5 papers
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
Dual Chow polynomials of matroids and posets
Giovanni Caiolo, Luis Ferroni, Elena Hoster
We introduce and study dual Chow functions associated to kernels in incidence algebras of weakly ranked posets. Given a kernel, its dual Chow function is defined as the Chow functi…
Extending the ab-index
Elena Hoster, Christian Stump, Lorenzo Vecchi
We prove for finite, graded, bounded posets, that the Poincaré-extended ab-index is obtained from the ab-index via the omega-transformation. This proves a conjecture by Dorpalen-B…
Chow polynomials of simplicial posets with positive -vector are real-rooted
Elena Hoster, Christian Stump
We prove that a finite graded simplicial poset with a top element added has real-rooted Chow and augmented Chow polynomials whenever it has a positive -vector. This class of pos…
The coarse flag Hilbert-Poincaré series of the braid arrangement
Elena Hoster, Christian Stump
The paper concerns the coarse flag Hilbert-Poincaré series of Maglione-Voll in the case of the braid arrangement associated to the symmetric group. We explicitly construct a compa…