Frobenius Quantales, Serre Quantales and the Riemann–Roch Theorem

Studia Logica 110 (2):405-427 (2021)
  Copy   BIBTEX

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.

Categories

Keywords

Reprint years

2022

DOI

10.1007/s11225-021-09970-1

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,503

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

A Kripke semantics for the logic of Gelfand quantales.Gerard Allwein & Wendy MacCaull - 2001 - Studia Logica 68 (2):173-228.
Pretopologies and a uniform presentation of sup-lattices, quantales and frames.Giulia Battilotti & Giovanni Sambin - 2006 - Annals of Pure and Applied Logic 137 (1-3):30-61.
On a logic of involutive quantales.Norihiro Kamide - 2005 - Mathematical Logic Quarterly 51 (6):579-585.
GL-Quantales: Q-valued sets and their singletons. [REVIEW]Ulrich Höhle - 1998 - Studia Logica 61 (1):123-148.
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.
Order algebras as models of linear logic.Constantine Tsinakis & Han Zhang - 2004 - Studia Logica 76 (2):201 - 225.
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.
Quantized linear logic, involutive quantales and strong negation.Norihiro Kamide - 2004 - Studia Logica 77 (3):355-384.
Non-commutative topology and quantales.Marcelo E. Coniglio & Francisco Miraglia - 2000 - Studia Logica 65 (2):223-236.
Non-standard analysis in ACA0 and Riemann mapping theorem.Keita Yokoyama - 2007 - Mathematical Logic Quarterly 53 (2):132-146.
The pursuit of the riemann hypothesis.Mark Colyvan - unknown

Analytics

Added to PP
2021-10-19

Downloads
11 (#1,129,170)

6 months
5 (#626,991)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Quantales and (noncommutative) linear logic.David N. Yetter - 1990 - Journal of Symbolic Logic 55 (1):41-64.

Add more references