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math.AG2023
Cones of effective cycles on blow ups of projective spaces along rational curves
Benjamin Gould, Yeqin Liu
In this paper we examine the cones of effective cycles on blow ups of projective spaces along smooth rational curves. We determine explicitly the cones of divisors and 1- and 2-dim…
math.AG2023
Nonexistence of exceptional bundles on with maximal possible ranks
Yeqin Liu
We prove that on there is no exceptional bundle with rank and degree for every . In particular, we find a new obstruction for the exist…