Mario Kummer

activity

20122023

most citedHyperbolic polynomials, interlacers, and sums of squares

29 citations · 215 across the 37 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019★ 1 cited

On Huisman's conjectures about unramified real curves

Mario Kummer, Dimitri Manevich

Let $X \subset P^{n}$ be an unramified real curve with $X (R) \neq = \emptyset$ . If $n \geq 3$ is odd, Huisman conjectures that $X$ is an $M$ -curve and that every br…

math.DG2019★ 6 cited

Convex Algebraic Geometry of Curvature Operators

Renato G. Bettiol, Mario Kummer, Ricardo A. E. Mendes

We study the structure of the set of algebraic curvature operators satisfying a sectional curvature bound under the light of the emerging field of Convex Algebraic Geometry. More p…

math.FA2019★ 4 cited

The multidimensional truncated Moment Problem: Carathéodory Numbers from Hilbert Functions

Philipp J. di Dio, Mario Kummer

In this paper we improve the bounds for the Carathéodory number, especially on algebraic varieties and with small gaps (not all monomials are present). We provide explicit lower an…