Matroid Theory for Algebraic Geometers

DOI10.1007/978-3-319-30945-3_12zbMath1353.05034arXiv1409.3503OpenAlexW193644892MaRDI QIDQ2833351

Eric Katz

Publication date: 18 November 2016

Published in: Nonarchimedean and Tropical Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3503

zbMATH Keywords

toric varietiesintersection theorymatroid theory

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of representation theory (05E10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Combinatorial aspects of matroids and geometric lattices (05B35) Classical problems, Schubert calculus (14N15)

Related Items

The moduli space of matroids, Lifting matroid divisors on tropical curves, Gromov-Witten theory and invariants of matroids, Tautological classes of matroids, Hodge theory in combinatorics, Essence of independence: Hodge theory of matroids since June Huh, Tropical Fano schemes, Chow rings of heavy/light Hassett spaces via tropical geometry, Matroid connectivity and singularities of configuration hypersurfaces, Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory), A Grassmann algebra for matroids, Classes of matroids closed under minors and principal extensions, Initial degenerations of Grassmannians, Divisors on matroids and their volumes, The foundations of $(2n,k)$-manifolds, On the enumeration of a certain type of hyperplane arrangements, Stringy invariants and toric Artin stacks

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