Semistability of Frobenius direct image of representations of cotangent bundles

DOI10.1007/S10114-018-8078-6zbMath1423.14167OpenAlexW2889533213MaRDI QIDQ1633814

Ling Guang Li

Publication date: 21 December 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-8078-6

zbMATH Keywords

cotangent bundleFrobenius morphismsemistabilityprincipal bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Unnamed Item
• Direct images of bundles under Frobenius morphism
• Some remarks on the instability flag
• Instability in invariant theory
• Rationality of the instability parabolic and related results
• Instability of truncated symmetric powers of sheaves
• Canonical filtrations and stability of direct images by Frobenius morphisms. II
• Rationality properties of linear algebraic groups. II
• Frobenius morphism and semi-stable bundles
• Extension of structure groups of principal bundles in positive characteristic

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