A Researcher’s compass: Grothendieck his Rising Sea: Universality and the Dissolution of Singularities in Algebraic Geometry
Abstract
We advocate for the “Rising Sea” methodology (La Mer qui Monte) as the paradigmatic approach to
modern algebraic geometry, constructing abelian categories and derived functors to dissolve
apparent singularities through structural universality.
Keywords & Fields
Cite this work (BibTeX)
@article{deceuster2026_51-a-researchers-com,
title = {A Researcher’s compass: Grothendieck his Rising Sea: Universality and the Dissolution of Singularities in Algebraic Geometry},
author = {De Ceuster, Peter},
year = {2026},
month = {01},
institution = {SIG Labs},
doi = {10.5281/zenodo.18233452},
url = {https://peterdeceuster.uk/papers/51-a-researchers-compass-grothendieck-his-rising-sea-universality},
note = {Full text available at https://peterdeceuster.uk/articenter/work/risingsea2 (1).pdf}
}