Towards a classification of modular compactifications of \(\mathcal {M}_{g,n}\)

DOI10.1007/s00222-012-0416-1zbMath1277.14023OpenAlexW1981284193MaRDI QIDQ2377345

David Ishii Smyth

Publication date: 28 June 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-012-0416-1

zbMATH Keywords

stacksmoduli of curvescurve singularities

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Singularities of curves, local rings (14H20) Fine and coarse moduli spaces (14D22)

Related Items (19)

Moduli of curves, Gröbner bases, and the Krichever map ⋮ Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors ⋮ Moduli spaces of nonspecial pointed curves of arithmetic genus 1 ⋮ Hurwitz correspondences on compactifications of \(\mathcal{M}_{0, N}\) ⋮ A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves ⋮ Birational contractions of \(\overline{\mathrm{M}}_{0,n}\) and combinatorics of extremal assignments ⋮ Reduced invariants from cuspidal maps ⋮ Alternate compactifications of the moduli space of genus one maps ⋮ The Hilbert stack ⋮ Contracting the Weierstrass locus to a point ⋮ VGIT presentation of the second flip of \(\overline{M}_{2,1}\) ⋮ Algebraic stability of meromorphic maps descended from Thurston’s pullback maps ⋮ Contractions of subcurves of families of log curves ⋮ Compactifications of \(\mathcal{M}_{0,n}\) associated with Alexander self-dual complexes: Chow rings, \( \psi \)-classes, and intersection numbers ⋮ Toric graph associahedra and compactifications of \(M_{0,n}\) ⋮ A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_ \infty\)-structures ⋮ Modular compactifications of \(\mathcal{M}_{2,n}\) with Gorenstein curves ⋮ Mori's program for M¯0,6 with symmetric divisors ⋮ A relative GAGA principle for families of curves

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