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For questions related to divisors in the sense of algebraic geometry (Cartier divisors, Weil divisors and so on). For question on divisors in the number theoretic sense please use the tag divisors-multiples.

7 votes

Which 'well-known' algebraic geometric results do not hold in characteristic 2?

In characteristic 2 and 3 there are quasi-elliptic fibrations, i.e., a smooth projective surface S together with a morphism to a smooth projective curve C such that each fiber is a cuspidal rational …
Remke Kloosterman's user avatar
0 votes

Higher cohomology of sheaves on a projective space

I expect that the answer depends on $d$, and for $d$ sufficiently small, the answer should be no. Take $S\subset \mathbb{P}^2$ to be the complete intersection of two forms $f,g$ of degree $a$, with …
Remke Kloosterman's user avatar