60 citations · 291 across the 64 of their papers we have counts for
Showing 2023 · math.ACShow all
3 papers · 2 filters
math.AC2023★ 1 cited
Periodicity of ideals of minors in free resolutions
Michael K. Brown, Hailong Dao, Prashanth Sridhar
We study the asymptotic behavior of the ideals of minors in minimal free resolutions over local rings. In particular, we prove that such ideals are eventually 2-periodic over compl…
math.AC2023
Counting geometric branches via the Frobenius map and -nilpotent singularities
Hailong Dao, Kyle Maddox, Vaibhav Pandey
We give an explicit formula to count the number of geometric branches of a curve in positive characteristic using the theory of tight closure. This formula readily shows that the p…
math.AC2023
Elias Ideals
Hailong Dao
Let be a one dimensional local Cohen-Macaulay ring. An -primary ideal of is Elias if the types of and of are equal. Canonical and…