Universal limit linear series and descent of moduli spaces

We introduce a formalism of descent of moduli spaces, and use it to produce limit linear series moduli spaces for families of curves in which the components of geometric fibers may have nontrivial monodromy. We then construct a universal stack of limit linear series over the stack of semistable curv...

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Bibliographic Details
Published inManuscripta mathematica Vol. 159; no. 1-2; pp. 13 - 38
Main Authors Lieblich, Max, Osserman, Brian
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 05.05.2019
Springer Nature B.V
Subjects
Algebraic Geometry
Calculus of Variations and Optimal Control; Optimization
Curves
Descent
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
14N10
14D23
14H51
14P99
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Summary:We introduce a formalism of descent of moduli spaces, and use it to produce limit linear series moduli spaces for families of curves in which the components of geometric fibers may have nontrivial monodromy. We then construct a universal stack of limit linear series over the stack of semistable curves of compact type, and produce new results on existence of real curves with few real linear series.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-018-1049-5