Néron models and compactified Picard schemes over the moduli stack of stable curves

By Lucia Caporaso. 2005

77 citations recorded by the source corpus.

We construct modular Deligne-Mumford stacks representable over parametrizing Néron models of Jacobians as follows. Let B be a smooth curve and K its function field, let be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model → B is then the base change of via the moduli map B → of f , i.e.: B. Moreover is compactified by a Deligne-Mumford stack over , giving a completion of Néron models naturally stratified in terms of Néron models.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/75a858cc0323404cd2948b6bdcd381cdb165318e

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In Algebra and Number Theory

1. David Jensen
2. R. Hain
3. Matthew Baker
4. Laura Demarco
5. Omid Amini
6. Lucia Caporaso
7. Robert Rumely

In Geometry and Topology

1. David Jensen
2. Matthew Baker
3. R. Hain
4. Omid Amini
5. Laura Demarco
6. Lucia Caporaso
7. Sam Payne
8. Dhruv Ranganathan

In Mathematical Physics

1. David Jensen
2. R. Hain
3. Matthew Baker
4. Laura Demarco
5. Mattias Jonsson
6. S. Grushevsky
7. Omid Amini
8. Joseph Rabinoff

Citations in the corpus

• Degeneration of Linear Series from the Tropical Point of View and Applications (2015, methodology): “Sam Payne has asked whether (up to the identification of Pic with Pic) this model coincides with the compactification of the Néron model of Jac(C) introduced by Caporaso in [Cap08].”
• Normal Functions and the Geometry of Moduli Spaces of Curves (2011, background): “It is the analytic orbifold associated to the restriction of the universal Pic stack overMg toMg −∆ sing 0 , which is constructed in [3].”