Lim Ulrich sequences and Boij-Söderberg cones

DOI10.1017/fms.2023.108arXiv2209.03498OpenAlexW4389916947MaRDI QIDQ6182803

Srikanth B. Iyengar, Mark E. Walker, Linquan Ma

Publication date: 21 December 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03498

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14) Sheaves in algebraic geometry (14F06)

Cites Work

• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• Cohomology of coherent sheaves and series of supernatural bundles
• Depth for complexes, and intersection theorems
• Multiplicities and Betti numbers in local algebra via lim Ulrich points
• Categorified duality in Boij-Söderberg theory and invariants of free complexes
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Lim Ulrich sequences and Lech's conjecture
• Betti numbers of graded modules and cohomology of vector bundles
• On the bettinumbers of finite pure and linear resolutions
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Resultants and Chow forms via exterior syzygies
• A Kleiman–Bertini theorem for sheaf tensor products
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