Interior estimates for solutions of Abreu's equation.

Simon K. Donaldson

Collectanea Mathematica (2005)

  • Volume: 56, Issue: 2, page 103-142
  • ISSN: 0010-0757

Abstract

top
This paper develops various estimates for solutions of a nonlinear, fouth order PDE which corresponds to prescribing the scalar curvature of a toric Kähler metric. The results combine techniques from Riemannian geometry and from the theory of Monge-Ampère equations.

How to cite

top

Donaldson, Simon K.. "Interior estimates for solutions of Abreu's equation.." Collectanea Mathematica 56.2 (2005): 103-142. <http://eudml.org/doc/41824>.

@article{Donaldson2005,
abstract = {This paper develops various estimates for solutions of a nonlinear, fouth order PDE which corresponds to prescribing the scalar curvature of a toric Kähler metric. The results combine techniques from Riemannian geometry and from the theory of Monge-Ampère equations.},
author = {Donaldson, Simon K.},
journal = {Collectanea Mathematica},
keywords = {Geometría diferencial global; Variedades kählerianas; Toros geométricos; Ecuaciones en derivadas parciales no lineales; Monge-Ampère equation; Abreu's equation; a priori estimation of solutions; toric varieties; Kähler geometry},
language = {eng},
number = {2},
pages = {103-142},
title = {Interior estimates for solutions of Abreu's equation.},
url = {http://eudml.org/doc/41824},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Donaldson, Simon K.
TI - Interior estimates for solutions of Abreu's equation.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 2
SP - 103
EP - 142
AB - This paper develops various estimates for solutions of a nonlinear, fouth order PDE which corresponds to prescribing the scalar curvature of a toric Kähler metric. The results combine techniques from Riemannian geometry and from the theory of Monge-Ampère equations.
LA - eng
KW - Geometría diferencial global; Variedades kählerianas; Toros geométricos; Ecuaciones en derivadas parciales no lineales; Monge-Ampère equation; Abreu's equation; a priori estimation of solutions; toric varieties; Kähler geometry
UR - http://eudml.org/doc/41824
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.