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researcher

S. Donaldson

15 papers hereh-index 4916.3k citations162 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author10
  • first author2
  • middle author1
  • last author2

Across the 15 of 15 papers where every author was matched, so the position is known.

fields
  • math.DG13
  • math.GT1
  • math.SG1

identity via Semantic Scholar / OpenAlex

activity
20002011
most citedInterior estimates for solutions of Abreu's equation

131 citations · 296 across the 14 of their papers we have counts for

collaborators
Showing 2006 · math.DGShow all

2 papers · 2 filters

math.DG2006★ 8 cited

Extremal metrics on toric surfaces, I

S. K. Donaldson

The paper develops a continiuty method for solutions of the Abreu equation, which include extremal metrics on toric surfaces. Results are obtained, assuming a hypothesis (the "M-co…

math.DG2006

Two-forms on four-manifolds and elliptic equations

S. K. Donaldson

We define a general class of elliptic equations for 2-forms on 4-manifolds, of which the complex Monge-Ampere equation is a prototype. We obtain some regularity results and discuss…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.