4 citations · 7 across the 3 of their papers we have counts for
4 papers
Universal Lex Ideal Approximations of Extended Hilbert Functions and Hamilton Numbers
Tigran Ananyan, Melvin Hochster
Let denote the polynomial ring in variables over a specified field . We consider all of these rings simultaneously, and in each use lexicographic (le…
Strength conditions, small subalgebras, and Stillman bounds in degree
Tigran Ananyan, Melvin Hochster
In [2], the authors prove Stillman's conjecture in all characteristics and all degrees by showing that, independent of the algebraically closed field or the number of variables…
Small Subalgebras of Polynomial Rings and Stillman's Conjecture
Tigran Ananyan, Melvin Hochster
We show that in a polynomial ring in variables over an algebraically closed field of arbitrary characteristic, any -subalgebra of generated over by at most $…
Ideals Generated by Quadratic Polynomials
Tigran Ananyan, Melvin Hochster
Let be a polynomial ring in variables over an arbitrary field and let be an ideal of generated by polynomials of degree at most 2. We show that there is a b…