学术报告

题目：The stability of vector bundles under Frobenius morphism over surface

报告人: 刘丛军 中国科学院数学与系统科学研究院(博士)

摘要：Let X be a smooth projective surface over an algebraic closed field k with positive characteristic p, H an ample divisor on X. Suppose that the cotangent bundle $/Omega_X^1$ is semistable of positive slope with respect to H. We will give a restriction on p such that for any stable bundle W, the direct image F_*(W) under Frobenius morphism is stable, where F:X->X is the absolute Frobenius morphism on X. This is a joint work with Ming-shuo Zhou.

时间: 12月17日下午14:45~15:45；

地点: 致远楼102室

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