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

Matt Kerr; Radu Laza; Morihiko Saito

doi:10.1007/s00029-021-00675-w

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

Matt Kerr
, Radu Laza
, Morihiko Saito

Mathematics

Washington University St. Louis
Kyoto University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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).

Original language	English
Article number	71
Journal	Selecta Mathematica, New Series
Volume	27
Issue number	4
DOIs	https://doi.org/10.1007/s00029-021-00675-w
State	Published - Sep 2021

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abstract = "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).",

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T2 - consequences of the decomposition theorem

AU - Kerr, Matt

AU - Laza, Radu

AU - Saito, Morihiko

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N2 - 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).

AB - 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).

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JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 4

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ER -

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

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