Author

V. J. Jorge Pérez

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Preprint Oct 2026

Finite holomorphic pullbacks, Segre numbers, and generic L\^e numbers

We study numerical comparisons for hypersurface singularities under finite holomorphic maps between smooth germs. We retain Jelonek's topological proof of the Milnor-number inequality in the isolated case and give an algebraic proof using a cyclic factorization, Brieskorn modules, and trace. For a reduced divisor-theor...

Z. Jelonek, V. J. Jorge Pérez, R. A. D. dos Santos · 0 citations

Preprint Sep 2026

Generalized mixed sequence multiplicity

Let $(R,\mathfrak m,k)$ be a Noetherian local ring, let $M$ be a nonzero finitely generated $R$-module, and let $J_1,\ldots,J_s$ be arbitrary proper ideals of positive height on $M$. We introduce the notion of directional mixed multiplicities, obtained from the multigraded quotients $J^{\mathbf u}M/J^{\mathbf u+\mathbf...

T. Freitas, V. J. Jorge Pérez · 0 citations