Researcher Profile
Updated on 2024/07/17
代数幾何学
Natural Science / Algebra
Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic Peer-reviewed
Makoto Enokizono
Pacific Journal of Mathematics324 ( 1 ) 71 - 110 22 6 2023
Upper bounds on the slope of certain fibered surfaces Peer-reviewed
Makoto ENOKIZONO
Journal of the Mathematical Society of Japan75 ( 2 ) 21 4 2023
Slope equality of non-hyperelliptic Eisenbud–Harris special fibrations of genus 4 Peer-reviewed
Makoto Enokizono
Glasgow Mathematical Journal65 ( 2 ) 284 - 287 20 1 2023
AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES Peer-reviewed
MAKOTO ENOKIZONO, TATSUYA HORIGUCHI, TAKAHIRO NAGAOKA, AKIYOSHI TSUCHIYA
Transformation Groups28 ( 2 ) 695 - 732 10 8 2022
Slope equality of plane curve fibrations and its application to Durfee’s conjecture Peer-reviewed
Makoto Enokizono
Asian Journal of Mathematics26 ( 1 ) 119 - 136 2022
Durfee-type inequality for complete intersection surface singularities Peer-reviewed
Makoto Enokizono
Duke Mathematical Journal170 ( 1 ) 15 1 2021
Fibers of cyclic covering fibrations of a ruled surface Peer-reviewed
Makoto Enokizono
Tohoku Mathematical Journal71 ( 3 ) 1 9 2019
Slopes of fibered surfaces with a finite cyclic automorphism Peer-reviewed
Makoto Enokizono
Michigan Mathematical Journal66 ( 1 ) 1 3 2017
Minimal model program for log canonical pairs on complex analytic spaces
Makoto Enokizono, Kenta Hashizume
preprint arXiv:2404.05126. 4 2024
Semistable reduction for complex analytic spaces
Makoto Enokizono, Kenta Hashizume
preprint arXiv:2404.05124. 4 2024
Slope inequality of fibered surfaces, Morsification conjecture and moduli of curves
Makoto Enokizono
preprint arXiv:2307.04311. 2023
An integral version of Zariski decompositions on normal surfaces Peer-reviewed
Enokizono Makoto
preprint arXiv:2007.06519 to appear in European Journal of Mathematics 2020
Uniform bases for ideal arrangements
Enokizono Makoto, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya
preprint arXiv:1912.02448 2019
Strange examples of local signatures for fibered surfaces of small genus
Enokizono Makoto
preprint arXiv:1704.08805 2017
An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
榎園 誠
日本数学会2020年度秋季総合分科会
Slope inequality of fibered surfaces, Morsification conjecture and Moduli of curves Invited
Makoto Enokizono
17 2 2024
Global and local invariants of fibered surfaces Invited
27 12 2023
Slope inequality of fibered surfaces, Morsification conjecture and Moduli of curves Invited
Makoto Enokizono
Niigata Algebra Simposium 7 12 2023
Slope inequality of fibered surfaces and moduli of curves Invited
29 8 2023
Modular invariants of fibered surfaces Invited
Makoto Enokizono
11 6 2023
Slope inequality of fibered surfaces and moduli of curves Invited
Makoto Enokizono
Various aspects of singularities 30 3 2023
Slope inequality of fibered surfaces and moduli of curves Invited
Makoto Enokizono
23 2 2023
代数曲面上の曲線からの射の拡張定理 Invited
Enokizono Makoto
25 3 2022
On vanishing theorems for normal surfaces in positive characteristic Invited
Makoto Enokizono
12 10 2021
Adjoint linear systems on normal surfaces
Makoto Enokizono
6 8 2021
Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic Invited
Makoto Enokizono
28 6 2021
Vanishing theorem on normal surfaces in positive characteristic Invited
Makoto Enokizono
10 5 2021
Extension theorem of morphisms from divisors on normal surfaces Invited
Makoto Enokizono
Degenerations and models of algebraic varieties and related topics 17 2 2021
Integral Zariski decomposition on normal surfaces and its applications Invited
Kinosaki algebraic geometry symposium 2020 21 10 2020
Uniform bases for ideal arrangements
榎園 誠
日本数学会2020年度秋季総合分科会 23 9 2020
An integral version of Zariski decompositions on normal surfaces Invited
榎園 誠
第22回代数曲面ワークショップZoom 10 9 2020
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
20 1 2020
On local invariants for fibered surfaces Invited
Enokizono Makoto
14 12 2019
Uniform bases for ideal arrangements Invited
Enokizono Makoto
6 11 2019
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
29 8 2019
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
7 8 2019
Slope inequality for fibered surfaces and Durfee's conjecture for surface singularities Invited
Enokizono Makoto
20 7 2019
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
5 7 2019
On local signatures for holomorphic fibrations Invited International conference
Enokizono Makoto
Lefschetz Pencils and Low dimensional Topology 31 5 2019
Slope inequality for fibered surfaces and Durfee's conjecture for surface singularities Invited International conference
Enokizono Makoto
Branched Coverings, Degenerations, and Related Topics 2019 7 3 2019
The cohomology rings of regular nilpotent Hessenberg varieties Invited
Enokizono Makoto
1 3 2019
正則な冪零ヘッセンバーグ多様体のコホモロジー環について Invited
榎園 誠
第29回大和郡山セミナー 28 2 2019
正則な冪零ヘッセンバーグ多様体のコホモロジー環について
榎園 誠
第24回代数学若手研究会 18 2 2019
Durfee-type inequality for comlete intersection surface singularities Invited International conference
Enokizono Makoto
14 2 2019
Slope inequality for fibered surfaces and Durfee's conjecture for surface singularities Invited
Enokizono Makoto
13 1 2019
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
15 6 2018
Durfee-type inequality for complete intersection surface singularities Invited
Enokizono Makoto
8 6 2018
Slope equality of plane curve fibrations
Enokizono Makoto
2 3 2018
Slope inequality for fibered surfaces and Durfee's conjecture for surface singularities
Enokizono Makoto
23 2 2018
Slope equality of plane curve fibrations and its applications to Durfee's conjecture Invited
Enokizono Makoto
23 12 2017
Slope equality of plane curve fibrations Invited
Enokizono Makoto
16 12 2017
Slope equality of plane curve fibrations Invited International conference
Enokizono Makoto
Algebraic curves, Algebraic surfaces and Applications 9 12 2017
Slope equality of plane curve fibrations Invited
Enokizono Makoto
4 11 2017
2次元超曲面特異点に対するダーフィー型の不等式
榎園 誠
日本数学会2017年度秋季総合分科会 14 9 2017
平面曲線束のスロープ等式
榎園 誠
日本数学会2017年度秋季総合分科会 14 9 2017
Slope equality of plane curve fibrations Invited
Enokizono Makoto
2 9 2017
ある種のファイバー曲面のスロープ上限について
榎園 誠
日本数学会2017年度年会 26 3 2017
ファイバー曲面のスロープ上限について Invited
榎園 誠
数理情報科学談話会 23 12 2016
Upper bounds on the slope of certain fibered surfaces Invited International conference
Enokizono Makoto
Kinosaki algebraic geometry symposium 2016 19 10 2016
Upper bounds on the slope of certain fibered surfaces Invited International conference
Enokizono Makoto
6 9 2016
On the structure of hyperelliptic quasi-bundles Invited International conference
Enokizono Makoto
Branched Coverings, Degenerations, and Related Topics 2016 9 3 2016
有限位数の巡回同型を持つファイバー曲面のスロープについて
榎園 誠
第13回城崎新人セミナー 16 2 2016
Fibers of cyclic covering fibrations of a ruled surface Invited
Enokizono Makoto
10 1 2016
有限位数の巡回同型を持つファイバー曲面のスロープについて Invited
榎園 誠
特異点と多様体の幾何学 24 9 2015
有限巡回同型を持つファイバー曲面のスロープについて
榎園 誠
日本数学会2015年度秋季総合分科会 14 9 2015
線織面の巡回被覆で得られるファイバー曲面の特異ファイバーについて Invited
榎園 誠
第10回代数曲面ワークショップ at 秋葉原 18 7 2015
Slopes of fibered surfaces with a finite cyclic automorphism
Enokizono Makoto
22 5 2015
二重被覆の手法を用いた一般型3次元多様体の地誌学的研究
日本学術振興会 科学研究費助成事業 若手研究
榎園 誠
4 2020 - 3 2024
Grant number：20K14297
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
当該年度は、主に正標数の代数曲面に対する川又-Viehweg型の消滅定理を示し、そのいくつかの応用を与えた。以下に具体的な内容を記す。
代数多様体のコホモロジーに対する消滅定理は、代数幾何学において基本的な道具である。しかしながら正標数においては、標数0で成立する小平消滅定理や川又-Viehweg消滅定理は曲面の場合ですら成立しない。本研究では、正標数の代数曲面とその上の広いクラスの因子に対して、川又-Viehweg消滅定理が成立することを示した。この応用として、随伴線形系に対するReider型の定理やSerranoによる射の拡張定理が、特異点を許した正標数の代数曲面でもある程度成立することを示した。これらの具体的な応用として、任意の体上定義された平面曲線の非特異な有理点をその曲線上の有理関数の情報により特徴づけることに成功した。
完全交叉特異点のDurfee型不等式に関する研究
日本学術振興会 科学研究費助成事業 研究活動スタート支援
榎園 誠
8 2019 - 3 2021
Grant number：19K23407
Grant amount：\2860000 （ Direct Cost: \2200000 、 Indirect Cost：\660000 ）
ファイバー曲面におけるスロープ不等式の研究
日本学術振興会 特別研究員奨励費（DC1）
榎園 誠
