Computations of some Hilbert functions related with schubert calculus

1985 ◽  
pp. 79-97 ◽  
Author(s):  
André Galligo
Keyword(s):  
Schubert Calculus ◽  
Hilbert Functions

scholarly journals Equivariant -theory of Grassmannians II: the Knutson–Vakil conjecture

2017 ◽  
Vol 153 (4) ◽  
pp. 667-677 ◽  
Author(s):  
Oliver Pechenik ◽  
Alexander Yong
Keyword(s):  
Schubert Calculus ◽  
Equivariant Theory

In 2005, Knutson–Vakil conjectured apuzzlerule for equivariant$K$-theory of Grassmannians. We resolve this conjecture. After giving a correction, we establish a modified rule by combinatorially connecting it to the authors’ recently proved tableau rule for the same Schubert calculus problem.

scholarly journals Schubert calculus and threshold polynomials of affine fusion

2000 ◽  
Vol 584 (3) ◽  
pp. 795-809 ◽  
Author(s):  
S.E. Irvine ◽  
M.A. Walton
Keyword(s):  
Schubert Calculus

scholarly journals Dynamic Pole Assignment and Schubert Calculus

1996 ◽  
Vol 34 (3) ◽  
pp. 813-832 ◽  
Author(s):  
M. S. Ravi ◽  
Joachim Rosenthal ◽  
Xiaochang Wang
Keyword(s):  
Pole Assignment ◽  
Schubert Calculus

Hilbert functions and the extension functor

1989 ◽  
Vol 105 (3) ◽  
pp. 441-446 ◽  
Author(s):  
David Kirby
Keyword(s):  
Commutative Ring ◽  
Hilbert Functions ◽  
Definition Of

Throughout R will denote a commutative ring with identity, A,B etc. will denote ideals of R, and E will denote a unitary R-module. We recall from [5] the definition of homological grade hgrR(A;E) as inf{r|ExtRr(R/A,E) ≠ 0}, and we allow both hgrR(A;E) = ∞ (i.e. ExtRr(R/A,E) = 0 for all r) and AE = E. For the most part E will be Noetherian, in which case hgrR(A;E) coincides with the usual grade grR(A;E) which is the supremum of the lengths of the (weak) E-sequences contained in A (see [7], for example).

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