| 研究課題/領域番号 |
19F19780
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| 研究機関 | 東京大学 |
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研究代表者 |
小木曽 啓示 東京大学, 大学院数理科学研究科, 教授 (40224133)
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| 研究分担者 |
RIZZI LUCA 東京大学, 数理(科)学研究科(研究院), 外国人特別研究員
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| 研究期間 (年度) |
2019-11-08 – 2022-03-31
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| キーワード | Torelli problem / semi-stable fibration / local system / Fujita decomposition |
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| 研究実績の概要 |
Doctor Luca Rizzi has worked on hypersurfaces in special subclasses of spherical varieties. In particular Doctor Rizzi has proved the explicit equivalence between the theory of Massey products and the theory of the infinitesimal Torelli problem for smooth hypersurfaces in rational homogeneous varieties with Picard number one. In the same paper Doctor Rizzi has also been able to prove an infinitesimal Torelli theorem for smooth hypersurfaces in log-parallelizable varieties.
Doctor Rizzi has also worked on semistable fibrations of projective varieties and studied the monodromy associated to local systems of relative differential forms. Doctor Rizzi has given conditions on the finiteness of this monodromy. This is related to semi-ampleness problems and to an important conjecture by Fujita.
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| 現在までの達成度 (段落) |
令和3年度が最終年度であるため、記入しない。
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| 今後の研究の推進方策 |
令和3年度が最終年度であるため、記入しない。
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