most citedK-stability of constant scalar curvature Kähler manifolds

27 citations · 31 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2008★ 4 cited

Twisted cscK metrics and Kähler slope stability

Jacopo Stoppa

We introduce a cohomological obstruction to solving the constant scalar curvature Kähler (cscK) equation twisted by a semipositive form, appearing in works of Fine and Song-Tian. G…

math.AG2008★ 27 cited

K-stability of constant scalar curvature Kähler manifolds

Jacopo Stoppa

We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.

math.AG2007

Unstable Blowups

Jacopo Stoppa

Let (X,L) be a polarised manifold. We show that K-stability and asymptotic Chow stability of the blowup of X along a 0-dimensional cycle are closely related to Chow stability of th…