Analysis of an algorithm to compute the cohomology groups of coherent sheaves and its applications

DOI10.1007/s13160-017-0238-zzbMath1386.14207OpenAlexW2588407686MaRDI QIDQ2364350

Momonari Kudo

Publication date: 19 July 2017

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/1650651

zbMATH Keywords

cohomology groupsGröbner basescomputer algebracoherent sheavesalgebraic geometry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) (Co)homology theory in algebraic geometry (14F99) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (3)

Computing representation matrices for the action of Frobenius on cohomology groups ⋮ Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 ⋮ Superspecial Trigonal Curves of Genus 5

Uses Software

• Macaulay2
• Magma
• BGG

Cites Work

• Faisceaux algébriques cohérents
• The Magma algebra system. I: The user language
• Computing global extension modules
• Sheaf cohomology and free resolutions over exterior algebras
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
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