Results 11 to 20 of about 391 (50)

Decomposition of homogeneous polynomials with low rank [PDF]

, 2010
Let $F$ be a homogeneous polynomial of degree $d$ in $m+1$ variables defined over an algebraically closed field of characteristic zero and suppose that $F$ belongs to the $s$-th secant varieties of the standard Veronese variety $X_{m,d}\subset \mathbb{P}^
A. Bernardi, Alessandra Bernardi, C. Ciliberto, C. Ciliberto, Edoardo Ballico, G. Comas, J. Alexander, J. Brachat, J.M. Landsberg, K. Ranestad, L. Chiantini, L.-H. Lim, M. Mella, M. Mella, M.C. Brambilla, P. Comon   +15 more
core   +6 more sources

Infinite flags and Schubert polynomials

Forum of Mathematics, Sigma
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
doaj   +1 more source

Bondi Accretion in the Spherically Symmetric Johannsen-Psaltis Spacetime

, 2019
The Johannsen-Psaltis spacetime explicitly violates the no hair theorem. It describes rotating black holes with scalar hair in the form of parametric deviations from the Kerr metric.
John, Anslyn, Stevens, Chris
core   +1 more source

The Degree of the Tangent and Secant Variety to a Projective Surface [PDF]

, 2019
In this paper we present a way of computing the degree of the secant (resp., tangent) variety of a smooth projective surface, under the assumption that the divisor giving the embedding in the projective space is $3$-very ample.
Cattaneo, Andrea
core   +3 more sources

An inverse Grassmannian Littlewood–Richardson rule and extensions

Forum of Mathematics, Sigma
Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
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

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

Some examples of forms of high rank

, 2015
We describe some forms with greater Waring rank than previous examples. In $3$ variables we give forms of odd degree with strictly greater rank than the ranks of monomials, the previously highest known rank.
Buczyński, Jarosław, Teitler, Zach
core   +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

Cohomological consequences of the pattern map [PDF]

, 2014
Billey and Braden defined maps on flag manifolds that are the geometric counterpart of permutation patterns. A section of their pattern map is an embedding of the flag manifold of a Levi subgroup into the full flag manifold.
Adeyemo, Praise, Sottile, Frank
core