12 citations · 18 across the 12 of their papers we have counts for
4 papers · 1 filter
On the admissibility of certain local system
Shaheen Nazir, Michele Torielli, Masahiko Yoshinaga
A rank one local system on the complement of a hyperplane arrangement is said to be admissible if it satisfies certain non-positivity condition at every resonant edges. It is known…
On the connectivity of the realization spaces of line arrangements
Shaheen Nazir, Masahiko Yoshinaga
We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of ar…
Admissible local systems for a class of line arrangements
Shaheen Nazir, Zahid Raza
A rank one local system $\LL$ on a smooth complex algebraic variety is admissible roughly speaking if the dimension of the cohomology groups $H^m(M,\LL)$ can be computed direct…
On the intersection of rational transversal subtori
Shaheen Nazir
We show that under a suitable transversality condition, the intersection of two rational subtori in an algebraic torus $(\C^*)^n$ is a finite group which can be determined using th…