Journal of the Ramanujan Mathematical Society

Volume 28A, Issue SPL, July – Special Issue 2013 pp. 287–309.

On positivity and semistability of vector bundles in finite and mixed characteristics

Authors: Adrian Langer
Author institution: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland

Summary: We survey results concerning behavior of positivity of line bundles and possible vanishing theorems in positive characteristic. We also try to describe variation of positivity in mixed characteristic. These problems are very much related to behavior of strong semistability of vector bundles, which is another main topic of the paper.

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