Geometria em Lisboa 18 March 2003, 17h00 Abstract: Given a compact complex algebraic surface the geometric genus $p_g$ of $S$ is the dimension over $\bf C$ of the space of holomorphic(or regular) 2-forms and the {\it iregularity} $q$ of $S$ is the dimension of the space of holomorphic(or regular) 1-forms. The complex projective plane $\bf P^2$ satisfies $p_g=q=0$, but there are surfaces satisfying $p_g=q=0$ which are not bimeromorphically equivalent to $\bf P^2$. Although many examples of such surfaces of general type are known, few general results are known. Time: Tea 4.30 pm, Talk 5.00 pm | back |