Tensor product and semi-stability: four variations on a theme

DOI10.4171/NEWS/108/3zbMath1400.20041WikidataQ129736393 ScholiaQ129736393MaRDI QIDQ722113

Marco Maculan

Publication date: 23 July 2018

Published in: European Mathematical Society Newsletter (Search for Journal in Brave)

zbMATH Keywords

Hodge filtrationArakelov geometrydeRham cohomologyunipotent radicalEuclidean latticereductiveslopesemi-stable vector bundlesemi-simpleisochrystal

Mathematics Subject Classification ID

Cites Work

• Concerning the semistability of tensor products in Arakelov geometry
• Tensor product theorem for Hitchin pairs -- an algebraic approach
• Semi simplicity of tensor products in characteristic \(p\)
• On nef and semistable Hermitian lattices, and their behaviour under tensor product
• Some remarks on the instability flag
• Instability in invariant theory
• Diophantine approximations on projective spaces
• On the semisimplicity of tensor products of representations of groups
• Tensor products in \(p\)-adic Hodge theory
• Stable and unitary vector bundles on a compact Riemann surface
• Frobenius and the Hodge filtration (estimates)
• Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers
• Maximal slope of tensor product of Hermitian vector bundles
• Groupes $p$-divisibles et modules filtrés : le cas peu ramifié
• On a Theorem of Ax
• Frobenius and the Hodge filtration
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