Results 71 to 80 of about 197,691 (182)

Combinatorial 𝐵_{𝑛}-analogues of Schubert polynomials [PDF]

Transactions of the American Mathematical Society, 1996
Combinatorial B n B_{n}
Fomin, Sergey, Kirillov, Anatol N.
openaire   +2 more sources

The Role of Magmatic Styles in Planetary Thermal Evolution Models

Journal of Geophysical Research: Planets, Volume 131, Issue 8, August 2026.
Abstract Previous studies that investigated the effects of magmatism on the interior dynamics, in particular for Earth‐sized planets, suggest that magmatism leads to more efficient mantle cooling. However, the extent to which different magmatic styles influence the thermal evolution of planets, and in particular smaller rocky bodies, has not yet been ...
C. Herrera, A.‐C. Plesa, J. Maia, D. Breuer   +3 more
wiley   +1 more source

Closing the Equity–Revenue Gap: Pricing Pathways for Unmetered Urban Water Utilities in the Global South

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Urban water utilities across South Asia grapple with persistent financial shortfalls and significant inequities in water affordability, with limited tools for reform in largely unmetered systems. In this study, we evaluate non‐volumetric pricing strategies and service reforms capable of improving utility revenues while reducing the ...
H. F. Khan, J. Sears
wiley   +1 more source

Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley   +1 more source

A combinatorial construction of the Schubert polynomials

Journal of Combinatorial Theory, Series A, 1992
Let \(w=(w_ 1,w_ 2,\dots,w_ n)\) be a permutation in the symmetric group \(S_ n\). An explicit combinatorial construction of the Schubert polynomial \({\mathcal S}_ w\) is given as a sum of weights \(x^ D\) of diagrams \(D\) (finite nonempty sets of lattice points \((i,j)\) in the positive quadrant), where the sum is over the set \(\Omega(w)\) of ...
openaire   +2 more sources

Quantum double Schubert polynomials represent Schubert classes [PDF]

Proceedings of the American Mathematical Society, 2013
The quantum double Schubert polynomials studied by Kirillov and Maeno, and by Ciocan-Fontanine and Fulton, are shown to represent Schubert classes in Kim’s presentation of the equivariant quantum cohomology of the flag variety. Parabolic analogues of quantum double Schubert polynomials are introduced and shown to represent Schubert classes in the ...
Lam, Thomas, Shimozono, Mark
openaire   +2 more sources

Recognising flag varieties and reductive groups

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski, Nicholas Shepherd‐Barron   +1 more
wiley   +1 more source

Double Schubert polynomials for the classical groups [PDF]

, 2011
For each infinite series of the classical Lie groups of type B, C or D, we construct a family of polynomials parametrized by the elements of the corresponding Weyl group of infinite rank.
Hiroshi Naruse, Ikeda, Takeshi, Mihalcea, Leonardo C., Leonardo C. Mihalcea, Takeshi Ikeda, Naruse, Hiroshi   +5 more
core   +1 more source

A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials

Forum of Mathematics, Sigma
In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki   +2 more
doaj   +1 more source

Skew shapes, Ehrhart positivity, and beyond

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni, Alejandro H. Morales, Greta Panova   +2 more
wiley   +1 more source