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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.
math.AG1998
A set on which the Lojasieewicz exponent at infinity is attained
J. Chadzynski, T. Krasinski
We show that for a polynomial mapping F = (f_1,...,f_m): C^n \to C^m the Lojasiewicz exponent at infinity of F is attained on the set {z \in C^n : f_1(z)...f_m(z) = 0}