A Guided Tour to Normalized Volume Page 1 Progress in Mathematics, Vol. 333, 167–219 A
Guided Tour to Normalized Volume Chi Li, Yuchen Liu and Chenyang Xu Dedicated to Gang …

arXiv:1806.07112v2 [math.AG] 25 Jan 2019 Page 1 arXiv:1806.07112v2 [math.AG] 25 Jan
2019 Dedicated to Gang Tian’s Sixtieth Birthday with admiration A GUIDED TOUR TO …

We confirm a conjecture of Chi Li which says that the minimizer of the normalized volume
function for a klt singularity is unique up to rescaling. This is achieved by defining stability …

RELATIVE VOLUME COMPARISON WITH INTEGRAL CURVATURE BOUNDS P. Petersen
and G. Wei 1 Introduction Page 1 GAFA, Geom. funct. anal. Vol. 7 (1997) 1031 – 1045 1016-443X/97/0601031-15 …

The ACC conjecture for local volumes predicts that the set of local volumes of klt
singularities $ x\in (X,\Delta) $ satisfies the ACC if the coefficients of $\Delta $ belong to a …

We make some improvements to our previous results in [TV05a] and [TV05b]. First, we prove
a version of our volume growth theorem which does not require any assumption on the first …

We consider the volume-constrained minimization of the sum of the perimeter and the Riesz
potential. We add an external potential of the form ‖x‖^β that provides the existence of a …

In the context of his work on maximal functions in the 1980s, Jean Bourgain came across the
following geometric question: Is there c> 0 such that for any dimension n and any convex …

Gromov's universal filling inequalities relate the filling radius and the filling volume of a
Riemannian manifold to its volume. The main result of the present article is that in …

Let M be a compact complex manifold admitting a Kähler structure. A conformally Kähler,
Einstein–Maxwell metric (cKEM metric for short) is a Hermitian metric g on M with constant …