When are multidegrees positive?

DOI10.1016/j.aim.2020.107382zbMath1453.14019arXiv2005.07808OpenAlexW3080842681MaRDI QIDQ5918175

Jonathan Montaño, Federico Castillo, Binglin Li, Naizhen Zhang, Yairon Cid-Ruiz

Publication date: 8 October 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07808

zbMATH Keywords

positivitymixed multiplicitiesHilbert polynomialpolymatroidsmultidegreesmultiprojective scheme

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (10)

Lazy tournaments and multidegrees of a projective embedding of \(\overline{M}_{0,n}\) ⋮ Double Schubert polynomials do have saturated Newton polytopes ⋮ Flat families of point schemes for connected graded algebras ⋮ Complexity of the usual torus action on Kazhdan-Lusztig varieties ⋮ Multidegrees, prime ideals, and non-standard gradings ⋮ Equations and multidegrees for inverse symmetric matrix pairs ⋮ Multigraded algebras and multigraded linear series ⋮ Lorentzian polynomials ⋮ A numerical toolkit for multiprojective varieties ⋮ Convex bodies and graded families of monomial ideals

Uses Software

• Macaulay2

Cites Work

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