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Hodge theory of degenerations, (I): consequences of the decomposition theorem
Selecta Mathematica ( IF 1.2 ) Pub Date : 2021-07-22 , DOI: 10.1007/s00029-021-00675-w Matt Kerr 1 , Radu Laza 2 , Morihiko Saito 3
中文翻译:
Hodge 退化理论,(I):分解定理的结果
更新日期:2021-07-23
Selecta Mathematica ( IF 1.2 ) Pub Date : 2021-07-22 , DOI: 10.1007/s00029-021-00675-w Matt Kerr 1 , Radu Laza 2 , Morihiko Saito 3
Affiliation
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).
中文翻译:
Hodge 退化理论,(I):分解定理的结果
我们使用分解定理推导出 Clemens-Schmid 序列的几个推广,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。