伊藤 敦(イトウ アツシ)
- 所属
- 数理物質系
- 職名
- 教授
- URL
- 研究分野
代数学 - 研究キーワード
代数幾何学 直線束の正値性 トーリック多様体 - 研究課題
代数多様体上の直線束の正値性に関する研究 2021-04 -- 2026-03 日本学術振興会/基盤研究(C) 3,250,000円 トーリック多様体の双対欠損の組合せ論的記述に関する研究 2017-04 -- 2024-03 日本学術振興会/若手研究(B) 3,250,000円 フロベニウス－セシャドリ定数の研究 2014-04 -- 2017-03 日本学術振興会/特別研究員奨励費 4,030,000円 森夢空間の具体例について 2013-04 -- 2015-03 日本学術振興会/研究活動スタート支援 2,600,000円 偏曲代数多様体におけるセシャドリ定数の研究 2011-04 -- 2012-03 日本学術振興会/特別研究員奨励費 700,000円 - 職歴
2023-04 -- 2024-09 岡山大学環境生命自然科学学域准教授 2021-04 -- 2023-03 岡山大学自然科学学域准教授 2017-04 -- 2021-03 名古屋大学大学院多元数理科学研究科助教 2014-04 -- 2017-03 日本学術振興会特別研究員（PD） 2013-01 -- 2014-03 東京大学大学院数理科学研究科教務補佐員 2012-04 -- 2012-12 東京大学大学院数理科学研究科特任研究員 - 取得学位
2012-03 博士（数理科学） 東京大学 2009-03 修士（数理科学） 東京大学 2007-03 学士（理学） 東京大学 - 所属学協会
2021-04 -- (現在) 日本数学会 - 論文
- On syzygies of projective bundles on abelian varieties
Atsushi Ito
Advances in Geometry/24(1)/pp.34-36, 2024 - The movable cone of Calabi–Yau threefolds in ruled Fano manifolds
Atsushi Ito; Ching-Jui Lai; Sz-Sheng Wang
Journal of Geometry and Physics/195/pp.105053-105053, 2024-01 - Projective normality and basepoint‐freeness thresholds of general polarized abelian varieties
Atsushi Ito
Bulletin of the London Mathematical Society/55(6)/pp.2793-2816, 2023-12 - Higher syzygies on general polarized Abelian varieties of type (1,⋯,1,d)
Atsushi Ito
Mathematische Nachrichten/296(8)/pp.3395-3410, 2023-08 - Corrigendum to “Successive minima of line bundles”
Florin Ambro; Atsushi Ito
Advances in Mathematics/420/pp.108966-108966, 2023-05 - Basepoint-freeness thresholds and higher syzygies on abelian threefolds
Atsushi Ito
Algebraic Geometry/9(6)/pp.762-787, 2022-11 - M-REGULARITY OF Q-TWISTED SHEAVES AND ITS APPLICATION TO LINEAR SYSTEMS ON ABELIAN VARIETIES
Atsushi Ito
Transactions of the American Mathematical Society/375(9)/pp.6653-673, 2022-06 - Examples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups
Atsushi Ito
Annales de l'Institut Fourier/71(2)/pp.515-537, 2021-12 - A combinatorial description of dual defects of toric varieties
Katsuhisa Furukawa; Atsushi Ito
Communications in Contemporary Mathematics/23(1)/pp.2050001-2050001, 2021-02 - Projective Reconstruction in Algebraic Vision
Atsushi Ito; Makoto Miura; Kazushi Ueda
Canadian Mathematical Bulletin/63(3)/pp.592-609, 2020-09 - Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties
Atsushi Ito; Makoto Miura; Shinnosuke Okawa; Kazushi ...
SELECTA MATHEMATICA-NEW SERIES/26(3), 2020-06 - Successive minima of line bundles
Florin Ambro; Atsushi Ito
Advances in Mathematics/365, 2020-05 - Complete intersection Calabi-Yau manifolds with respect to homogeneous vector bundles on Grassmannians
Daisuke Inoue; Atsushi Ito; Makoto Miura
Mathematische Zeitschrift/292(1-2)/pp.677-703, 2019-06 - On Separable Higher Gauss Maps
Atsushi Ito; Katsuhisa Furukawa
Michigan Mathematical Journal/68(3)/pp.483-503, 2019 - The class of the affine line is a zero divisor in the Grothendieck ring: Via G_2 -Grassmannians
Atsushi Ito; Makoto Miura; Shinnosuke Okawa; Kazushi ...
Journal of Algebraic Geometry/28(2)/pp.245-250, 2019 - A remark on higher syzygies on abelian surfaces
Atsushi Ito
Communications in Algebra/46(12)/pp.5342-5347, 2018-12 - On birational geometry of the space of parametrized rational curves in Grassmannians
Atsushi Ito
Transactions of the American Mathematical Society/369(9)/pp.6279-6301, 2017-09 - I-functions of Calabi Yau 3-folds in Grassmannians
Daisuke Inoue; Atsushi Ito; Makoto Miura
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS/11(2)/pp.273-309, 2017-06 - On Gauss Maps in Positive Characteristic in View of Images, Fibers, and Field Extensions
Katsuhisa Furukawa; Atsushi Ito
International Mathematics Research Notices/2017(8)/pp.2337-2366, 2017-04 - Gauss maps of toric varieties
Katsuhisa Furukawa; Atsushi Ito
Tohoku Mathematical Journal/69(3)/pp.431-454, 2017 - Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded
Atsushi Ito; Yusaku Tiba
Annales de l'Institut Fourier/65(5)/pp.2057-2068, 2015 - Algebro-geometric characterization of Cayley polytopes
Atsushi Ito
Advances in Mathematics/270/pp.598-608, 2015-01 - Examples of Mori dream spaces with Picard number two
Atsushi Ito
manuscripta mathematica/145(3-4)/pp.243-254, 2014-11 - Seshadri constants via toric degenerations
Atsushi Ito
Journal für die reine und angewandte Mathematik/695/pp.151-174, 2014-10 - Seshadri constants and degrees of defining polynomials
Atsushi Ito
Mathematische Annalen/358(1-2)/pp.465-476, 2014-02 - さらに表示...
- On syzygies of projective bundles on abelian varieties
- 会議発表等
- On estimation of Seshadri constants
ITO Atsushi
Conference - Affine Geometry and Birational Geometry/2025-02-10--2025-02-11 - A remark on some punctual Quot schemes on smooth projective curves
ITO Atsushi
Workshop in Algebraic Geometry in Bandai-Atami/2025-01-19 - On Seshadri constant and Gromov width on toric varieties and lattice width of moment polytopes
伊藤 敦
射影多様体の幾何とその周辺2024/2024-10-14 - Review of some recent results on linear systems on abelian varieties
ITO Atsushi
Japanese-European Symposium on Symplectic Varieties and Moduli Spaces – 8th Edition/2024-09-17 - On Seshadri constant and Gromov width on toric varieties and lattice width of moment polytopes
ITO Atsushi
Varieties with Boundaries/2024-06-28 - Projective normality of general polarized abelian varieties
伊藤 敦
K3, Enriques Surfaces, and Related Topics/2023-03-22 - Review of some recent results on linear systems on abelian varieties
ITO Atsushi
The 1st Algebraic geometry Atami symposium/2023-02-08 - Projective normality of general polarized abelian varieties
伊藤 敦
城崎代数幾何学シンポジウム 2022/2022-10-20 - Linear systems on abelian varieties via M-regularity of Q-twisted sheaves
伊藤 敦
第66回 代数学シンポジウム/2021-08-31 - Linear systems on general polarized abelian varieties of type (1,...,1,d)
伊藤 敦
都の西北 代数幾何学シンポジウム 2021/2021-08-19 - Linear systems on abelian varieties
伊藤 敦
第 16 回代数・解析・幾何学セミナー/2021-02-17 - On a generalization of Seshadri constant
伊藤 敦
第2回大阪高次元代数多様体論/2019-05-27 - On a generalization of Seshadri constant
ITO Atsushi
Toric geometry, degenerations and related topics/2019-02-13 - On Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups
ITO Atsushi
Workshop on Birational Geometry and Related Topics/2018-11-03 - On Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups
ITO Atsushi
Algebraic Geometry in East Asia/2018-10-25 - On Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups
ITO Atsushi
Differential, Algebraic and Topological Methods in Complex Algebraic Geometry/2018-09-06 - A combinatorial description of dual defects of toric varieties
ITO Atsushi
Positivity in Algebraic Geometry/2018-06-06 - A remark on higher syzygies on abelian surfaces
ITO Atsushi
Higher dimensional algebraic geometry/2018-03-13 - On Grothendieck ring of varieties and derived equivalence
ITO Atsushi
The 11th Conference on Arithmetic and Algebraic Geometry/2018-01-23 - Some topics on positivity of line bundles
ITO Atsushi
Lectures in KAIST/2018-01-02--2018-01-03 - On Grothendieck ring of varieties and derived equivalence
ITO Atsushi
Second Japanese-European Symposium on Symplectic Varieties and Moduli Spaces/2017-09-21 - On reconstruction problem in algebraic vision
ITO Atsushi
Classification and Moduli Theory of Algebraic Varieties/2017-09-14 - On derived equivalence and Grothendieck ring of varieties
ITO Atsushi
The 2nd Higher dimensional algebraic geometry Echigo Yuzawa symposium/2017-02-16 - Remark on higher syzygies on abelian surfaces
ITO Atsushi
Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry/2017-02-09 - On Gauss maps in positive characteristic
伊藤 敦
第13回アフィン代数幾何学研究集会/2016-03-05 - さらに表示...
- On estimation of Seshadri constants
- 学内管理運営業績
2025-04 -- 2026-03 研究倫理委員会 2025-04 -- 2026-03 数理物質系学際セミナー運営委員
(最終更新日: 2025-04-23)