A note on restriction theorems for semistable sheaves

Mathematics – Algebraic Geometry

Scientific paper

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12 pages, to appear in Mathematical Research Letters, appendix contained serious error pointed out by Trivedi and it is remove

Scientific paper

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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