skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Sturm, Jacob"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; ; (, Mathematische Zeitschrift)
    Free, publicly-accessible full text available June 1, 2026
  2. ; ; ; (, Mathematische Zeitschrift)
    Full Text Available 
  3. ; ; ; (, Communications on pure and applied mathematics)
    Diameter estimates for K\"ahler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $$L^\infty$$ estimates for the Monge-Amp\`ere equation, with a key improvement allowing degeneracies of the volume form of codimension strictly greater than one. As a consequence, diameter bounds are obtained for long-time existence of the K\"ahler-Ricci flow and finite-time solutions when the K\"ahler class is big, as well as for special vibrations of Calabi-Yau manifolds. 
    more » « less
    Accepted Manuscript Full Text Available
  4. ; ; (, Mathematische Annalen)
    Abstract The stable reduction theorem says that a family of curves of genus$$g\ge 2$$ g ≥ 2 over a punctured curve can be uniquely completed (after possible base change) by inserting certain stable curves at the punctures. We give a new this result for curves defined over$${\mathbb {C}}$$ C , using the Kähler–Einstein metrics on the fibers to obtain the limiting stable curves at the punctures. 
    more » « less
  5. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
    Full Text Available