Research profile
Works on analytic minimal model program, Kähler geometry and Ricci-flat & Calabi–Yau.
NP-RC-2284760000-0003-1056-0629
Elsewhere ORCIDarXiv listing
From the tags on their papers
The topics of these papers. Tags are assigned automatically, so they point to a subject rather than judge the work.
Newest first
Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
We study an analogue of the Calabi flow in the non-Kähler setting for compact Hermitian manifolds with vanishing first Bott-Chern class. We prove a priori estimates for the evolving metric along the flow given a uniform bound on the Chern scalar curvature. If the Chern scalar curvature remains uniformly bounded for all time, we show that the flow converges smoothly to the unique Chern-Ricci-flat metric in the -class of the initial metric.
We study the behavior of the Kähler-Ricci flow on compact manifolds developing finite-time singularities, in particular, when the flow contracts exceptional divisors or collapses the Fano fibers of a holomorphic fiber bundle. We present a technique using holomorphic vector fields to prove estimates related to the work of Song-Weinkove and Fu-Zhang.
Nearby
Others whose papers here share the most particular topics with these, in alphabetical order, leaving out co-authors. This is a similarity of tags, not a judgement.
This number in this community
It is yours to shape. Send anything that should be added or corrected: your preferred spelling, an ORCID, a homepage, a line about your work. Or ask for the page to be removed. Someone reads every message. Mention NP-RC-228476 so it reaches the right page.
NP-RC-228476 is Xi Sisi Shen's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. How it is put together.
Every displayed equation has a TeX button that copies its LaTeX source.