Studia Logica 110 (2):405-427 (2022)

Abstract
The Riemann–Roch theorem for algebraic curves is derived from a theorem for Girard quantales. Serre duality is shown to be a quantalic phenomenon. An example provides a Girard quantale satisfying the Riemann–Roch theorem, where the associated curve is non-connected and irreducible.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11225-021-09970-1
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,231
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Quantales and (Noncommutative) Linear Logic.David N. Yetter - 1990 - Journal of Symbolic Logic 55 (1):41-64.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

On a Logic of Involutive Quantales.Norihiro Kamide - 2005 - Mathematical Logic Quarterly 51 (6):579-585.
Topological Groupoid Quantales.A. Palmigiano & R. Re - 2010 - Studia Logica 95 (1-2):125 - 137.
A Few Notes on Quantum B-algebras.Shengwei Han & Xiaoting Xu - 2021 - Studia Logica 109 (6):1423-1440.
The Completeness of Linear Logic for Petri Net Models.K. Ishihara & K. Hiraishi - 2001 - Logic Journal of the IGPL 9 (4):549-567.
Modules in the Category of Sheaves Over Quantales.Marcelo E. Coniglio & Francisco Miraglia - 2001 - Annals of Pure and Applied Logic 108 (1-3):103-136.
Non-Commutative Logical Algebras and Algebraic Quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.
Continued Fractions and the Origins of the Perron–Frobenius Theorem.Thomas Hawkins - 2008 - Archive for History of Exact Sciences 62 (6):655-717.
Non-Standard Analysis in ACA0 and Riemann Mapping Theorem.Keita Yokoyama - 2007 - Mathematical Logic Quarterly 53 (2):132-146.

Analytics

Added to PP index
2021-10-19

Total views
2 ( #1,452,859 of 2,518,244 )

Recent downloads (6 months)
1 ( #408,577 of 2,518,244 )

How can I increase my downloads?

Downloads

Sorry, there are not enough data points to plot this chart.

My notes