Claus Scheiderer

activity

19982023

most citedQuillen property of real algebraic varieties

8 citations · 39 across the 23 of their papers we have counts for

collaborators

Showing 2016 · math.AGShow all

3 papers · 2 filters

math.AG2016

Polynomials nonnegative on the cylinder

Claus Scheiderer, Sebastian Wenzel

In 2010, Marshall settled the strip conjecture, according to which every polynomial in $R [x, y]$ , nonnegative on the strip $[- 1, 1] \times R$ , is a sum of squares and…

math.AG2016

Sum of squares length of real forms

Claus Scheiderer

For $n, d \geq 1$ let $p (n, 2 d)$ denote the smallest number $p$ such that every sum of squares of forms of degree $d$ in $R [x_{1}, \dots, x_{n}]$ is a sum of $p$ squares. We establ…

math.AG2016★ 1 cited

An observation on positive definite forms

Claus Scheiderer

Given two positive definite forms $f, g \in R [x_{1}, \dots, x_{n}]$ , we prove that $f g^{r}$ lies in the interior of the sums of squares cone for large $r$ .