随伴形式とspherical多様体の超曲面のトレリ型問題

博士卢卡Rizzi工作的超曲面在特殊子类的球形品种。特别是博士Rizzi证明了明确的等价性之间的理论梅西产品和理论的无穷小Torelli问题的光滑超曲面的理性齐次品种与皮卡德数1。在同一文件博士Rizzi还能够证明一个无穷小Torelli定理光滑超曲面的日志parallelizable品种。博士Rizzi还致力于半稳定纤维的投影品种和研究的monodromy相关的地方系统的相对微分形式。里兹博士对这种单值性的有限性给出了条件。这是有关半丰裕问题和一个重要的猜想藤田。

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.