Hodge theory of degenerations, (I): consequences of the decomposition theorem

Hodge theory of degenerations, (I): consequences of the decomposition theorem
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DOI:
10.1007/s00029-021-00675-w
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发表时间:
2021-07
期刊:
Selecta Mathematica
影响因子:
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通讯作者:
M. Kerr;R. Laza;M. Saito
M. Kerr;R. Laza;M. Saito
中科院分区:
其他
文献类型:
--
作者:
M. Kerr;R. Laza;M. Saito

文献摘要

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我们使用分解定理推导出克莱门斯-施密德序列的几种推广,将退化的渐近霍奇理论与其奇异纤维的混合霍奇理论联系起来。
We use the Decomposition Theorem to derive several generalizations of the Clemens–Schmid sequence, relating asymptotic Hodge theory of a degeneration to the mixed Hodge theory of its singular fiber(s).