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

Format:

Book

Author/Creator:

Biesel, Owen, 1988- author.

Holmes, David, 1986- author.

Series:

Memoirs of the American Mathematical Society ; no. 1416.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1416

Language:

English

Subjects (All):

Curves, Algebraic.

Categories (Mathematics).

Geometry, Algebraic.

Physical Description:

v, 92 pages : illustrations (black & white) ; 26 cm.

Place of Publication:

Providence, RI : American Mathematical Society, [2023]

Summary:

"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.

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.

Notes:

Includes bibliographical references (pages 87-88) and indexes.

ISBN:

9781470463106

1470463105

OCLC:

1381796087