Mathematics – Algebraic Geometry
Scientific paper
2007-05-07
Mathematics
Algebraic Geometry
Version 2: Several details corrected
Scientific paper
This note gives two examples of surfaces with normal crossing singularities.
In the first example the canonical ring is not finitely generated. In the
second, the canonical line bundle is not ample but its pull back to the
normalization is ample. The latter answers in the negative a problem left
unresolved in [EGA,III.2.6.2] and raised again by Viehweg.
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