Stacks for everyone who cares about varieties and singularities

DOI10.1007/978-3-031-32115-3_2zbMATH Open1545.14004MaRDI QIDQ6608522

Dan Abramovich

Publication date: 20 September 2024

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

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• Quotients by groupoids
• Intersection theory on algebraic stacks and on their moduli spaces
• Toroidal orbifolds, destackification, and Kummer blowings up
• The irreducibility of the space of curves of a given genus
• Algebraic spaces and stacks
• STABLE COHOMOLOGY OF GROUPS AND ALGEBRAIC VARIETIES
• Torification and factorization of birational maps
• Smoothness, Semistability, and Toroidal Geometry
• Functorial destackification of tame stacks with abelian stabilisers
• Lectures on Gromov–Witten Invariants of Orbifolds
• A computational view on Hironaka's resolution of singularities
• Weighted resolution of singularities. A Rees algebra approach

Related Items (2)

Relative and logarithmic resolution of singularities ⋮ New techniques in resolution of singularities: open problems

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