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2 votes

A variant on the Fujita invariant

Here is an expansion on my comment. For a field $K$, let $X$ be a normal projective $K$-variety, let $\mathscr{L}$ be a big line bundle on $X$, and let $D$ be a nonzero effective Cartier divisor on $X …
Jackson Morrow's user avatar
6 votes
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437 views

Brauer-Manin obstruction to surfaces of Kodaira dimension 1

Roughly speaking, the Kodaira dimension is an invariant of a variety that corresponds to curvature. One can show that curves of genus $\geq 2$ have Kodaira dimension 1 using Riemann-Roch. In Corollary …