Decomposition of Frobenius pushforwards of line bundles on wonderful compactifications
Name
Decomposition of Frobenius pushforwards of line bundles on wonderful compactifications.pdf
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2.32 MB
Format
Adobe PDF
Checksum (MD5)
ac3e49fecd7f95749dfa827b4bb69205
Author(s)
Cai, Merrick
Krylov, Vasily
Date Issued
January 28, 2025
Journal
Communications in Algebra
Publisher
Taylor & Francis
Citation
Cai, M., & Krylov, V. (2025). Decomposition of Frobenius pushforwards of line bundles on wonderful compactifications. Communications in Algebra, 53(7), 2846–2872.
Version
Final published version
Abstract
De Concini and Procesi introduced varieties known as wonderful compactifications, which are smooth projective compactifications of semisimple adjoint groups G. We study the Frobenius pushforwards of line bundles on the wonderful compactifications, and in particular we decompose them into a direct sum of vector subbundles and explicitly describe the ranks. We are especially interested in when these subbundles are line bundles, and in the case of 𝐺=𝖯𝖲𝖫𝑛, we offer lower bounds on the multiplicities (as direct summands) for these line bundles.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial
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DOI of Published Version
https://doi.org/10.1080/00927872.2025.2451096
