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math.AC2020
Koszul multi-Rees algebras of principal -Borel Ideals
Michael DiPasquale, Babak Jabbar Nezhad
Given a monomial in a polynomial ring and a subset of the variables of the polynomial ring, the principal -Borel ideal generated by is the ideal generated by all mon…
math.AC2020
On resurgence via asymptotic resurgence
Michael DiPasquale, Ben Drabkin
The resurgence and asymptotic resurgence of an ideal in a polynomial ring are two statistics which measure the relationship between its regular and symbolic powers. We address two…