Algebraic geometry II - schemes and sheaves

MATH-510

Content of 19.12.25 lecture

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1) Serre duality on projective spaces.

2) Notion of a dualizing sheaf, cohen-macaulay schemes.

3) Serre duality in general (only statement).

4) Criterion for closed embedding.

5) Embedding curve in projective three spaces (many details skipped, not part of the exam syllabus).