Lim Ulrich sequences and Boij-Söderberg cones

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

doi:10.1017/fms.2023.108

Forum of Mathematics, Sigma (Jan 2023)

Lim Ulrich sequences and Boij-Söderberg cones

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

Affiliations

Srikanth B. Iyengar: ORCiD; Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, UT 84112, U.S.A.; E-mail:
Linquan Ma: ORCiD; Department of Mathematics, Purdue University, 150 N. University street, W. Lafayette, IN 47907, U.S.A.; E-mail:
Mark E. Walker: ORCiD; Department of Mathematics, University of Nebraska, 210 Avery Hall, 1144 T St, Lincoln, NE 68588, U.S.A.; E-mail:

DOI: https://doi.org/10.1017/fms.2023.108
Journal volume & issue: Vol. 11

Abstract

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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 over polynomial rings, to all finitely generated graded rings admitting linear Noether normalizations. The key new input is the existence of lim Ulrich sequences of graded modules over such rings.

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

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