Wall-crossing integral Chow rings of \mathcal M_1,n

2024/02/22 by Battistella, Luca, Di Lorenzo, Andrea
#14C15 #14D23 #14H10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.14644

Abstract

We compute the integral Chow rings of \mathcal M_1,n for n=3,4. For n≤ 6, these stacks can be obtained by a sequence of weighted blow-ups and blow-downs from a simple stack, either a weighted projective space or a Grassmannian. Our strategy consists in inductively computing all the integral Chow rings of the alternative compactifications introduced by Smyth and studied by Lekili-Polishchuk.

Related

• The integral Chow ring of weighted blow-ups
• The integral Chow ring of M_1,n for n=3,…,10
• Integral Chow rings of modular compactifications of M_{1,n≤ 6}
• The first higher Chow groups of M_1,n for n≤ 4
• The integral Chow ring of M_1,3