39 research outputs found
Computation in multivariate quaternionic polynomial ring
In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring
EULER CHARACTERISTIC OF TANGO BUNDLES
We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank n-1 on the complex projective space P^n. In particular, we show that the Euler characteristic of the Tango bundle on P^n is equal to 2n-1
A characterization of the algebraic degree in semidefinite programming
In this article, we show that the algebraic degree in semidefinite
programming can be expressed in terms of the coefficient of a certain monomial
in a doubly symmetric polynomial. This characterization of the algebraic degree
allows us to use the theory of symmetric polynomials to obtain many interesting
results of Nie, Ranestad and Sturmfels in a simpler way.Comment: 14 page