Deciding stability of sheaves on curves

DOI10.1142/S0218196722500369zbMath1492.14058arXiv2103.12493OpenAlexW3137616248MaRDI QIDQ5864706

Holger Brenner, Jonathan Steinbuch

Publication date: 8 June 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12493

zbMATH Keywords

vector bundlesemistabilitysymmetric powerssyzygy sheaf

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Uses Software

• CoCoA
• Macaulay2
• Normaliz
• SuiteSparseQR
• SuitSparseQR

Cites Work

• On the behaviour of strong semistability in geometric deformations
• Looking out for stable syzygy bundles
• Vector bundles on complex projective spaces
• Zur homologischen Dimension äußerer Potenzen von Moduln
• Semistable Vector Bundles and Tannaka Duality from a Computational Point of View
• Algorithm 915, SuiteSparseQR
• Geometric Invariant Theory
• Bounds for test exponents
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