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20022008
most citedSome recent transcendental techniques in algebraic and complex geometry

31 citations · 44 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG20082 cited

Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring

Yum-Tong Siu

This article is written for the Proceedings of the Conference on Current Developments in Mathematics in Harvard University, November 16-17, 2007. It is an exposition of the analyti…

math.CV20077 cited

Effective Termination of Kohn's Algorithm for Subelliptic Multipliers

Yum-Tong Siu

This note discusses the problem of the effective termination of Kohn's algorithm for subelliptic multipliers for bounded smooth weakly pseudoconvex domains of finite type. We give…

math.AG20074 cited

Additional Explanatory Notes on the Analytic Proof of the Finite Generation of the Canonical Ring

Yum-Tong Siu

This set of notes provides some additional explanatory material on the analytic proof of the finite generation of the canonical ring for a compact complex algebraic manifold of gen…

math.CV200231 cited

Some recent transcendental techniques in algebraic and complex geometry

Yum-Tong Siu

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 ar…

math.CV2002

Addendum to ``Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees,'' Amerian Journal of Mathematics 119 (1997), 1139-1172

Yum-Tong Siu, Sai-Kee Yeung

This is an addendum to our earlier paper on the defect of an ample divisor of an abelian variety. It modifies an argument of the original paper to handle one difficulty there. At t…