Lyubeznik numbers of projective schemes

Details Lyubeznik numbers of projective schemes Lyubeznik numbers of projective schemes

2010-01-20

arxiv.org/abs/1001.3662v4

Mathematics

Commutative Algebra

revised version, exposition improved, to appear in Advances in Mathematics

Scientific paper

Let $X$ be a projective scheme over a field $k$ and let $A$ be the local ring
at the vertex of the affine cone of $X$ under some embedding
$X\hookrightarrow\mathbb{P}^n_k$. We prove that, when $\ch(k)>0$, the Lyubeznik
numbers $\lambda_{i,j}(A)$ are intrinsic numerical invariants of $X$, i.e.,
$\lambda_{i,j}(A)$ depend only on $X$, but not on the embedding.

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