Connectedness and Lyubeznik Numbers
2018 ◽
Vol 2019
(13)
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pp. 4233-4259
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Keyword(s):
Abstract We investigate the relationship between connectedness properties of spectra and the Lyubeznik numbers, numerical invariants defined via local cohomology. We prove that for complete equidimensional local rings, the Lyubeznik numbers characterize when connectedness dimension equals 1. More generally, these invariants determine a bound on connectedness dimension. Additionally, our methods imply that the Lyubeznik number $\lambda _{1,2}(A)$ of the local ring $A$ at the vertex of the affine cone over a projective variety is independent of the choice of its embedding into projective space.
1997 ◽
Vol 147
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pp. 179-191
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Keyword(s):
2010 ◽
Vol 199
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pp. 95-105
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Keyword(s):
1963 ◽
Vol 22
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pp. 219-227
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Keyword(s):
2019 ◽
Vol 19
(02)
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pp. 2050033
2010 ◽
Vol 199
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pp. 95-105
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Keyword(s):
2002 ◽
Vol 167
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pp. 217-233
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2018 ◽
Vol 11
(02)
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pp. 1850019
2018 ◽
Vol 2020
(23)
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pp. 9011-9074
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Keyword(s):
1969 ◽
Vol 21
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pp. 106-135
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