scientific article; zbMATH DE number 1884265
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Publication:4799186
zbMath1018.14001arXivmath/0005283MaRDI QIDQ4799186
Elisabetta Colombo, Alfonso Tortora, Gian Pietro Pirola
Publication date: 18 March 2003
Full work available at URL: https://arxiv.org/abs/math/0005283
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
vector bundleWahl mapvariations of Hodge structureshigher differentials of the period mapHodge-Gaussian maps
Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Families, moduli of curves (analytic) (14H15)
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Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ Some results on the second Gaussian map for curves ⋮ Shimura curves in the Prym loci of ramified double covers ⋮ A Hodge theoretic projective structure on compact Riemann surfaces ⋮ Prym map and second Gaussian map for Prym-canonical line bundles ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ The rank of the second Gaussian map for general curves ⋮ On the bielliptic and bihyperelliptic loci ⋮ Shimura curves in the Prym locus ⋮ FUJITA DECOMPOSITION AND HODGE LOCI ⋮ Siegel metric and curvature of the moduli space of curves ⋮ A bound on the dimension of a totally geodesic submanifold in the Prym locus ⋮ On the geometry of the second fundamental form of the Torelli map ⋮ Totally geodesic subvarieties in the moduli space of curves ⋮ On some differential-geometric aspects of the Torelli map ⋮ On the second Gaussian map for curves on a K3 surface ⋮ Bergman kernel and period map for curves ⋮ Hyperplane sections of abelian surfaces
Cites Work
- Higgs bundles and local systems
- Real homotopy theory of Kähler manifolds
- The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces
- On higher-order differentials of the period map
- On second fundamental forms of projective varieties
- Generalized Wahl maps and adjoint line bundles on a general curve
- Gaussian maps on algebraic curves
- Algebraic geometry and local differential geometry
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