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Presented By: Student Algebraic Geometry Seminar - Department of Mathematics

Generic Torelli Theorem for degree d smooth Hypersurfaces

Demir Eken

The Generic Torelli theorem concerns the injectivity of the period map for non-singular hypersurfaces of degree $d$ in $\mathbb{P}^{n+1}$. This theorem is equivalent to determining whether an isomorphism of primitive cohomologies induces an isomorphism on the hypersurfaces. In this presentation, I will explore the historical development of this theorem as studied by Griffiths, Donagi, and Voisin, and provide an overview of its current state.

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