5 citations · 27 across the 19 of their papers we have counts for
4 papers · 1 filter
Numerical computation of braid groups
Jose Israel Rodriguez, Botong Wang
In this article, we give a numerical algorithm to compute braid groups of curves, hyperplane arrangements, and parameterized system of polynomial equations. Our main result is an a…
Mellin transformation, propagation, and abelian duality spaces
Yongqiang Liu, Laurentiu Maxim, Botong Wang
For arbitrary field coefficients , we show that -perverse sheaves on a complex affine torus satisfy the so-called propagation package, i.e., the generic van…
Generic vanishing for semi-abelian varieties and integral Alexander modules
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We revisit generic vanishing results for perverse sheaves with any field coefficients on a complex semi-abelian variety, and indicate several topological applications. In particula…
Algebraic surfaces with zero-dimensional cohomology support locus
Botong Wang
Using the theory of cohomology support locus, we give a necessary condition for the Albanese map of a smooth projective surface being a submersion. More precisely, assuming the coh…