Seminario di Geometria

Giovedì 12 Ottobre alle ore 14:15, Maria Gioia Cifani (Università degli Studi Roma Tre) terrà il seminario di Geometria dal titolo "Algebraic cycles (non) generated by their periods".

Abstract: Consider X a smooth algebraic projective hypersurface of dimension 2n and Y a subvariety of X of codimension n. Movasati and Sertöz pose interesting questions on whether the low degree equations vanishing on Y can be recovered from the generators of the Artinian Gorenstein ideal associated to its Hodge class. The question is still open in general: for instance, a complete intersection always has this property, but there are also counterexamples (e.g. a smooth rational quartic on a surface of degree 4 in the projective space cannot be reconstructed by the cubics in the ideal associated to the Hodge cycle). I will present the general construction and partially answer the problem in any dimension.

Il seminario si svolgerà in presenza nell'aula M1. Per ulteriori informazioni, e per il link Teams per seguire il seminario a distanza, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.