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2019-01-23  02:51 hrs.

bott's residue formula on orbifolds

Márcio G. Soares
Universidade Federal de Minas Gerais


We present a residual formula for vector fields on compact complex orbifolds. This is analogous to, and inspired by, the well known Bott residue formula for vector fields on complex manifolds. We then derive some applications, related to holomorphic foliations on weighted complex projective spaces and conclude by exploring Hirzebruch surfaces as resolutions of weighted projective planes of a simple type.




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