Proves abundance for lc threefold pairs with ν(K_X + B) = 2 over perfect fields of char p > 3: nef implies semiample.
The X-method for klt surfaces in positive characteristic
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abstract
In this paper, we establish a weak version of the Kodaira vanishing theorem for surfaces in positive characteristic. As an application, we obtain some fundamental theorems in the minimal model theory for klt surfaces.
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math.AG 1years
2023 1verdicts
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Abundance for threefolds in positive characteristic when $\nu=2$
Proves abundance for lc threefold pairs with ν(K_X + B) = 2 over perfect fields of char p > 3: nef implies semiample.