Some Recent Transcendental Techniques in Algebraic and Complex Geometry

DSpace/Manakin Repository

Some Recent Transcendental Techniques in Algebraic and Complex Geometry

Citable link to this page

 

 
Title: Some Recent Transcendental Techniques in Algebraic and Complex Geometry
Author: Siu, Yum-Tong
Citation: Siu, Yum-Tong. 2002. Some Recent Transcendental Techniques in Algebraic and Complex Geometry. In Proceedings of the International Congress of Mathematicians, Beijing, China, August 20-28, 2002, Volume I: 439-448.
Full Text & Related Files:
Abstract: This article discusses the recent transcendental techniques used in the proofs of the following three conjectures. (1) The plurigenera of a compact projective algebraic manifold are invariant under holomorphic deformation. (2) There exists no smooth Leviflat hypersurface in the complex projective plan. (3) A generic hypersurface of sufficiently high degree in the complex projective space is hyperbolic in the sense that there is no nonconstant holomorphic map from the complex Euclidean line to it.
Published Version: http://www.mathunion.org/ICM/ICM2002.1/ICM2002.1.ocr.pdf
Other Sources: https://arxiv.org/abs/math/0212402
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:32192700
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters