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math.AC2019
Multiplicity of the saturated special fiber ring of height three Gorenstein ideals
Yairon Cid-Ruiz, Vivek Mukundan
Let be a polynomial ring over a field and be a Gorenstein ideal of height three that is minimally generated by homogeneous polynomials of the same degree. We comp…
math.AC2019
Noetherian operators, primary submodules and symbolic powers
Yairon Cid-Ruiz
We give an algebraic and self-contained proof of the existence of the so-called Noetherian operators for primary submodules over general classes of Noetherian commutative rings. Th…
math.AG2019
Degree of rational maps via specialization
Yairon Cid-Ruiz, Aron Simis
One considers the behavior of the degree of a rational map under specialization of the coefficients of the defining linear system. The method rests on the classical idea of Kroneck…