Tomasz Kowalczyk

activity

20232026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.AG2026

A note on the real Jacobian conjecture in degree 7

Tomasz Kowalczyk

Let $(p, q)$ be a Jacobian pair. We show that the real Jacobian conjecture holds if the degree of $p$ is 7 and the highest degree homogenous part is of the form $α x^{7} + β x^{6} y$ for $…

math.AC2026

Sums of squares on curves and surfaces

Bartłomiej Bychawski, Bartosz Głowacki, Tomasz Kowalczyk

We study sums of higher even powers in the coordinate rings of singular planar curves $x^{M} = y^{m}$ for coprime positive integers $m < M$ . We then show that the $2 s$ -Pythagoras number of…