Botong Wang

activity

20122026

most citedGeneric vanishing for semi-abelian varieties and integral Alexander modules

5 citations · 27 across the 30 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.AG2024

Deformation Openness of Big Fundamental Groups and Applications

Ya Deng, Chikako Mese, Botong Wang

In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…

math.AG2024

Combinatorial flats and Schubert varieties of subspace arrangements

Colin Crowley, Connor Simpson, Botong Wang

The lattice of flats $L_{M}$ of a matroid $M$ is combinatorially well-behaved and, when $M$ is realizable, admits a geometric model in the form of a "Schubert variety of hyp…

math.AG2024

$L^{2}$ -vanishing theorem and a conjecture of Kollár

Ya Deng, Botong Wang

In 1995, Kollár conjectured that a smooth complex projective $n$ -fold $X$ with generically large fundamental group has Euler characteristic $χ (X, K_{X}) \geq 0$ . In this paper, we pro…

math.AG2024

Linear Chern-Hopf-Thurston conjecture

Ya Deng, Botong Wang

If $X$ is a closed $2 n$ -dimensional aspherical manifold, i.e., the universal cover of $X$ is contractible, then the Chern-Hopf-Thurston conjecture predicts that $(- 1)^{n} χ (X) \geq 0$ .…

Deformation Openness of Big Fundamental Groups and Applications

Combinatorial flats and Schubert varieties of subspace arrangements

L2-vanishing theorem and a conjecture of Kollár

Linear Chern-Hopf-Thurston conjecture

$L^{2}$ -vanishing theorem and a conjecture of Kollár