Derived categories and the analytic approach to general reciprocity laws. Part I. (30th August 2005)
- Record Type:
- Journal Article
- Title:
- Derived categories and the analytic approach to general reciprocity laws. Part I. (30th August 2005)
- Main Title:
- Derived categories and the analytic approach to general reciprocity laws. Part I
- Authors:
- Berg, Michael
- Abstract:
- Abstract : We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. We achieve this by placing Kubota's formulations ofn -Hilbert reciprocity in a new topological context, suited to the introduction of derived categories of sheaf complexes. Subsequently, we begin to investigate conditions on associated sheaves and a derived category of sheaf complexes specifically designed for an attack on Hecke's eighty-year-old challenge.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Number 13(2005)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Number 13(2005)
- Issue Display:
- Volume 13, Issue 13 (2005)
- Year:
- 2005
- Volume:
- 13
- Issue:
- 13
- Issue Sort Value:
- 2005-0013-0013-0000
- Page Start:
- 2133
- Page End:
- 2158
- Publication Date:
- 2005-08-30
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/IJMMS.2005.2133 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10716.xml