algebraic geometry 1characteristic p 1graded rings 1hilbert-kunz multiplicity 1transcendental numbers 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AC2026
Transcendental Hilbert-Kunz Multiplicities
Sudipta Das, Stephen Landsittel, Vinh Anh Pham
The authors construct a normal graded domain over any uncountable algebraically closed field of characteristic p>2 together with a homogeneous primary ideal whose Hilbert‑Kunz mult…
math.AC2026
Transcendental Epsilon Multiplicity via Divisor Volumes
Sudipta Das, Stephen Landsittel, Vinh Anh Pham
We prove that epsilon multiplicity can take transcendental values. The main structural result is a one-ideal formula for section rings: under natural positivity hypotheses, the eps…
math.AC2025
Multiplicity Volume formula and Newton non-degenerate ideals in regular local rings
TÃ i Huy HÃ, 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…