Results 31 to 40 of about 80 (80)

Integral models of Shimura varieties with parahoric level structure, II

Forum of Mathematics, Pi
We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are étale locally isomorphic to corresponding local models.
Mark Kisin, Georgios Pappas, Rong Zhou
doaj   +1 more source

Poset polytopes and pipe dreams: types C and B

The first part of this paper concerns type C. We present new explicitly defined families of algebro-combinatorial structures of three kinds: combinatorial bases in representations, Newton-Okounkov bodies of flag varieties and toric degenerations of flag ...
Makhlin, Igor, Makedonskyi, Ievgen
core   +1 more source

A categorical action of the shifted $0$ -affine algebra

Forum of Mathematics, Sigma
We introduce a new algebra $\mathcal {U}=\dot {\mathrm {\mathbf{U}}}_{0,N}(L\mathfrak {sl}_n)$ called the shifted $0$ -affine algebra, which emerges naturally from studying coherent sheaves on n-step partial flag varieties through natural ...
You-Hung Hsu
doaj   +1 more source

Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties [PDF]

Épijournal de Géométrie Algébrique
We generalize techniques by Coskun, Riedl, and Yeong, and obtain an almost optimal bound on the degree for the algebraic hyperbolicity of very general hypersurfaces in rational homogeneous varieties.
Lucas Mioranci
doaj   +1 more source

Geometric fuzzification

, 2004
unavailable at this time... Mathematics Subject Classification (2000): 03E72, 52A01, 54E35, 53C70, 14M15 Quaestiones Mathematicae 25 (2002), 147 ...
Lubczonok, G, Remsing, C.C
core  

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

Quantum K theory of Grassmannians, Wilson line operators and Schur bundles

Forum of Mathematics, Sigma
We prove a ‘Whitney’ presentation, and a ‘Coulomb branch’ presentation, for the torus equivariant quantum K theory of the Grassmann manifold $\mathrm {Gr}(k;n)$ , inspired from physics, and stated in an earlier paper.
Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zou   +3 more
doaj   +1 more source

Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Forum of Mathematics, Sigma
Let ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ .
Marc Besson, Jiuzu Hong
doaj   +1 more source

Singularities of Steinberg deformation rings

Forum of Mathematics, Sigma
Let l and p be distinct primes, let F be a local field with residue field of characteristic p, and let X $\mathfrak {X}$ German upper X be the irreducible component of the moduli space of Langlands parameters for GL3 $GL_3$ upper G upper L 3 ...
Daniel Funck, Jack Shotton
doaj   +1 more source

Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz

Forum of Mathematics, Sigma
Schubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
doaj   +1 more source