Noncommutative rigidity of the moduli stack of stable pointed curves

2014/12/22 by Shinnosuke Okawa, Okawa, Shinnosuke, Taro Sano +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1412.7060

openalex publication_date 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the second Hochschild cohomology group of the moduli stack of stable n-pointed genus g curves vanishes for all but finitely many (g,n).

Citations

• Introduction to the log minimal model program for log canonical pairs

Cited by

• Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks

Related

• The moduli space of stable n-pointed curves of genus zero
• Moduli stacks of permutation classes of pointed stable curves
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• One-dimensional substacks of the moduli stack of Deligne-Mumford stable curves
• Complete moduli for fibered surfaces