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Results tagged with algebraic-curves
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user 3377
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
6
votes
First chern class of fibers of compact Kaehler algebraic variety
Does a nonsingular fibre $\pi^{−1}(z)$ has vanishing first Chern class?
Yes. Denote a regular fiber $Z$; then
$K_M|_ Z= det(N^*Z)\otimes K_Z= K_Z$
by adjunction formula. On the other hand,
$K_M …
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