - UNPB
TI  - On the coefficients of the asymptotic of analytic torsion
AU  - Mounir Hajli
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.38896
UR  - https://arxiv.org/abs/2609.38896
AB  - In this article, we study the asymptotic expansion of the analytic torsion associated with positive Hermitian line bundles on projective spaces. We show that the expansion contains no terms of the form k^−ilog k for i≥ 1. The proof combines the arithmetic Riemann-Roch theorem with an explicit computation of the arithmetic degree of spaces of global sections.
ER  -