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Projective Algebraic Geometry VII: Divisors
A point ψ in a variety V may be viewed as the smallest proper subvariety of V while an irreducible subvariety W of codimension 1 in V may be viewed as the largest (type of) proper subvariety. We shall call such a W a prime divisor on V if V is normal (i.e., 0 ξ,V integrally closed for all ψ ∈ V).
Peter Falb
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The Dimensions of the Hulls of Conorm Codes from Algebraic Geometry Codes
arXiv.orgChara et al. introduced conorm codes defined over algebraic geometry codes, but the hulls of conorm codes were not determined yet. In this paper, we study the dimension of the hull of conorm codes using the method introduced by Camps et al.
Junmin An, Jon-Lark Kim
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Fractional decoding of algebraic geometry codes over extension fields
arXiv.orgIn this paper, we study algebraic geometry codes from curves over $\mathbb{F}_{q^\ell}$ through their virtual projections which are algebraic geometric codes over $\mathbb{F}_q$.
Eduardo Camps-Moreno+2 more
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Combinatorial Foundations for Algebraic Geometry via Matroid Theory
International Journal For Multidisciplinary ResearchThe purpose of this paper is to investigate the connection between matroid theory and algebraic geometry. It demonstrates how matroids offer a unified approach to the study of geometric and combinatorial features.
Tushar Atole, Namrata Kaushal
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Geometry and Cohomology in Group Theory: Analytic Versions of the Zero Divisor Conjecture
, 1998This is an expanded version of the three lectures I gave at the Durham conference. The material is mainly expository, though there are a few new results, and for those I have given complete proofs.
P. Linnell
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On the unique representation of very strong algebraic geometry codes
Des. Codes Cryptogr., 2014Irene Marquez Corbella+2 more
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From Convex Geometry of Certain Valuations to Positivity Aspects in Algebraic Geometry
, 2018Victor Lozovanu
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Divisors in Algebraic Geometry, Central Simple Algebras and Severi-Brauer Varieties
2022openaire +1 more source