Data di Pubblicazione:
2016
Citazione:
Deformations of nodal surfaces / Y. Zhao ; tutor: P. Stevenhagen, R.van Luijk (Universiteit Leiden), B. Van Geemen ; coordinator: V. Mastropietro. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2016 Dec 01. 29. ciclo, Anno Accademico 2016. [10.13130/zhao-yan_phd2016-12-01].
Abstract:
In this thesis, we studied the Hodge theory and deformation theory of nodal surfaces. We showed that nodal surfaces in the projective 3-space satisfy the infinitesimal Torelli property. We considered families of examples of even nodal surfaces, that is, those endowed with a double cover branched on the nodes. We gave a new geometrical construction of even 56-nodal sextic surfaces, while we proved, using existing constructions, that the sub-Hodge structure of type (1,26,1) on the double cover S of any even 40-nodal sextic surface cannot be simple. We also demonstrated ways to compute sheaves of differential forms on singular varieties using Saito's theory of mixed Hodge modules.
Tipologia IRIS:
Tesi di dottorato
Keywords:
Hodge theory ; infinitesimal Torelli theorem ; even nodal surfaces ; mixed Hodge modules
Elenco autori:
Y. Zhao
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