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A descent map for curves with totally degenerate semi-stable reduction

Shahed Sharif (2013)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a local field of residue characteristic $p$ . Let $C$ be a curve over $K$ whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to- $p$ rational torsion subgroup on the Jacobian of $C$ . We also determine divisibility of line bundles on $C$ , including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of $C$ .

A remark on the Picard group of spin moduli space

Maurizio Cornalba (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.

Displaying 1 – 9 of 9

A descent map for curves with totally degenerate semi-stable reduction

A remark on the Picard group of spin moduli space

A Siegel modular 3-fold that is a Picard modular 3-fold

A Theorem of Grothendieck Using Picard Groups for the Algebraist.

Affine varieties dominated by C2.

Algebraicity of the ample cone of projective varieties.

An invariant of quadratic forms over schemes.

Annulation du H1 et systèmes paracanoniques sur les surfaces.

Appendix : “Picard groups of Zariski surfaces”

Currently displaying 1 – 9 of 9