User user61125 - MathOverflow

user61125

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Scholar

Oct 31, 2014 at 17:58

comment

Canonical divisor for conic bundles

Just to comment: for a general nice base curve of genus $g$, the above self-intersection should be $K_X^2 = 8(1-g) - \text{no of sing fibers}$.

Oct 31, 2014 at 17:57

accepted

Canonical divisor for conic bundles

Oct 31, 2014 at 17:56

awarded

Student

Oct 31, 2014 at 9:43

comment

Canonical divisor for conic bundles

The base is $\mathbb{P}^1$. By smooth I mean $X$ is smooth.

Oct 31, 2014 at 9:18

asked

Canonical divisor for conic bundles

Oct 31, 2014 at 6:33

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