Bogomolov–Sommese vanishing theorem

In algebraic geometry, the Bogomolov–Sommese vanishing theorem is a result related to the Kodaira–Itaka dimension. It is named after Fedor Bogomolov and Andrew Sommese. Its statement has differing versions:

This result is equivalent to the statement that:

for every complex projective snc pair and every invertible sheaf with .

Therefore, this theorem is called the vanishing theorem.

See also Bogomolov–Miyaoka–Yau inequality Vanishing theorem (disambiguation)

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Further reading