5 citations · 27 across the 15 of their papers we have counts for
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A Morse theoretic approach to non-isolated singularities and applications to optimization
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang
Let be a complex affine variety in , and let be a polynomial function whose restriction to is nonconstant. For $g:\mathbb{C}^N…
Defect of Euclidean distance degree
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang
Two well studied invariants of a complex projective variety are the unit Euclidean distance degree and the generic Euclidean distance degree. These numbers give a measure of the al…
Perverse sheaves on semi-abelian varieties -- a survey of properties and applications
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We survey recent developments in the study of perverse sheaves on semi-abelian varieties. As concrete applications, we discuss various obstructions on the homotopy type of complex…
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…