Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.
Finski, Submultiplicative norms and filtrations on section rings, arXiv:2210.03039 , to appear in Proc
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2verdicts
UNVERDICTED 2representative citing papers
A survey of key results and open problems in the metric geometry of the space of Kähler metrics over the last ten years.
citing papers explorer
-
About Wess-Zumino-Witten equation and Harder-Narasimhan potentials
Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.
-
A decade of metric geometry in the space of K\"ahler metrics
A survey of key results and open problems in the metric geometry of the space of Kähler metrics over the last ten years.