Topological methods in moduli theory

DOI10.1007/s13373-015-0070-1zbMath1375.14129arXiv1411.3235OpenAlexW2963909662WikidataQ59401681 ScholiaQ59401681MaRDI QIDQ887211

Fabrizio Catanese

Publication date: 28 October 2015

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3235

zbMATH Keywords

classifying spacesgroup cohomologyabsolute Galois groupmoduli spacesgroup of automorphismsgroup homologyprojective varietiesBagnera-de Franchis varietiessymmetry marked moduli spaces

Mathematics Subject Classification ID

moduli problems, moduli of vector bundles&go=Go Algebraic moduli problems, moduli of vector bundles (14D20) moduli, classification: algebraic theory&go=Go Families, moduli, classification: algebraic theory (14J10) of general type&go=Go Surfaces of general type (14J29) classification: analytic theory; relations with modular forms&go=Go Moduli, classification: analytic theory; relations with modular forms (14J15)

Related Items (20)

The locus of curves with \(D_n\)-symmetry inside \(\mathfrak M_g\) ⋮ A note on the automorphism group of a compact complex manifold ⋮ Surfaces of general type with q = 2 are rigidified ⋮ On rigid compact complex surfaces and manifolds ⋮ A Fulton-Hansen theorem for almost homogeneous spaces ⋮ A note on a family of surfaces with \(p_g=q=2\) and \(K^2=7\) ⋮ Smooth covers of moduli stacks of Riemann surfaces with symmetry ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Rigid manifolds of general type with non-contractible universal cover ⋮ Group actions on local moduli space of holomorphic vector bundles ⋮ Fibred algebraic surfaces and commutators in the symplectic group ⋮ Rigid group actions on complex tori are projective (after Ekedahl) ⋮ Deformation of a generically finite map to a hypersurface embedding ⋮ On the homeomorphism type of smooth projective fourfolds ⋮ G-marked moduli spaces ⋮ On the irreducibility of the space of Galois covers of curves of a given numerical type for certain split metacyclic groups ⋮ The moduli space of smooth ample hypersurfaces in abelian varieties ⋮ On Coxeter algebraic varieties. The geometry of \(CB_{n}\) quartics ⋮ Classification of Bagnera-de Franchis varieties in small dimensions ⋮ The Teichmüller and Riemann moduli stacks

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