On the geometric weight system of topological actions on cohomology quaternionic projective spaces

1975 ◽  
Vol 28 (1) ◽  
pp. 107-127 ◽  
Author(s):  
Wu-Yi Hsiang ◽  
J. C. Su
Keyword(s):  
Projective Spaces ◽  
Weight System ◽  
Geometric Weight

On the geometric weight system of differentiable compact transformation groups on acyclic manifolds

1971 ◽  
Vol 12 (1) ◽  
pp. 35-47 ◽  
Author(s):  
Wu-yi Hsiang
Keyword(s):  
Transformation Groups ◽  
Weight System ◽  
Geometric Weight

scholarly journals Error-Correcting Codes in Projective Spaces Via Rank-Metric Codes and Ferrers Diagrams

2009 ◽  
Vol 55 (7) ◽  
pp. 2909-2919 ◽  
Author(s):  
Tuvi Etzion ◽  
Natalia Silberstein
Keyword(s):  
Projective Spaces ◽  
Error Correcting Codes ◽  
Rank Metric ◽  
Rank Metric Codes ◽  
Ferrers Diagrams

Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups

2020 ◽  
pp. 107553 ◽  
Author(s):  
Marek Golasiński ◽  
Thiago de Melo ◽  
Edivaldo L. dos Santos
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

Lie algebras graded by the weight system (Θ ,sl)

2021 ◽  
Vol 581 ◽  
pp. 1-44
Author(s):  
Alexander Baranov ◽  
Hogir M. Yaseen
Keyword(s):  
Lie Algebras ◽  
Weight System

scholarly journals Curves with Two Pencils and Associated Maps to Projective Spaces

2006 ◽  
Vol 13 (3) ◽  
pp. 411-417
Author(s):  
Edoardo Ballico
Keyword(s):  
Linear System ◽  
Projective Spaces ◽  
Free Resolution ◽  
Homogeneous Ideal ◽  
Projective Curve ◽  
Minimal Free Resolution ◽  
Complete Linear System

Abstract Let 𝑋 be a smooth and connected projective curve. Assume the existence of spanned 𝐿 ∈ Pic𝑎(𝑋), 𝑅 ∈ Pic𝑏(𝑋) such that ℎ0(𝑋, 𝐿) = ℎ0(𝑋, 𝑅) = 2 and the induced map ϕ 𝐿,𝑅 : 𝑋 → 𝐏1 × 𝐏1 is birational onto its image. Here we study the following question. What can be said about the morphisms β : 𝑋 → 𝐏𝑅 induced by a complete linear system |𝐿⊗𝑢⊗𝑅⊗𝑣| for some positive 𝑢, 𝑣? We study the homogeneous ideal and the minimal free resolution of the curve β(𝑋).

scholarly journals Examples of Hyperbolic Hypersurfaces of Low Degree in Projective Spaces

2015 ◽  
Vol 2016 (18) ◽  
pp. 5518-5558 ◽  
Author(s):  
Dinh Tuan Huynh
Keyword(s):  
Projective Spaces ◽  
Low Degree

Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces

2003 ◽  
Vol 10 (1) ◽  
pp. 37-43
Author(s):  
E. Ballico
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Free Resolution ◽  
Complete Intersections ◽  
Vanishing Theorem ◽  
Sheaf Cohomology ◽  
Minimal Free Resolution ◽  
Branched Coverings ◽  
Infinite Dimensional ◽  
Complex Spaces

Abstract We consider the vanishing problem for higher cohomology groups on certain infinite-dimensional complex spaces: good branched coverings of suitable projective spaces and subvarieties with a finite free resolution in a projective space P(V ) (e.g. complete intersections or cones over finitedimensional projective spaces). In the former case we obtain the vanishing result for H 1. In the latter case the corresponding results are only conditional for sheaf cohomology because we do not have the corresponding vanishing theorem for P(V ).

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