Regularity of structure sheaves of varieties with isolated singularities
Keyword(s):
Let [Formula: see text] be a non-degenerate normal projective variety of codimension [Formula: see text] and degree [Formula: see text] with isolated [Formula: see text]-Gorenstein singularities. We prove that the Castelnuovo–Mumford regularity [Formula: see text], as predicted by the Eisenbud–Goto regularity conjecture. Such a bound fails for general projective varieties by a recent result of McCullough–Peeva. The main techniques are Noma’s classification of non-degenerate projective varieties and Nadel vanishing for multiplier ideals. We also classify the extremal and the next to extremal cases.
2018 ◽
Vol 2020
(23)
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pp. 9011-9074
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Keyword(s):
2001 ◽
Vol 22
(02)
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pp. 255-262
Keyword(s):
2000 ◽
Vol 157
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pp. 129-147
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Keyword(s):
2018 ◽
Vol 2020
(7)
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pp. 1942-1956
1969 ◽
Vol 21
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pp. 1238-1244
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2015 ◽
Vol 160
(2)
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pp. 257-277
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