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Lyubeznik numbers of irreducible projective varieties depend on the embedding

We construct irreducible complex projective varieties such that the Lyubeznik numbers of their affine cones depend on the choices of projective embeddings. The main ingredient is the recent work of Reichelt-Saito-Walther, where the Lyubeznik numbers are reinterpreted using perverse sheaves and reducible projective varieties with dependent Lyubeznik numbers are constructed.

preprint2020arXivOpen access
Botong Wang
math.ACmath.AG
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Botong Wang

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