Results 1 to 10 of about 383 (42)
Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
Forum of Mathematics, Pi, 2021 We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
doaj +1 more source
Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Forum of Mathematics, Sigma, 2021 We prove an explicit inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of simply laced type. By an ‘inverse Chevalley formula’ we mean a formula for the product of an equivariant scalar with a Schubert class, expressed
Takafumi Kouno +3 more
doaj +1 more source
On First Order Congruences of Lines in P 4 with Generically Non-reduced Fundamental Surface [PDF]
, 2004 . In this article we obtain a complete description of the congruences of lines in P 4 oforder one provided that the fundamental surface F is non-reduced (and possibly reducible) at oneof its generic points, and their classification under the hypothesis ...
P. Poi
semanticscholar +1 more source
Catalan Traffic and Integrals on the Grassmannians of Lines [PDF]
, 2007 We prove that certain numbers occurring in a problem of paths enumeration, studied by Niederhausen (Catlan Traffic at the Beach, The Electronic Journal of Combinatorics, 9, (2002), 1--17), are top intersection numbers in the cohomology ring of the ...
Fulton +6 more
core +2 more sources
The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4 [PDF]
, 2007 We prove that the coinvariant ring of the irreducible Coxeter group of type H4 has the strong Lefschetz property.Comment: 9 ...
Numata, Yasuhide, Wachi, Akihito
core +2 more sources
An inequality of Kostka numbers and Galois groups of Schubert problems [PDF]
, 2012 We show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. Using a criterion of Vakil and a special position argument due to Schubert, this follows from a particular inequality among Kostka ...
Brooks, Christopher J. +2 more
core +7 more sources
Positivity of Thom polynomials II: the Lagrange singularities [PDF]
, 2009 We show that Thom polynomials of Lagrangian singularities have nonnegative coefficients in the basis consisting of Q-functions. The main tool in the proof is nonnegativity of cone classes for globally generated bundles.Comment: 16 pages, reduced ...
Mikosz, Malgorzata +2 more
core +1 more source
, 2015 We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map.
De Poi, Pietro, Ilardi, Giovanna
core +2 more sources
Lower bound for ranks of invariant forms [PDF]
, 2014 We give a lower bound for the Waring rank and cactus rank of forms that are invariant under an action of a connected algebraic group. We use this to improve the Ranestad--Schreyer--Shafiei lower bounds for the Waring ranks and cactus ranks of ...
Derksen, Harm, Teitler, Zach
core +3 more sources
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 +15 more
core +6 more sources