As suggested by the title, this book treats the classical theory of minimal surfaces in Euclidean spaces by complex analytic methods. The connection between these two subjects …
This book is devoted to an exposition of the theory of polynomially convex sets. Acompact N subset of C is polynomially convex if it is de? ned by a family,? nite or in? nite, of polynomial …
Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has …
TC Dinh, N Sibony - Annales scientifiques de l'Ecole normale supérieure, 2004 - Elsevier
Let T be a positive closed (p, p)-current on a compact Kähler manifold X. We prove the existence of smooth positive closed (p, p)-forms Tn+ and Tn− such that Tn+− Tn−→ T …
We study the induced¯∂-equation on a positive current in a complex manifold. We extend the L 2-estimates for the¯∂-equation to harmonic currents of bidimension (1, 1), satisfying a …
Y Eliashberg - Bulletin of the American Mathematical Society, 2015 - ams.org
Flexible and rigid methods coexisted in symplectic topology from its inception. While the rigid methods dominated the development of the subject during the last three decades, the …
R Dujardin - American journal of mathematics, 2004 - muse.jhu.edu
We study the dynamics of a class of nonalgebraic holomorphic diffeomorphisms, topological analogues in the unit bidisk of complex Hénon mappings in [inline-graphic xmlns: xlink=" …
TC Dinh - The Journal of Geometric Analysis, 2005 - Springer
Abstract Let F n: X 1→ X 2 be a sequence of (multivalued) meromorphic maps between compact Kähler manifolds. We study the asymptotic distribution of preimages of points by F n …
T Harz, N Shcherbina, G Tomassini - Mathematische Zeitschrift, 2017 - Springer
We show that every strictly pseudoconvex domain Ω Ω with smooth boundary in a complex manifold MM admits a global defining function, ie, a smooth plurisubharmonic function φ: U …