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math.AC2025
Multiplicity Volume formula and Newton non-degenerate ideals in regular local rings
Tài Huy Hà, Thai Thanh Nguyen, Vinh Anh Pham
We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We…
math.AC2023
Three invariants of geometrically vertex decomposable ideals
Thai Thanh Nguyen, Jenna Rajchgot, Adam Van Tuyl
We study three invariants of geometrically vertex decomposable ideals: the Castelnuovo-Mumford regularity, the multiplicity, and the -invariant. We show that these invariants ca…