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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

1 vote

projection formula for birational map

Since you write $D=f^*H$ I think you are assuming that $|D|$ is base point free and $f$ is a morphism (otherwise you must blow up the base locus to achieve this). In this case we have $D^n=deg(f) H^n$ …
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2 votes
1 answer
173 views

Curves on a Kahler manifold

Let $(X,\omega )$ be a compact Kahler manifold. For any $d>0$ are there only finitely many families of curves $C_i$ such that $C_i\cdot \omega <d$? (More precisely, if $C$ is any curve such that $C\cd …
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