23 citations · 183 across the 65 of their papers we have counts for
71 papers
The parity module of a matroid
Tom Braden, June Huh, Jacob P. Matherne +2
We introduce the parity module of a matroid with coefficients in a field . When has characteristic zero, we show that the parity module of a matroid is iso…
The topology of Kähler manifolds and 1-forms without zeros
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We study how the topology and geometry of a compact Kähler manifold relate to the zeros of its one-forms. We determine all implications among several closely related conditions. In…
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.…