Mathematical Research Letters

Volume 17 (2010)

Number 5

A note on restriction theorems for semistable sheaves

Pages: 823 – 831



Adrian Langer


We prove a new restriction theorem for semistable sheaves on varieties in all characteristics strengthening previous results. We also prove restriction theorem for strong semistability for varieties with some non-negativity constrains on the cotangent bundle (e.g., most of Fano and Calabi-Yau varieties).

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