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СЕМИНАРЫ |
Семинар Лаборатории алгебраической геометрии и ее приложений
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Algebraic hyperbolicity of surfaces of general type T. Jordan Courant Institute of Mathematical Sciences |
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Аннотация: There is a conjecture that complex surfaces of general type have only finitely many rational and elliptic curves, a property called algebraic hyperbolicity. (This is one sub-case of more general hyperbolicity conjectures of Green-Griffiths and Lang.) Certain cases of this conjecture have been proven, usually utilizing the presence of differential 1-forms (the Bloch theorem) or higher-degree symmetric differentials, as in Bogomolov's result for surfaces satisfying the Chern number inequality Unfortunately, the simplest of the surfaces of general type, projective surfaces in |