Results 31 to 40 of about 63 (55)
Polynomials with Lorentzian Signature, and Computing Permanents via Hyperbolic Programming
, 2022 We study the class of polynomials whose Hessians evaluated at any point of a closed convex cone have Lorentzian signature. This class is a generalization to the remarkable class of Lorentzian polynomials.
Dey, Papri
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Super Catalan Numbers and Fourier Summation over Finite Fields
, 2022 We study polynomial summation over unit circles over finite fields of odd characteristic, obtaining a purely algebraic integration theory without recourse to infinite procedures. There are nonetheless strong parallels to classical integration theory over
Limanta, Kevin, Wildberger, Norman J.
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Torus actions on affine varieties over characteristic zero fields
, 2022 Using Galois descent tools, we extend the Altmann-Hausen presentation of normal affine algebraic varieties endowed with an effective torus action over an algebraically closed field of characteristic zero to the case where the ground field is an arbitrary
Gillard, Pierre-Alexandre
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The positive orthogonal grassmannian [PDF]
The Plücker positive region OGr+(k,2k) of the orthogonal Grassmannian emerged as the positive geometry behind the ABJM scattering amplitudes. In this paper we initiate the study of the positive orthogonal Grassmannian OGr+(k,n) for general values of k ...
El Maazouz, Y., Mandelshtam, Y.
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, 2021 In this paper, we study linear spaces of matrices defined over discretely valued fields and discuss their dimension and minimal rank drops over the associated residue fields.
Hahn, Marvin Anas +3 more
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Pieri-type multiplication formula for quantum Grothendieck polynomials
, 2023 The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno.
Naito, Satoshi, Sagaki, Daisuke
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Geproci sets and the combinatorics of skew lines in $\mathbb P^3$
, 2023 Geproci sets of points in $\mathbb P^3$ are sets whose general projections to $\mathbb P^2$ are complete intersections. The first nontrivial geproci sets came from representation theory, as projectivizations of the root systems $D_4$ and $F_4$.
Chiantini, Luca +6 more
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On combinatorial invariance of parabolic Kazhdan-Lusztig polynomials
We show that the Combinatorial Invariance Conjecture for Kazhdan-Lusztig polynomials due to Lusztig and to Dyer, its parabolic analog due to Marietti, and a refined parabolic version that we introduce, are equivalent.
Barkley, Grant T., Gaetz, Christian
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Bumpless pipe dreams encode Gr\"obner geometry of Schubert polynomials
, 2023 In their study of infinite flag varieties, Lam, Lee, and Shimozono (2021) introduced bumpless pipe dreams in a new combinatorial formula for double Schubert polynomials.
Klein, Patricia, Weigandt, Anna
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Double-dimer condensation and the PT-DT correspondence
, 2022 We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas theory and Pandharipande-Thomas ...
Jenne, Helen +2 more
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