5 citations · 27 across the 33 of their papers we have counts for
7 papers · 1 filter
Zeros of one-forms and the topology of algebraic maps
Stefan Schreieder, Botong Wang
We construct a smooth complex projective variety whose Albanese morphism is a homotopy fiber bundle but not a submersion. The same variety fibers smoothly over the circle, although…
Invisible singularities in complex algebraic geometry
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We construct morphisms between smooth complex projective varieties that have singular fibers, but look topologically smooth. We use this to give negative answers to the following f…
Topology and Euler characteristics of tropical varieties
Scott Hiatt, Connor Simpson, Botong Wang +1
We study Euler characteristics of tropical subvarieties of tropical abelian varieties. We prove that every H-regular subvariety, locally modeled on tropicalizations of sufficiently…
Matroid correspondence
Colin Crowley, Changxin Ding, Haoxi Hu +7
Motivated by algebraic correspondences and linear operators associated with volume and Lorentzian polynomials, we introduce matroid correspondences and their polymatroid analogues.…
Euclidean distance degree defect of singular projective varieties
Laurenţiu G. Maxim, Jose Israel Rodriguez, Botong Wang
The unit Euclidean distance degree and the generic Euclidean distance degree are two well-studied invariants of projective varieties. These quantities measure the algebraic complex…
Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
Mateusz Michałek, Leonid Monin, Botong Wang
Let be a convex polytope and let be a linear functional which is nonconstant on every edge of . The induced acyclic orientation determines positive…