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Mario Kummer

38 papers hereh-index 13341 citations48 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author8
  • first author12
  • middle author12
  • last author6

Across the 38 of 38 papers where every author was matched, so the position is known.

fields
  • math.AG27
  • math.CO2
  • math.DG2
  • math.AC1
  • math.FA1
  • math.GR1
same name
  • Mario Kummer — 10 papers, h 3
  • Mario Kummer — 4 papers, h 2
  • Mario Kummer — 3 papers, h 2

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

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 2013 · math.AGShow all

2 papers · 2 filters

math.AG2013★ 14 cited

Determinantal Representations and Bézoutians

Mario Kummer

We show that for every smooth hyperbolic polynomial h there is another hyperbolic polynomial q such that qh has a definite determinantal representation. This is proved by consideri…

math.AG2013★ 11 cited

A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial

Mario Kummer

The specialized Vámos polynomial is a hyperbolic polynomial of degree four in four variables with the property that none of its powers admits a definite determinantal representatio…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.