Fine compactified moduli of enriched structures on stable curves / Owen Biesel, David Holmes.

Author/creator Biesel, Owen, 1988-
Other author Holmes, David, 1986-
Format Electronic
Publication InfoProvidence, RI : American Mathematical Society, 2023.
Descriptionpages cm
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMemoirs of the American Mathematical Society, 0065-9266 ; volume 285, number 1416
Contents Preliminaries -- Defining enriched structures -- Representability of the functor of enriched structures -- Enriched structures over separably close fields -- The stack of enriched structures and universal Néron models -- Relation to the constructions of Mainò -- Defining compactified enriched structures -- Properness of the stack of compactified enriched structures -- Comparison to enriched structures.
Abstract "Enriched structures on stable curves over fields were defined by Maino in the late 1990s, and have played an important role in the study of limit linear series and degenerating jacobians. In this paper we solve three main problems: we give a definition of enriched structures on stable curves over arbitrary base schemes, and show that the resulting fine moduli problem is representable; we show that the resulting object has a universal property in terms of Neron models; and we construct a compactification of our stack of enriched structures"-- Provided by publisher.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2023024312
ISBN9781470463106 (paperback)
ISBN(pdf)

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