Harder-Narasimhan filtrations which are not split by the Frobenius maps

DOI10.1007/s12044-013-0134-7zbMath1279.14054arXiv1204.1911OpenAlexW1996381592MaRDI QIDQ369300

Saurav Bhaumik, Vikram B. Mehta

Publication date: 24 September 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1911

zbMATH Keywords

Frobenius splittingBorel-Weil-Bott theoremstrong Harder-Narasimhan Filtrations

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• Construction of a Frobenius nonsplit Harder-Narasimhan filtration
• Frobenius splitting and cohomology vanishing for Schubert varieties
• A short proof of the Kempf vanishing theorem
• On the ample vector bundles over curves in positive characteristic
• Semistable principal \(G\)-bundles in positive characteristic