Families of curves with Higgs field of arbitrarily large kernel

Originalpublikation

González-Alonso, V.; Torelli, S.: Families of curves with Higgs field of arbitrarily large kernel. In: Bulletin of the London Mathematical Society 53 (2021), Nr. 2, S. 493-506. DOI: https://doi.org/10.1112/blms.12437

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Zum Zitieren der Version im Repositorium verwenden Sie bitte diesen DOI: https://doi.org/10.15488/15006

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Zusammenfassung:
In this article, we consider the flat bundle (Formula presented.) and the kernel (Formula presented.) of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how strict the inclusion (Formula presented.) can be in the geometric case. More precisely, for any smooth projective curve (Formula presented.) of genus (Formula presented.) and any (Formula presented.), we construct non-isotrivial deformations of (Formula presented.) over a quasi-projective base such that (Formula presented.) and (Formula presented.).
Lizenzbestimmungen: CC BY-NC-ND 4.0 Unported - https://creativecommons.org/licenses/by-nc-nd/4.0
Publikationstyp: Article
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2021
Schlagwörter (englisch): unitary summand, fujita, deformations, sheaf
Fachliche Zuordnung (DDC): 510 | Mathematik

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