Results 31 to 40 of about 74 (74)

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

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

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 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

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

The Riccati Flow and Singularities of Schubert Varieties

, 1993
: Let Gr(m; n) be the Grassmannian of m\Gammadimensional subspaces of an n\Gammadim- ensional k\Gammavector space, with k = R or C. Fix an n \Theta n matrix R with coefficients in k: The Riccati Flow \Phi on Gr(m; n) is the action of a one-parameter ...
James S. Wolper
core  

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

Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C

Forum of Mathematics, Sigma
We give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
doaj   +1 more source

On some invariants of cubic fourfolds. [PDF]

Eur J Math, 2023
Gounelas F, Kouvidakis A.
europepmc   +1 more source