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

0 votes
1 answer
282 views

Group of Hodge classes

I would like to know if there exists a relation between $ \mathrm{Hdg}_k(X \bigcup Y ) $, $ \mathrm{Hdg}_k(X) $, $ \mathrm{Hdg}_k( Y) $ and $ \mathrm{Hdg}_k(X \bigcap Y )$ ( short exact sequence, or …
Bryan261's user avatar
-3 votes
1 answer
1k views

Chow groups and short exact sequence

Let $X$ and $Y$ be subvarieties of a smooth projective variety $M$ such that $M=X \bigcup Y$. Can you explain to me why $ A_k ( X \bigcap Y ) \to A_k ( X ) \oplus A_k ( Y ) \to A_k ( X \bigcup Y ) \to …
Bryan261's user avatar