Results 131 to 140 of about 12,587 (151)
Some of the next articles are maybe not open access.
2010
An enumerative problem asks the following type of question; how many figures (lines, planes, conies, cubics, etc.) meet transversely (or are tangent to) a certain number of other figures in general position? The last century saw the development of a calculus for solving this problem and a large number of examples were worked out by Schubert, after whom
openaire +1 more source
An enumerative problem asks the following type of question; how many figures (lines, planes, conies, cubics, etc.) meet transversely (or are tangent to) a certain number of other figures in general position? The last century saw the development of a calculus for solving this problem and a large number of examples were worked out by Schubert, after whom
openaire +1 more source
2014
This chapter discusses how k-Schur and dual k-Schur functions can be defined for all types. This is done via some combinatorial problems that come from the geometry of a very large family of generalized flag varieties. They apply to the expansion of products of Schur functions, k-Schur functions and their dual basis, and Schubert polynomials.
Thomas Lam +5 more
openaire +1 more source
This chapter discusses how k-Schur and dual k-Schur functions can be defined for all types. This is done via some combinatorial problems that come from the geometry of a very large family of generalized flag varieties. They apply to the expansion of products of Schur functions, k-Schur functions and their dual basis, and Schubert polynomials.
Thomas Lam +5 more
openaire +1 more source
Numerical Schubert Calculus by the Pieri Homotopy Algorithm
SIAM Journal on Numerical Analysis, 2002Summary: Based on Pieri's formula on Schubert varieties [see \textit{F. Sottile}, Can. J. Math. 49, 1281-1298 (1997; Zbl 0933.14031)], the Pieri homotopy algorithm was first proposed by \textit{B. Huber, F. Sottile}, and \textit{B. Sturmfels} [J. Symb. Comput.
Tien-Yien Li, Xiaoshen Wang, Mengnien Wu
openaire +2 more sources
An arithmetic Schubert calculus
1995Let \({\mathbb{G}}(n,p)\) be the Grassmann variety of \(p\)-dimensional subspaces of an \(n\)-dimensional space over \(\text{Spec } \mathbb{Z}\). It is shown that the Chow-Arakelov ring of \({\mathbb{G}}(n,p)\) is isomorphic to the ring \({\mathcal A}(p,n)\), where \({\mathcal A}(p,n)\) is defined as follows.
openaire +2 more sources
ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology
Trends in Mathematics, 2021Richard Rimányi
exaly
A combinatorial rule for (co)minuscule Schubert calculus
Advances in Mathematics, 2009Hugh Thomas, Alexander Yong
exaly
Schubert calculus and the Hopf algebra structures of exceptional Lie groups
Forum Mathematicum, 2014Xuezhi Zhao
exaly

