T. Krasiński

activity

19982020

most citedAutonomous push-down automaton built on DNA

16 citations · 26 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.AG2020

The Łojasiewicz exponent of non-degenerate surface singularities

S. Brzostowski, T. Krasiński, G. Oleksik

Let $f$ be an isolated singularity at the origin of $C^{n}$ . One of many invariants that can be associated with $f$ is its Łojasiewicz exponent $L_{0} (f)$ , which me…

math.AG2018

Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate families

Tadeusz Krasiński, Justyna Walewska

The jump of the Milnor number of an isolated singularity $f_{0}$ is the minimal non-zero difference between the Milnor numbers of $f_{0}$ and one of its deformation $(f_{s}) .$ In t…

math.AG2014

Milnor numbers in deformations of homogeneous singularities

Szymon Brzostowski, Tadeusz Krasinski, Justyna Walewska

Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous sin…

math.AG2013

The jump of the Milnor number in the X_9 singularity class

Szymon Brzostowski, Tadeusz Krasinski

The jump of the Milnor number of an isolated singularity $f_{0}$ is the minimal non-zero difference between the Milnor numbers of $f_{0}$ and one of its deformations $(f_{s})) .$ We prove…

math.AG2002

The gradient of a polynomial at infinity

Jacek Chadzynski, Tadeusz Krasinski

The paper gives a full description of the growth of the gradient of a polynomial in two complex variables at infinity near any fiber of the polynomial

math.AG2000

The join of algebraic curves

T. Krasinski

Let X,Y be algebraic curves in P^n over C. We give an effective description of the join J(X,Y)\in P^n of X and Y in terms of local parametrizations of X and Y.