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Riemann Roch space and motivating cohomology
Автор: DanielChanMaths
Загружено: 2023-01-31
Просмотров: 2135
Описание: The Riemann-Roch space is an extremely useful tool in algebraic geometry as it is used to generate morphisms. In this video, we introduce it via global sections of a sheaf and see how it is useful in a simple example giving a criterion for a smooth curve to be isomorphic to the projective line. We next consider the problem of lifting sections, a subtlety in the study of the Riemann-Roch space, that crops up when trying to construct morphisms using it. Addressing this problem requires cohomology, the theme of this playlist.
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