M. Dolezálek

collaborators

3 papers

math.AG2026

Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus

Matěj Doležálek, Mateusz Michałek

We present a family of flattening methods of tensors which we call Kronecker-Koszul flattenings, generalizing the famous Koszul flattenings and further equations of secant varietie…

math.NT2025

Extending bounds on minimal ranks of universal quadratic lattices to larger number fields

Matěj Doležálek

There exist numerous results in the literature proving that within certain families of totally real number fields, the minimal rank of a universal quadratic lattice over such a fie…

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…

Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus

Extending bounds on minimal ranks of universal quadratic lattices to larger number fields

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 $n ≫ m^{3}$ , $m \geq 3$