A note on a Griffiths-type ring for complete intersections in Grassmannians

We calculate a Griffiths-type ring for smooth complete intersections in Grassmannians. This is the analogue of the classical Jacobian ring for complete intersections in projective space and allows us to explicitly compute their Hodge groups.

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 299; no. 3-4; pp. 1651 - 1672
Main Authors Fatighenti, Enrico, Mongardi, Giovanni
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021
Springer Nature B.V
Subjects
Intersections
Mathematics
Mathematics and Statistics
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Summary:We calculate a Griffiths-type ring for smooth complete intersections in Grassmannians. This is the analogue of the classical Jacobian ring for complete intersections in projective space and allows us to explicitly compute their Hodge groups.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-021-02733-7