Klemen Šivic

activity

20132026

most citedThere are many more positive maps than completely positive maps

12 citations · 16 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.AG2026

2-step ideals and commuting matrices

Klemen Šivic

2-step ideals are ideals $I$ of the polynomial ring that satisfy $m^{k + 2} ⊊ I ⊊ m^{k}$ where $m$ is the maximal ideal generated by va…

math.AG2021

Components and singularities of Quot schemes and varieties of commuting matrices

Joachim Jelisiejew, Klemen Šivic

We investigate the variety of commuting matrices. We classify its components for any number of matrices of size at most 7. We prove that starting from quadruples of size 8 matrices…

math.AG2018

Higher-distance commuting varieties

Madeleine Elyze, Alexander Guterman, Ralph Morrison +1

The commuting variety of matrices over a given field is a well-studied object in linear algebra and algebraic geometry. As a set, it consists of all pairs of square matrices with e…

math.AG2013

On varieties of commuting nilpotent matrices

Nham V. Ngo, Klemen Šivic

Let $N (d, n)$ be the variety of all $d$ -tuples of commuting nilpotent $n \times n$ matrices. It is well-known that $N (d, n)$ is irreducible if $d = 2$ , if $n \leq 3$ or if $d = 3$ and $n = 4$ …