Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

IMPACT FACTOR 2018: 0.789

CiteScore 2018: 0.73

SCImago Journal Rank (SJR) 2018: 0.329
Source Normalized Impact per Paper (SNIP) 2018: 0.908

Mathematical Citation Quotient (MCQ) 2018: 0.53

See all formats and pricing
More options …
Volume 8, Issue 4


Finite type Monge–Ampère foliations

Morris Kalka
  • Mathematics Department, Tulane University, 6823 St. Charles Ave., New Orleans, LA 70118, USA. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Giorgio Patrizio
Published Online: 2008-11-28 | DOI: https://doi.org/10.1515/ADVGEOM.2008.031


For plurisubharmonic solutions of the complex homogeneous Monge–Ampère equation whose level sets are hypersurfaces of finite type, in dimension 2, it is shown that the Monge–Ampère foliation is defined even at points of higher degeneracy. The result is applied to provide a positive answer to a question of Burns on homogeneous polynomials whose logarithms satisfy the complex Monge–Ampère equation and to generalize the work of P. M. Wong on the classification of complete weighted circular domains.

About the article

Received: 2006-11-24

Revised: 2008-03-03

Published Online: 2008-11-28

Published in Print: 2008-10-01

Citation Information: Advances in Geometry, Volume 8, Issue 4, Pages 491–502, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/ADVGEOM.2008.031.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Morris Kalka and Giorgio Patrizio
Annali di Matematica Pura ed Applicata, 2010, Volume 189, Number 3, Page 381

Comments (0)

Please log in or register to comment.
Log in