Moduli of genus one curves with two marked points as a weighted blow-up
Giovanni Inchiostro

TL;DR
This paper provides an explicit geometric description of the moduli space of genus one curves with two marked points, and uses it to compute its Brauer group and Chow rings over suitable base schemes.
Contribution
It introduces a weighted blow-up model for ar{\u03bc}_{1,2} and applies this to compute its Brauer group and Chow rings, advancing understanding of its algebraic structure.
Findings
Explicit weighted blow-up description of ar{rac{1}{2}}
Computed Brauer group over schemes where 6 is invertible
Determined integral Chow rings of ar{rac{1}{2}} and rac{rac{1}{2}}
Abstract
We give an explicit description of as a weighted blow-up of a weighted projective stack. We use this description to compute the Brauer group of over any base scheme where 6 is invertible, and the integral Chow rings of and .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models
