Botong Wang

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20242026

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math.AG2025

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.AG2025

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r

Ya Deng, Botong Wang

In 1995, KollÃ¡r conjectured that a smooth complex projective $n$ -fold $X$ with generically large fundamental group has Euler characteristic $I ¨ (X, K_{X}) \geq 0$ . In this paper, we p…

Combinatorial flats and Schubert varieties of subspace arrangements

L2-vanishing theorem and a conjecture of KollÃ¡r

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r