dc.contributor.author
Barja, M.Á
dc.contributor.author
Stoppino, L.
dc.date.accessioned
2024-05-06T10:50:42Z
dc.date.accessioned
2024-09-19T14:26:16Z
dc.date.available
2024-05-06T10:50:42Z
dc.date.available
2024-09-19T14:26:16Z
dc.date.issued
2024-02-08
dc.identifier.uri
http://hdl.handle.net/2072/537570
dc.description.abstract
We prove f -positivity of OX .1/ for arbitrary dimensional fibrations over curves f : X → B whose general fibre is a complete intersection. In the special case where the family is a global complete intersection, we prove numerical sufficient and necessary conditions for f -positivity of powers of OX (1) and for the relative canonical sheaf. From these results we also derive a Chow instability condition for the fibres of relative complete intersections in the projective bundle of a μ -unstable bundle. © 2024 Real Sociedad Matemática Española.
eng
dc.description.sponsorship
Funding text 1: Funding. The first author is partially supported by the Spanish State Research Agency AEI / 10.13039/501100011033, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (project CEX2020-001084-M) and; Funding text 2: the grant PID2019-103849GB-I00. He is also partially supported by the AGAUR project 2021 SGR 00603 Geometry of Manifolds and Applications, GEOMVAP. The second author is partially supported MIUR PRIN 2017 “Moduli spaces and Lie Theory”, by MIUR, Programma Dipartimenti di Eccellenza (2018-2022)–Dipartimento di Matemat-ica “F. Casorati”, Università degli Studi di Pavia and by INdAM (GNSAGA).; Funding text 3: We wish to thank Yongnam Lee for enlightening conversations, and in particular, for having pointed out to us the results of Ferretti used for Proposition 2.2. Some anonymous referees helped to improve a lot this paper, by pointing out several inaccuracies and some mistakes, that have now been fixed. Moreover, we literally owe to one of them Remark 4.8. We thank them heartily. The first author is partially supported by the Spanish State Research Agency AEI / 10.13039/501100011033, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (project CEX2020-001084-M) and the grant PID2019-103849GB-I00. He is also partially supported by the AGAUR project 2021 SGR 00603 Geometry of Manifolds and Applications, GEOMVAP. The second author is partially supported MIUR PRIN 2017 “Moduli spaces and Lie Theory”, by MIUR, Programma Dipartimenti di Eccellenza (2018-2022)–Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia and by INdAM (GNSAGA).
dc.format.extent
27 p.
cat
dc.publisher
European Mathematical Society Publishing House
cat
dc.relation.ispartof
Revista Matematica Iberoamericana
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
fibred varieties; GIT stability; slope inequality
cat
dc.title
New slope inequalities for families of complete intersections
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.4171/RMI/1461
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
