4 citations · 9 across the 8 of their papers we have counts for
9 papers · 1 filter
Enumerative geometry of conics and double covers on projective complete intersections
Dang Tuan Hiep, Ha Thi Thao Tram
We compare genus zero degree two Gromov--Witten invariants with the number of embedded conics on general projective complete intersections whose conic space has expected dimension…
A characterization of the algebraic degree in semidefinite programming
Dang Tuan Hiep, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van
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.…
An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
Dang Tuan Hiep
We first prove an identity involving symmetric polynomials. This identity leads us into exploring the geometry of Lagrangian Grassmannians. As an insight applications, we obtain a…
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
Dang Tuan Hiep
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah-Bott-Berline-Vergne formul…
Numerical invariants of Fano schemes of linear subspaces on complete intersections
Dang Tuan Hiep
The goal of this paper is to explore the genus and degree of the Fano scheme of linear subspaces on a complete intersection in a complex projective space. Firstly, suppose that the…
A formula for the algebraic degree in semidefinite programming
Dang Tuan Hiep
In this paper we use the Bott residue formula in equivariant cohomology to show a formula for the algebraic degree in semidefinite programming.
On the degree of Fano schemes of linear subspaces on hypersurfaces
Dang Tuan Hiep
In this paper we propose and prove an explicit formula for computing the degree of Fano schemes of linear subspaces on general hypersurfaces. The method used here is based on the l…
Rational Curves on Calabi-Yau Threefolds: Verifying Mirror Symmetry Predictions
Dang Tuan Hiep
In this paper, the numbers of rational curves on general complete intersection Calabi-Yau threefolds in complex projective spaces are computed up to degree six. The results are all…
Representations of non-negative polynomials via critical ideals
Dang Tuan Hiep
This paper studies the representations of a non-negative polynomial on a non-compact semi-algebraic set modulo its critical ideal. Under the assumptions that the semi-algeb…