3 papers
math.CO2026
The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square
Turgay Akyar, Artem Beliakov, Konstantin Delchev +6
Place one grain at every nonsink vertex of the wired square, and let be the order of this operation in the sandpile group. Thus is the least positive …
math.AG2026
Introduction to non-Abelian Patchworking
Turgay Akyar, Mikhail Shkolnikov
The note introduces a novel concept of non-Abelian patchworking arising as real locus of non-Abelian complex-phase tropical hypersurfaces, the theory of which is now developed enou…
math.AG2024
Special Divisors on Real Trigonal Curves
Turgay Akyar
In this paper we examine the topology of Brill-Noether varieties associated to real trigonal curves. More precisely, we aim to count the connected components of the real locus of t…