Description: |
In this talk it will be explained how properties of spaces of hermitian matrices can be used to obtain lower bounds for the h^1,1 Hodge number of irregular algebraic surfaces and in particular to show the non existence of surfaces with certain invariants. After a brief explanation of the concepts involved and a quick survey on some related linear algebra results, recent research together with A. Causin and G. P. Pirola will be discussed.
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