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
6 - Weil restriction for schemes and beyond
Published online by Cambridge University Press: 06 October 2022
- 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
The aim of this note is to discuss the Weil restriction of schemes and algebraic spaces, highlighting pathological phenomena that appear in the theory and are not widely known. It is shown that the Weil restriction of a locally finite algebraic space along a finite flat morphism is an algebraic space.
Keywords
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- Chapter
- Information
- Stacks Project Expository Collection , pp. 194 - 221Publisher: Cambridge University PressPrint publication year: 2022