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|a The canonical ring of a stacky curve
|f John Voight, David Zureick-Brown
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|a Providence (R.I.)
|c American Mathematical Society
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|d C 2022
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|a 1 vol. (V-144 p.)
|d 26 cm
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|a Memoirs of the American Mathematical Society
|x 0065-9266
|v Number 1362
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| 300 |
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|a "May 2022, volume 277, number 1362 (third of 6 numbers)."
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|a Bibliogr. p. 139-144
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2 |
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|b Chapter 1. Introduction
|c 1.1 Motivation: Petri's theorem
|c 1.2 Orbifold canonical rings
|c 1.3 Rings of modular forms
|c 1.4 Main result
|c 1.5 Extensions and discussion
|c 1.6 Previous work on canonical rings of fractional divisors
|c 1.7 Computational applications
|c 1.8 Generalizations
|c 1.9 Organization and description of proof
|c 1.10 Acknowledgements
|b Chapter 2. Canonical rings of curves
|c 2.1 Setup
|c 2.2 Terminology
|c 2.3 Low genus
|c 2.4 Basepoint-free pencil trick
|c 2.5 Pointed gin: High genus and nonhyperelliptic
|c 2.6 Gin and pointed gin: Rational normal curve
|c 2.7 Pointed gin: Hyperelliptic
|c 2.8 Gin: Nonhyperelliptic and hyperelliptic
|c 2.9 Summary
|b Chapter 3. A generalized Max Noether's theorem for curves
|c 3.1 Max Noether's theorem in genus at most 1
|c 3.2 Generalized Max Noether's theorem (GMNT)
|c 3.3 Failure of subjectivity
|c 3.4 GMNT: Nonhyperelliptic curves
|c 3.5 GMNT: Hyperelliptic curves
|b Chapter 4. Canonical rings of classical log curves
|c 4.1 Main result: Classical log curves
|c 4.2 Log curves: Genus 0
|c 4.3 Log curves: Genus 1
|c 4.4 Log degree 1: hyperelliptic
|c 4.5 Log degree 1: Nonhyperelliptic
|c 4.6 Exceptional log cases
|c 4.7 Log degree 2
|c 4.8 General log degree
|c 4.9 Summary
|b Chapter 5. Stacky curves
|c 5.1 Stacky points
|c 5.2 Definition of stacky curves
|c 5.3 Coarse space
|c 5.4 Divisors and line bundles on a stacky curve
|c 5.5 Differentials on a stacky curve
|c 5.6 Canonical ring of a (log) stacky curve)
|c 5.7 Examples of canonical rings of log stacky curves
|b Chapter 6. Rings of modular forms
|c 6.1 Orbifolds and stacky Rieman existence
|c 6.2 Modular forms
|b Chapter 7. Canonical rings of log stacky curves: genus zero
|c 7.1 Toric presentation
|c 7.2 Effective degrees
|c 7.3 Simplification
|b Chapter 8. inductive presentation of the canonical ring
|c 8.1 The block term order
|c 8.2 Block term order: Examples
|c 8.3 Inductive theorem: large degree canonical divisor
|c 8.4 Main theorem
|c 8.5 Inductive theorem: By order of stacky point
|c 8.6 Inductive theorem: By order of stacky point
|c 8.7 Poincaré generating polynomials
|b Chapter 9. Log stacky base cases in genus 0
|c 9.1 Beginning with small signatures
|c 9.2 Canonical rings for small signatures
|c 9.3 Conclusion
|b Chapter 10. Spin canonical rings
|c 10.1 Classical case
|c 10.2 Modular forms
|c 10.3 Genus zero
|c 10.4 Higher genus
|b Chapter 11. Relative canonical algebras
|c 11.1 Classical case
|c 11.2 Relatve stacky curves
|c 11.3 Modular forms and application to Rustom's conjecture
|b Appendix: Tables of canonical rings
|b Bibliography
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|0 013293931
|t Memoirs of the American Mathematical Society
|x 0065-9266
|v 1362
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| 452 |
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| |
|0 26316635X
|t The canonical ring of a stacky curve
|f John Voight, David Zureick-Brown
|d 2022
|c Providence, RI
|n AMS, American Mathematical Society
|s Memoirs of the American mathematical society
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