Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - JSTOR
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …

Hodge Theory for Combinatorial Geometries

K Adiprasito, J Huh, E Katz - arXiv preprint arXiv:1511.02888, 2015 - arxiv.org
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …

[PDF][PDF] Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - math.ias.edu
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …

[PDF][PDF] HODGE THEORY FOR COMBINATORIAL GEOMETRIES

K ADIPRASITO, J HUH, E KATZ - math.uwaterloo.ca
The combinatorial theory of matroids starts with Whitney [Whi35], who introduced matroids
as models for independence in vector spaces and graphs. By definition, a matroid M is given …

[PDF][PDF] Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - math.princeton.edu
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …

Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - projecteuclid.org
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …

[PDF][PDF] HODGE THEORY FOR COMBINATORIAL GEOMETRIES

K ADIPRASITO, J HUH, E KATZ - arXiv preprint arXiv:1511.02888, 2015 - Citeseer
The combinatorial theory of matroids starts with Whitney [Whi35], who introduced matroids
as models for independence in vector spaces and graphs. By definition, a matroid M is given …

[PDF][PDF] HODGE THEORY FOR COMBINATORIAL GEOMETRIES

K ADIPRASITO, J HUH, E KATZ - math.uwaterloo.ca
The combinatorial theory of matroids starts with Whitney [Whi35], who introduced matroids
as models for independence in vector spaces and graphs. By definition, a matroid M is given …

[引用][C] Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - cir.nii.ac.jp
Hodge theory for combinatorial geometries | CiNii Research CiNii 国立情報学研究所 学術情報
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Hodge theory for combinatorial geometries

K Adiprasito, J Huh, E Katz - Annals of Mathematics, 2018 - JSTOR
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative
ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a …