Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 Projectivity of the moduli of curves
- 2 The stack of admissible covers is algebraic
- 3 Projectivity of the moduli space of vector bundles on a curve
- 4 Boundedness of semistable sheaves
- 5 Theorem of the Base
- 6 Weil restriction for schemes and beyond
- 7 Heights over finitely generated fields
- 8 An explicit self-duality
- 9 Tannakian reconstruction of coalgebroids
2 - The stack of admissible covers is algebraic
Published online by Cambridge University Press: 06 October 2022
Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 Projectivity of the moduli of curves
- 2 The stack of admissible covers is algebraic
- 3 Projectivity of the moduli space of vector bundles on a curve
- 4 Boundedness of semistable sheaves
- 5 Theorem of the Base
- 6 Weil restriction for schemes and beyond
- 7 Heights over finitely generated fields
- 8 An explicit self-duality
- 9 Tannakian reconstruction of coalgebroids
Summary
We show that the moduli stack of admissible-covers of prestable curves is an algebraic stack, loosely following [1, App. B]. As preparation, we discuss finite group actions on algebraic spaces.
- Type
- Chapter
- Information
- Stacks Project Expository Collection , pp. 44 - 89Publisher: Cambridge University PressPrint publication year: 2022