Algebraic geometry II - schemes and sheaves

MATH-510

Content of lecture_26.11.25

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1) Cartier divisors vs locally principle Weil divisors.

2) Cartier and Weil divisor corresponding to an invertible sheaf.

3) For locally factorial schemes the Cartier divisor class group, Weil divisor class group and the Picard group are isomorphic.

4) Cartier and Weil divisor corresponding to rational section of an invertible sheaf. The induced correspondence.

5) Morphism to projective spaces given by sections of invertible sheaves, the correspondence. Example.