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math.AC2024
Lim Ulrich sequences and Boij-Söderberg cones
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes ove…
math.AC2024
The Total Rank Conjecture in Characteristic Two
Keller VandeBogert, Mark E. Walker
The Total Rank Conjecture is a coarser version of the Buchsbaum-Eisenbud-Horrocks conjecture which, loosely stated, predicts that modules with large annihilators must also have ``l…