5 citations · 27 across the 30 of their papers we have counts for
4 papers · 1 filter
Hodge-theoretic variants of the Hopf and Singer Conjectures
Donu Arapura, Laurentiu Maxim, Botong Wang
We propose several Hodge theoretic analogues of the conjectures of Hopf and Singer, and prove them in some special cases.
Brylinski-Radon transformation and generic projections
Yongqiang Liu, Laurentiu Maxim, Botong Wang
Using the Brylinski-Radon transformation, we prove that under a generic surjective linear map from C^n to C^m, the pushforward of a perverse sheaf is perverse, modulo shifts of con…
Applications of singularity theory in applied algebraic geometry and algebraic statistics
Laurentiu Maxim, Jose Israel Rodriguez, Botong Wang
We survey recent applications of topology and singularity theory in the study of the algebraic complexity of concrete optimization problems in applied algebraic geometry and algebr…
A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells
Jörg Schürmann, Connor Simpson, Botong Wang
In this paper we prove a new generic vanishing theorem for a complete homogeneous variety with respect to an action of a connected algebraic group. Let be loc…