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 2023 · math.AGShow all

3 papers · 2 filters

math.AG2023★ 1 cited

Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves

Daniele Agostini, Mario Kummer

We establish a connection between the theory of Ulrich sheaves and $A^{1}$ -homotopy theory. For instance, we prove that the $A^{1}$ -degree of a morphism between proje…

math.AG2023★ 3 cited

Bounding the signed count of real bitangents to plane quartics

Mario Kummer, Stephen McKean

Using methods from enriched enumerative geometry, Larson and Vogt gave a signed count of the number of real bitangents to real smooth plane quartics. This signed count depends on a…

math.AG2023★ 1 cited

A signed count of 2-torsion points on real abelian varieties

Mario Kummer

We prove that a natural signed count of the $2$ -torsion points on a real principally polarized abelian variety $A$ always equals to $2^{g}$ where $g$ is the dimension of $A$ . When…