Skip to content
DraconiticResearch
Search Sources API
190,335 studies31 sourcesUpdated 37 min ago
PreprintarXiv licencearXiv

The symbolic and divisorial analytic spreads are finite

  • Jonathan Montaño
Open at sourcePDFDOICite

Abstract

Let R be a ring that is essentially of finite type over a field and I⊆ R be an ideal. In this article it is shown that the minimal number of generators of the symbolic powers I(n) is bounded above by a polynomial in n. Furthermore, if R is assumed to be a domain and ℐ={In}n≥ 0 is an ℝ-divisorial filtration, then the minimal number of generators of the ideals In is again bounded above by a polynomial in n.

Related

  1. Analytic rigidity and symbolic dynamics for two-centre billiards
    Stefano Baranzini, Susanna Terracini
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv
  2. Finite Length of Locally Analytic Vectors for GL2(F) and DF×
    Pengcheng Ding
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Finite Sample Identification of Analytic Nonlinear Systems
    Negin Musavi, Ziyao Guo, Geir E. Dullerud +1
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  4. Credit Spreads' Term Structure: Stochastic Modeling with CIR++ Intensity
    Mohamed Ben Alaya, Ahmed Kebaier, Djibril Sarr
    HALPreprintLicence not statedFull text2 citedNumerical analysis & scientific computingHALHAL
  5. Extended Abstract of Counting Divisorial Contractions with Centre a cAn-Singularity
    Erik Paemurru
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{montano2026symbolic,
  title = {{The symbolic and divisorial analytic spreads are finite}},
  author = {Jonathan Montaño},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.31155},
  eprint = {2608.31155},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.31155},
}
RIS
TY  - UNPB
TI  - The symbolic and divisorial analytic spreads are finite
AU  - Jonathan Montaño
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.31155
UR  - https://arxiv.org/abs/2608.31155
AB  - Let R be a ring that is essentially of finite type over a field and I⊆ R be an ideal. In this article it is shown that the minimal number of generators of the symbolic powers I^(n) is bounded above by a polynomial in n. Furthermore, if R is assumed to be a domain and ℐ={I_n}_n≥ 0 is an ℝ-divisorial filtration, then the minimal number of generators of the ideals I_n is again bounded above by a polynomial in n.
ER  -