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Local and global theory of the moduli of polarized Calabi-Yau manifolds.

Andrey Todorov (2003)

Revista Matemática Iberoamericana

In this paper we review the moduli theory of polarized CY manifolds. We briefly sketched Kodaira-Spencer-Kuranishi local deformation theory developed by the author and G. Tian. We also construct the Teichmüller space of polarized CY manifolds following the ideas of I. R. Shafarevich and I. I. Piatetski-Shapiro. We review the fundamental result of E. Viehweg about the existence of the course moduli space of polarized CY manifolds as a quasi-projective variety. Recently S. Donaldson computed the moment...

Local Contributions to Global Deformations of Surfaces.

Jonathan M. Wahl, D.M. Jr. Burns (1974)

Inventiones mathematicae

Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I.

Georgios Daskalopoulos, R. Wentworth (1993)

Mathematische Annalen

Local generalizations of Lefschetz-Zariski theorems.

Lê Dung Tráng, Helmut H. Hamm (1988)

Journal für die reine und angewandte Mathematik

Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles

Elena Martinengo (2009)

Rendiconti del Seminario Matematico della Università di Padova

Local structure of the moduli space of vector bundles over curves.

Yves Laszlo (1996)

Commentarii mathematici Helvetici

Local-global principle for certain biquadratic normic bundles

Yang Cao, Yongqi Liang (2014)

Acta Arithmetica

Let X be a proper smooth variety having an affine open subset defined by the normic equation $N_{k (\sqrt a, \sqrt b) / k} (x) = Q (t ₁, . . ., t ₘ) ²$ over a number field k. We prove that: (1) the failure of the local-global principle for zero-cycles is controlled by the Brauer group of X; (2) the analogue for rational points is also valid assuming Schinzel’s hypothesis.

Displaying 21 – 31 of 31

Local and global theory of the moduli of polarized Calabi-Yau manifolds.

Local Contributions to Global Deformations of Surfaces.

Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I.

Local generalizations of Lefschetz-Zariski theorems.

Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles

Local structure of the moduli space of vector bundles over curves.

Local-global principle for certain biquadratic normic bundles

Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties.

Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures.

Logarithmic geometry and algebraic stacks

L'unirazionalità della varietà dei moduli delle curve di genere dodici

Currently displaying 21 – 31 of 31