2000 character limit reached
Monomial ideals with tiny squares
Published 23 Jan 2018 in math.AC and math.CO | (1801.07672v1)
Abstract: Let $I \subset K[x,y]$ be a monomial ideal. How small can $\mu(I2)$ be in terms of $\mu(I)$? It has been expected that the inequality $\mu(I2) > \mu(I)$ should hold whenever $\mu(I) \ge 2$. Here we disprove this expectation and provide a somewhat surprising answer to the above question.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
