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BIMSA 代数几何讨论班
BIMSA 代数几何讨论班
Very ample line bundles on weighted projective spaces and weighted blowups
Very ample line bundles on weighted projective spaces and weighted blowups
演讲者
Erik Paemurru
时间
2026年05月14日 15:00 至 16:00
地点
A6-101
线上
Zoom 518 868 7656
(BIMSA)
摘要
On a weighted projective space, ample line bundles are given by O(kd) where k is a positive integer and d is the least common multiple of the weights. On the other hand, determining which line bundles are very ample is a delicate problem. We give various sharp criteria describing the integers k such that O(kd) is very ample. As an example, if the weights are pairwise coprime, then O(d) is always very ample, which implies that general smooth well-formed weighted hypersurfaces are simply connected. We also treat weighted blowups, relative very ampleness, projective normality and generation in degree 1 of Veronese subrings. This is joint work with Stevell Muller, https://arxiv.org/abs/2510.03036