論文

  1. Masataka Iwai. ‘On the global generation of direct images of pluri-adjoint line bundles.’, Mathematische Zeitschrift. 294 201-208 (2020) DOI 10.1007/s00209-019-02266-0 arXiv Article link
  2. Masataka Iwai. ‘Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics.’, Ann. Fac. Sci. Toulouse Math. (6) 30 (2021), no. 1, 63–81. DOI: https://doi.org/10.5802/afst.1666 arXiv Article link
  3. Genki Hosono, Masataka Iwai, Shin-ichi Matsumura. ‘On projective manifolds with pseudo-effective tangent bundle.’ Journal of the Institute of Mathematics of Jussieu. (2021) doi:10.1017/S1474748020000754 arXiv, Article link, source code of Prop 4.8
  4. Masataka Iwai. ‘Characterization of pseudo-effective vector bundles by singular Hermitian metrics.’ Michigan Mathematical Journal. (2021) DOI:10.1307/mmj/20195833. arXiv Article link
  5. Masataka Iwai. ‘Almost nef regular foliations and Fujita’s decomposition of reflexive sheaves.’ Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. (2022) VOL. XXIII, ISSUE 2 719-743 DOI: 10.2422/2036-2145.202010_055 arXiv Article link
  6. Sho Ejiri, Masataka Iwai, Shin-ichi Matsumura. ‘On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces.’ Journal of Algebraic Geometry. (2023) DOI: https://doi.org/10.1090/jag/814 arXiv　Article Link
  7. Masataka Iwai. ‘On the structure of a log smooth pair in the equality case of the Bogomolov-Gieseker inequality’. Annales de l’Institut Fourier. (2024) DOI: 10.5802/aif.3651 arXiv Article Link source code of Remark 5.3
  8. Masataka Iwai, Chen Jiang, Haidong Liu. ‘Miyaoka type inequality for terminal threefolds with nef anti-canonical divisors.’ SCIENCE CHINA Mathematics. (2024) DOI: https://doi.org/10.1007/s11425-023-2230-6 arXiv Article Link
  9. Sho Ejiri, Osamu Fujino, Masataka Iwai ‘Positivity of extensions of vector bundles.’ Mathematische Zeitschrift. 306, 47 (2024). DOI: https://doi.org/10.1007/s00209-023-03428-x arXiv Article Link
  10. Masataka Iwai, Shin-ichi Matsumura, Guolei Zhong ‘Positivity of tangent sheaves of projective varieties – the structure of MRC fibrations.’ arXiv to appear in Algebraic Geometry
  11. Masataka Iwai, Shin-ichi Matsumura, Niklas Müller ‘Minimal projective varieties satisfying Miyaoka’s equality.’ Proceedings of the London Mathematical Society. arXiv Article Link DOI: https://doi.org/10.1112/plms.70104

プレプリント

  • Masataka Iwai, Shin-ichi Matsumura. ‘Abundance theorem for minimal compact Kahler manifolds with vanishing second Chern class.’ arXiv Remark

  • Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang ‘The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors’ arXiv

報告集

  1. ‘相対的な設定での藤田予想について’ 第24回代数学若手研究会報告集 PDF
  2. ‘Projective manifolds with pseudo-effective tangent bundles’ 第62回函数論シンポジウム報告集 PDF
  3. ‘On the structure of a log smooth pair in the equality case of the Bogomolov-Gieseker inequality’ 都の西北代数幾何学シンポジウム2021報告集 PDF
  4. ‘Abundance theorem for minimal compact Kahler manifolds with vanishing second Chern class.’ 第69回幾何学シンポジウム 予稿(報告集) PDF
  5. ‘チャーン類の不等式と構造定理’ 日本数学会2025年度年会 函数論分科会 特別講演 アブストラクト PDF

ノート

勉強したことなどをまとめた自分用のノートです. 自分用ですがホームページにおいていると便利なのであげることにしました. 間違っている可能性は大いにあるので注意してください. (岩井の写し間違いや勘違いが多くあると思います.)

数学以外の論文・プレプリント

  • Masataka Iwai. ‘地震発生の新しい統計則に関する数理的研究.’ 数理科学実践研究レター. Article link
  • Masataka Iwai, Takahito Kashiwabara, Ichiro Sato and Ryosuke Yano. ‘Earthquake-network in Japan based on Abe-Suzuki model and its characteristics.’ DOI: 10.13140/RG.2.2.12494.61766 ResearchGate

その他