Cohomological invariants of root stacks and admissible double coverings

DOI10.4153/S0008414X21000602zbMath1506.14039arXiv2009.07671OpenAlexW3209711445MaRDI QIDQ5879630

Roberto Pirisi, Andrea Di Lorenzo

Publication date: 2 March 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07671

zbMATH Keywords

hyperelliptic curvescohomological invariantsroot stacksadmissible coverings

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Brauer groups of schemes (14F22) (Equivariant) Chow groups and rings; motives (14C15) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• The Picard group of the moduli stack of stable hyperelliptic curves
• Prym varieties and Schottky problem
• Chow groups with coefficients
• On the Kodaira dimension of the moduli space of curves
• On the splitting principle for cohomological invariants of reflection groups
• Picard group of moduli of hyperelliptic curves
• Geometric methods for cohomological invariants
• Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristics
• A complete description of the cohomological invariants of even genus hyperelliptic curves
• Geometry of Algebraic Curves
• Using stacks to impose tangency conditions on curves
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Localization in equivariant intersection theory and the Bott residue formula
• Twisted Bundles and Admissible Covers
• Cohomological invariants of algebraic stacks
• Stacks of cyclic covers of projective spaces
• Brauer groups of moduli of hyperelliptic curves via cohomological invariants
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