Calibrated geometries

R Harvey, HB Lawson - 1982 - projecteuclid.org
This paper is perhaps best characterized as a foundational essay on the geometries of
minimal varieties associated to closed forms. The fundamental observation here is the …

[BOOK][B] Complex analytic sets

EM Chirka - 2012 - books.google.com
The theory of complex analytic sets is part of the modern geometrical theory of functions of
several complex variables. A wide circle of problems in multidimensional complex analysis …

Gauge theory and calibrated geometry, I

G Tian - Annals of mathematics, 2000 - JSTOR
3. Rectifiability of blow-up loci 3.1. Convergence of Yang-Mills connections 3.2. Tangent
cones of blow-up loci 3.3. Rectifiability 4. Structure of blow-up loci 4.1. Bubbling Yang-Mills …

On boundaries of complex analytic varieties, I

FR Harvey, HB Lawson - Annals of Mathematics, 1975 - JSTOR
It seems one of the natural and fundamental questions of complex geometry to ask which
odd-dimensional, real submanifolds of a complex space X are boundaries of complex …

On stable currents and their application to global problems in real and complex geometry

HB Lawson, J Simons - Annals of Mathematics, 1973 - JSTOR
428 HB LAWSON, JR. AND J. SIMONS a result of these difficulties there has been little
progress in making such generalizations. We avoid the first difficulty here by using minimal …

Closedness of the Douady spaces of compact Kähler spaces

A Fujiki - Publications of the Research Institute for Mathematical …, 1978 - jstage.jst.go.jp
Let X be a complex space and Dx the Douady space of compact analytic subspaces of X.
For every point d^ Dx-> we denote by Zd the corresponding analytic subspace of X. Define …

[PDF][PDF] Oka's inequality for currents and applications

JE Fornæss, N Sibony - 1995 - deepblue.lib.umich.edu
Oka's inequality for currents and applications Page 1 Math. Ann. 301, 399-419 (1995)
Ilalmlali~ AnMlu 9 Sprmger-Verlag 1995 Oka's inequality for currents and applications John …

Complex analytic sets

EM Chirka, P Dolbeault, GM Khenkin… - Introduction to Complex …, 1997 - Springer
The theory of complex analytic sets is part of the modern geometric theory of functions of
several complex variables. Traditionally, the presentation of the foundations of the theory of …

Colloquium lectures on geometric measure theory

H Federer - Bulletin of the American Mathematical Society, 1978 - ams.org
Much of the theory of functions was revolutionized by Lebesgue's method of integration. This
paved the way for great advances in Fourier analysis. Furthermore Lebesgue's contributions …

Quelques problemes de prolongement de courants en analyse complexe

N Sibony - 1985 - projecteuclid.org
Introduction I. Prolongement des courants positifs fermés (a) Prolongement des courants de
masse bornée à travers des ensembles polaires (b) Prolongement des courants de masse …