Universal covering spaces and fundamental groups in algebraic geometry as schemes [PDF]
Journal de théorie des nombres de Bordeaux, 2017 In topology, the notions of the fundamental group and the universal cover are closely intertwined. By importing usual notions from topology into the algebraic and arithmetic setting, we construct a fundamental group family from a universal cover, both of which are schemes.
Vakil, Ravi, Wickelgren, Kirsten
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The Reflectiveness of Covering Morphisms in Algebra and Geometry
Theory and Applications of Categories, 1997 Summary: Each full reflective subcategory \(\mathcal X\) of a finitely-complete category \(\mathcal C\) gives rise to a factorization system \(({\mathcal E}, {\mathcal M})\) on \(\mathcal C\), where \({\mathcal E}\) consists of the morphisms of \({\mathcal C}\) inverted by the reflexion \(I : {\mathcal C}\to {\mathcal X}\).
Janelidze, G., Kelly, G. M.
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A small resolution for triple covers in algebraic geometry
Le Matematiche, 2001 Given a triple cover p: X --> Y of varieties, we produce a new variety Z and a birational morphism f: Z --> X which is an isomorphism away from the fat-point ramification locus of p. The variety Z has a natural interpretation in terms of the data describing the triple cover, and the morphism f has an elegant geometric description.
Daniele Faenzi, Janis Stipins
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Dual and covering radii of extended algebraic geometry codes
Discrete Mathematics28
Yunlong Zhu, Chang-An Zhao
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Some Optimal Codes from Algebraic Geometry and Their Covering Radii
European Journal of Combinatorics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An algebraic formula, deep learning and a novel SEIR-type model for the COVID-19 pandemic. [PDF]
R Soc Open Sci, 2023 Fokas AS, Dikaios N, Yortsos YC.
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DNA Sequence and Structure under the Prism of Group Theory and Algebraic Surfaces. [PDF]
Int J Mol Sci, 2022 Planat M +5 more
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On proper branched coverings and a question of Vuorinen. [PDF]
Bull Lond Math Soc, 2022 Kauranen A, Luisto R, Tengvall V.
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The Euler characteristic as a basis for teaching topology concepts to crystallographers. [PDF]
J Appl Crystallogr, 2022 Naskręcki B, Jaskolski M, Dauter Z.
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Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
J Geom Anal, 2022 Haller S.
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