Betti numbers for connected sums of graded Gorenstein Artinian algebras

DOI10.1090/tran/9286MaRDI QIDQ6664335

Nasrin Altafi, Junzo Watanabe, Federico Galetto, Rosa Maria Miró-Roig, Uwe Nagel, Alexandra Seceleanu, Roberta Di Gennaro, Sean Grate

Publication date: 16 January 2025

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Embeddings of canonical modules and resolutions of connected sums
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• Connected sums of Gorenstein local rings
• Monomial and toric ideals associated to Ferrers graphs
• Stretched Gorenstein Rings
• Minimal free resolutions of fiber products

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