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math.AG2021
Effective Bertini theorem and formulas for multiplicity and the local Łojasiewicz exponent
Tomasz Rodak, Adam Różycki, Stanisław Spodzieja
The classical Bertini theorem on generic intersection of an algebraic set with hyperplanes states the following: \emph{Let X be a nonsingular closed subvariety of ,…
math.AG2018
Lê numbers and Newton diagram
Christophe Eyral, Grzegorz Oleksik, Adam Różycki
We give an algorithm to compute the Lê numbers of (the germ of) a Newton non-degenerate complex analytic function in terms of c…