2025/04/03 by Emiliano Ambrosi, Ambrosi, Emiliano, Olivier de Gaay Fortman +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Commutative Algebra and Its Applications #FOS: Mathematics #General Topology (math.GN) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2504.02720
openalex publication_date 2025/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by questions arising in the theory of moduli spaces in real algebraic geometry, we develop a range of methods to study the topology of the real locus of a Deligne-Mumford stack over the real numbers. As an application, we verify in several cases the Smith-Thom type inequality for stacks that we conjectured in an earlier work. This requires combining techniques from group theory, algebraic geometry, and topology.