Complex Geometry, Several Complex Variables, Algebraic Geometry, Differential Geometry.
[41] in preparation 🐬
[40] in preparation 🦔
[39]
S. Matsumura, Q. Chenghao (collaboration),
"On compact Kähler manifolds with pseudo-effective tangent bundle,"
preprint, available at arXiv:2502.00623v1.
[38]
S. Matsumura (single),
"Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature,"
preprint, availabe at arXiv:2502.00367v1.
[37] T. M. Chan, Y.-J. Choi, S. Matsumura (collaboration),
"Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces,"
preprint, available at arXiv:2409.14100v1.
[36] Y. Hashimoto, T. Koike, S. Matsumura (collaboration),
"Uniform L2-estimates for flat nontrivial line bundles on compact complex manifolds,"
Complex Manifolds, vol. 12, no. 1, 2025, pp. 20240009.
[35] T. Inayama, S. Matsumura, Y. Watanabe (collaboration),
"Singular Nakano positivity of direct image sheaves of adjoint bundles,"
preprint, available at arXiv:2407.11412v1.
[34] M. Iwai, S. Matsumura, N. Müller (collaboration),
"Abundance theorem for minimal projective varieties satisfying Miyaoka's equality,"
preprint, available at arXiv:2404.07568v1.
[33] T. Inayama, S. Matsumura (collaboration),
"Nakano positivity of singular Hermitian metrics: Approximations and applications,"
preprint, arXiv:2402.06883v1.
[32] M. Iwai, S. Matsumura, G. Zhong (collaboration),
"Positivity of tangent sheaves of projective varieties -- the structure of MRC fibrations,"
preprint, available at arXiv:2309.09489v1.
[31] T. M. Chan, Y.-J. Choi, S. Matsumura (collaboration),
"An injectivity theorem on snc compact Kähler spaces:
preprint, available at arXiv:2307.12025v2.
[30] S. Matsumura, X. Wu (collaboration),
"Compact Kähler three-folds with nef anti-canonical bundle,"
Mathematische Annalen, Volume 391 (2025), 1253--1289.
The old version on arXiv is titled ''3-folds'', but the latest and published version is titled ''three-folds''.
[29] S. Matsumura (single),
"Remarks on locally constant fibrations over varieties of Calabi-Yau type,"
Complex Geometric Analysis. CCGA 2022. Springer Proceedings in Mathematics & Statistics, vol 481. 137--143, Springer, Singapore.
[28] V. Lazić, S. Matsumura, T. Peternell, N. Tsakanikas, Z. Xie (collaboration),
"The Nonvanishing problem for varieties with nef anticanonical bundle,"
Documenta Mathematica, 28 (2023), no.6, 1393–1440.
[27] S. Matsumura (single),
"On the minimal model program for projective varieties with pseudo-effective tangent sheaf,"
Épijournal de Géométrie Algébrique, 27 novembre 2023, Volume 7.
[26] M. Iwai, S. Matsumura (collaboration),
"Abundance theorem for minimal compact Kähler manifolds with vanishing second Chern class,"
preprint, available at arXiv:2205.10613v1.
[25] H. Liu, S. Matsumura (collaboration),
"Strictly nef divisors on K-trivial fourfolds,"
Mathematische Annalen, 387 (2023), no. 1-2, 985–1008.
[24] J. Wang, S. Matsumura (collaboration),
"Structure theorem for projective klt pairs with nef anti-canonical divisor,"
preprint, available at arXiv:2105.14308v3.
[23] S. Matsumura (single),
"Open problems on structure of positively curved projective varieties,"
Annales de la Faculte des Sciences de Toulouse (6), 31 (2022), no. 3, 1011–1029.
[22] S. Ejiri, M. Iwai, S. Matsumura (collaboration), with an appendix by Frédéric Touzet,
"On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces,"
Journal of Algebraic Geometry, 32 (2023), no. 3, 477-517.
[21] F. Campana, J. Cao, S. Matsumura (collaboration),
"Projective klt pairs with nef anti-canonical divisor,"
Algebraic Geometry, 8 (2021), no. 4, 430–464.
[20] G. Hosono, M. Iwai, and S. Matsumura (collaboration),
"On projective manifolds with pseudo-effective tangent bundle,"
Journal of the Institute of Mathematics of Jussieu, 21 (2022), no. 5, 1801–1830.
[19] S. Matsumura (single),
"On projective manifolds with semi-positive holomorphic sectional curvature,"
American Journal of Mathematics, 144 (2022), no. 3, 747–777.
[18] S. Matsumura (single),
"On morphisms of compact Kähler manifolds with semi-positive holomorphic sectional curvature,"
Preprint, arXiv:1809.08859v1.
I will not publish [18], because the contents of [18] are contained in [19].
[17] S. Matsumura (single),
Pure and Applied Mathematics Quarterly, Vol. 16, No. 5 (2020), 1443-1463.
[16] S. Matsumura (single),
Algebraic Geometry, 9 (2022), no. 2, 122–158.
[15] O. Fujino and S. Matsumura (collaboration),
"Injectivity theorem for pseudo-effective line bundles and its applications,"
Transactions of the American Mathematical Society, Series B, 8 (2021), 849–884.
[14] S. Matsumura (single),
"A transcendental approach to injectivity theorem for log canonical pairs,"
The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), 19 (2019), no. 1, 311–334.
[13] S. Matsumura (single),
Journal of Algebraic Geometry, Volume 27 (2018), no. 2, 305–337.
[12] S. Matsumura (single),
"Variation of numerical dimension of singular Hermitian line bundles,"
Geometric Complex Analysis, In Honor of Kang-Tae Kim's 60th Birthday,
Volume 246 of the series Springer Proceedings in Mathematics & Statistics, (2017), 247-255.
The title has been changed from "Remark on the numerical dimension of singular Hermitian line bundles."
[11] J. Cao, J.-P. Demailly, and S. Matsumura (collaboration),
"A general extension theorem for cohomology classes on non reduced analytic spaces,"
The journal SCIENCE CHINA Mathematics, Volume 60 (2017), no 6, 949--963.
Special Issue on Several Complex Variables in Memory of Professor LU QiKeng.
[10] S. Matsumura (single),
"A vanishing theorem of Kollár-Ohsawa type,"
Mathematische Annalen, Volume 366 (2016), no. 3, 1451--1465.
[9] Y. Gongyo and S. Matsumura (collaboration),
"Versions of injectivity and extension theorems,"
Annales Scientifiques de l'École Normale Supérieure, Volume 50, fascicule 2 (2017), 479--502.
[8] S. Matsumura (single),
"Injectivity theorems with multiplier ideal sheaves and their applications,"
Complex Analysis and Geometry, Volume 144 of the series Springer Proceedings in Mathematics & Statistics, (2015), 241-255.
[7] S. Matsumura (single),
"Some applications of the theory of harmonic integrals,"
Complex Manifolds, Volume 2, (2015), 15--25.
[6] S. Matsumura (single),
"A Nadel vanishing theorem for metrics with minimal singularities on big line bundles,"
Advances in Mathematics, Volume 359 (2015), 188--207.
[5] S. Matsumura (single),
"A Nadel vanishing theorem via injectivity theorems,"
Mathematische Annalen, Volume 359 (2014), no. 4, 785--802.
[4] S. Matsumura (single),
"Weak Lefschetz theorems and the topology of zero loci of ample vector bundles,"
Communications in Analysis and Geometry, Volume 22 (2013), no. 4, 595--616.
[3] S. Matsumura (single),
"An ampleness criterion with the extendability of singular positive metrics,"
Mathematische Zeitschrift, 273 (2013), no. 1, 43--54.
[2] S. Matsumura (single),
"Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces,"
Annales de l'Institut Fourier, Volume 63 (2013), no. 6, 2199--2221.
[1] S. Matsumura (single),
"Restricted volumes and divisorial Zariski decompositions,"
The American Journal of Mathematics, Volume 135 (2013), no. 3, 637--662.
[0] S. Matsumura (single),
"Studies on the asymptotic invariants of cohomology groups and the positivity in complex geometry,"
Ph.D. thesis.
####### Articles not peer-reviewed#######
[C2] J. Cao (author), S. Matsumura (editor), S. Matsumura and S. Nakamura(writers),
“On the Ohsawa-Takegoshi L2 extension theorem and its applications.”
Series of Lecture note of Mathematical Institute of Tohoku University
(JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers).
[C1] S. Matsumura (single),
“On the curvature of holomorphic line bundles with partially vanishing cohomology,”
RIMS Kôkyurôku, 1783 (2012), pp.155-168.
####### Articles written in Japanese #######
[D10] S. Matsumura (Single author)
"A survey of structure theorems for varieties with non-negative curvature in complex geometry,"
to appear in Sugaku Expositions.
This an English translation [D7].
[D9] S. Matsumura (Single author)
2021年度 城崎シンポジウムの報告集.
[D8] S. Matsumura (Single author)
都の西北 代数幾何学シンポジウム 「接束の正値性とその周辺」のプロシーディング.
[D7] S. Matsumura (Single author)
雑誌『数学』 日本数学会 編 76 (3), 252-281, 2024
(Sugaku, Volume 76-3, 2024, pp. 252 - 281)
[D6] S. Matsumura (Single author)
"大沢健夫著 “ L2 approaches in Several Complex Variables”に対する書評,"
雑誌『数学』 日本数学会 編 72 (3), 310-313, 2020
[D5] S. Matsumura (single),
"非負曲率を持つ射影多様体に対する構造定理 —有理連結性と複素解析的な正値性—,"
日本数学会 秋季総合分科会 函数論分科会 特別講演のアブストラクト.
[D4] S. Matsumura (single),
"超越的な手法を用いた小平型のコホモロジー消滅定理の一般化について,"
日本数学会 秋季総合分科会 函数論分科会 特別講演のアブストラクト.
[D3] S. Matsumura (single),
2015年度 城崎シンポジウムの報告集.
[D2] S. Matsumura (single),
“A Nadal vanishing theorem for metrics with minimal singularities on big line bundles.”
第57回 函数論シンポジウのプロシーディング.
[D1] S. Matsumura (single),
“Nadel type vanishing theorems and dbar-equations.
第60回幾何学シンポジウムのプロシーディング.