Skip to main content
CenXiv.org
This website is in trial operation, support us!
We gratefully acknowledge support from all contributors.
Contribute
Donate
cenxiv logo > math > arXiv:2306.00313v3

Help | Advanced Search

Mathematics > Algebraic Geometry

arXiv:2306.00313v3 (math)
[Submitted on 1 Jun 2023 (v1) , last revised 8 Oct 2025 (this version, v3)]

Title: $L^{2}$-approach to the Saito vanishing theorem

Title: $L^{2}$-方法到Saito消去定理

Authors:Hyunsuk Kim
Abstract: We give an analytic proof of the Saito vanishing theorem using $L^{2}$-methods, by going back to the original idea for the proof of the Kodaira vanishing theorem.
Abstract: 我们使用$L^{2}$-方法对Saito消解定理给出一个解析证明,回到Kodaira消解定理证明的原始思路。
Comments: 28 pages, Final version
Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)
MSC classes: 14D07, 14F17, 14F25, 32J25
Cite as: arXiv:2306.00313 [math.AG]
  (or arXiv:2306.00313v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2306.00313
arXiv-issued DOI via DataCite

Submission history

From: Hyunsuk Kim [view email]
[v1] Thu, 1 Jun 2023 03:25:09 UTC (30 KB)
[v2] Sun, 23 Feb 2025 18:40:59 UTC (31 KB)
[v3] Wed, 8 Oct 2025 16:58:04 UTC (31 KB)
Full-text links:

Access Paper:

    View a PDF of the paper titled
  • View Chinese PDF
  • View PDF
  • HTML (experimental)
  • TeX Source
license icon view license
Current browse context:
math.AG
< prev   |   next >
new | recent | 2023-06
Change to browse by:
math
math.DG

References & Citations

  • NASA ADS
  • Google Scholar
  • Semantic Scholar
a export BibTeX citation Loading...

BibTeX formatted citation

×
Data provided by:

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)
  • Author
  • Venue
  • Institution
  • Topic

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
  • About
  • Help
  • contact arXivClick here to contact arXiv Contact
  • subscribe to arXiv mailingsClick here to subscribe Subscribe
  • Copyright
  • Privacy Policy
  • Web Accessibility Assistance
  • arXiv Operational Status
    Get status notifications via email or slack

京ICP备2025123034号