3 papers
math.AC2025
Essential graded algebra over polynomial rings with real exponents
Ezra Miller
The geometric and algebraic theory of monomial ideals and multigraded modules is initiated over real-exponent polynomial rings and, more generally, monoid algebras for real polyhed…
math.CO2024
Fibers of maps to totally nonnegative spaces
James F. Davis, Patricia Hersh, Ezra Miller
This paper undertakes a study of the structure of the fibers of the Chevalley exponentiation maps . The fibers of these maps encode the…
math.AC2024
Minimal resolutions of lattice ideals
Yupeng Li, Ezra Miller, Erika Ordog
A canonical minimal free resolution of an arbitrary co-artinian lattice ideal over the polynomial ring is constructed over any field whose characteristic is 0 or any but finitely m…