Moduli of roots of line bundles on curves

By Lucia Caporaso, C. Casagrande, M. Cornalba. 2004

73 citations recorded by the source corpus.

We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new different constructions, both using line bundles on nodal curves as boundary points, are carried out and compared with pre-existing ones.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4631cadbead2fa18bd950efc6b646929bb9179fb

How researchers see this paper

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In Geometry and Topology

1. G. Farkas
2. A. Chiodo
3. Lucia Caporaso
4. David Jensen
5. Matthew Baker
6. A. Verra
7. R. Pandharipande
8. Sam Payne

In Mathematical Physics

1. G. Farkas
2. A. Chiodo
3. Lucia Caporaso
4. A. Verra
5. David Jensen
6. R. Pandharipande
7. Dawei Chen
8. Ingrid Bauer

In Statistical and Nonlinear Physics

1. G. Farkas
2. A. Chiodo
3. Lucia Caporaso

Citations in the corpus

• The birational type of the moduli space of even spin curves (2008, methodology): “A compactification Sg of Sg over Mg is obtained by considering the coarse moduli space of the stack of stable spin curves of genus g (cf. [C], [ CCC ] and [AJ]).”
• Towards an enumerative geometry of the moduli space of twisted curves and rth roots (2006, methodology): “10) and ν∗S= S. (11) Proof. The statement follows from results of Cornalba [Co87] for square roots generalized to the case r>2 by Jarvis [Ja00], [Ja01] and by Caporaso, Casagrande, and Cornalba in [CCC07]. We contract the divisors Eq,i for 0 ≤ q≤ ⌊r/2⌋ and i6= q (in particular all divisors E 0,i ”
• Equivalence of ELSV and Bouchard–Mariño conjectures for $$r$$r-spin Hurwitz numbers (2013, unknown): “,an was constructed in [23], [1], [4], [6].”
• Néron models and compactified Picard schemes over the moduli stack of stable curves (2005, methodology): “Proof. The proof of proposition 4.1 in [ C94 ], apparently only a special case of this lemma (namely X quasistable (cf.”