Nikhil Ken

collaborators

2 papers

math.AG2026

Hermitian Distance Degree of Unitary-Invariant Matrix Varieties

Nikhil Ken

We study the Hermitian distance degree, a real enumerative invariant counting critical points of the squared Hermitian distance function, for matrix varieties invariant under left…

math.AG2025

Secant varieties of Segre-Veronese varieties $P^{m} \times P^{n}$ embedded by $O (1, 2)$ are non-defective for $n ≫ m^{3}$ , $m \geq 3$

Matěj Doležálek, Nikhil Ken

We prove that for any $m \geq 3$ , $n ≫ m^{3}$ , all secant varieties of the Segre-Veronese variety $P^{m} \times P^{n}$ have the expected dimension. This was already proved…

Hermitian Distance Degree of Unitary-Invariant Matrix Varieties

Secant varieties of Segre-Veronese varieties Pm×Pn embedded by O(1,2) are non-defective for n≫m3, m≥3

Secant varieties of Segre-Veronese varieties $P^{m} \times P^{n}$ embedded by $O (1, 2)$ are non-defective for $n ≫ m^{3}$ , $m \geq 3$