On the regularity and defect sequence of monomial and binomial ideals
Keivan Borna, Abolfazl Mohajer (2019)
Czechoslovak Mathematical Journal
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When is a polynomial ring or more generally a standard graded algebra over a field , with homogeneous maximal ideal , it is known that for an ideal of , the regularity of powers of becomes eventually a linear function, i.e., for and some integers , . This motivates writing for every . The sequence , called the of the ideal , is the subject of much research and its nature is still widely unexplored. We know that is eventually constant. In this article, after proving...