Shin-ichi MATSUMURA's webpage
● What's new
DD/MM/YYYY
12/04/2024: Paper [34] has been uploaded to arXiv.
06/02/2024: Paper [33] has been uploaded to arXiv.
10/10/2023: Paper [28] has been accepted by Documenta Mathematica.
18/09/2023:Paper [32] has been uploaded to arXiv.
03/09/2023:Paper [27] has been accepted by Épijournal de Géométrie Algébrique.
25/07/2023:Paper [31] has been uploaded to arXiv.
13/04/2023 Paper [30] has been uploaded to arXiv.
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● About me
My name is Shin-ichi Matsumura (松村 慎一 in native script).
I am a mathematician affiliated with Mathematical Institute of Tohoku University in Japan.
My research interests lie in complex geometry, several complex variables, and algebraic geometry.
I am studying algebraic varieties (more generally Kaehler manifolds) and global complex analysis on them, using transcendental methods arising from the theory of several complex variables and differential geometry, motivated by higher-dimensional algebraic geometry (particularly, birational geometry). My recent interest lies in the following topics:
-Problems of extending holomorphic sections of pluri-canonical bundles from subvarieties to the ambient space, with applications in the minimal model program.
-Construction of an analytic framework for Hodge theory and the singularities (especially, the log canonical singularities) in algebraic geometry.
-Structure theorems for Kaehler spaces under certain semi-positively curved conditions, like semi-positive (bi)sectional curvature, tangent bundles, and anti-canonical divisors.
Comments on my research and papers are always welcome. Please feel free to e-mail me.
● Contents of this web page
-- Papers (the list of my papers, including preprints)
-- Tips