93 citations · 142 across the 18 of their papers we have counts for
24 papers
On some properties of the Łojasiewicz exponent
Christophe Eyral, Tadeusz Mostowski, Piotr Pragacz
In this note, we study the behaviour of the Lojasiewicz exponent under hyperplane sections and its relation to the order of tangency.
Order of tangency between manifolds
Wojciech Domitrz, Piotr Mormul, Piotr Pragacz
We study the order of tangency between two manifolds of same dimension and give that notion three quite different geometric interpretations. Related aspects of the order of tangenc…
Flag bundles, Segre polynomials and push-forwards
Lionel Darondeau, Piotr Pragacz
In this note, we give Gysin formulas for partial flag bundles for the classical groups. We then give Gysin formulas for Schubert varieties in Grassmann bundles, including isotropic…
On a certain family of U(b)-modules
Piotr Pragacz
We report on results of Kraśkiewicz and the author, and Watanabe on KP modules materializing Schubert polynomials, and filtrations having KP modules as their subquotients. We discu…
Gysin maps, duality and Schubert classes
Lionel Darondeau, Piotr Pragacz
We establish a Gysin formula for Schubert bundles and a strong version of the duality theorem in Schubert calculus on Grassmann bundles. We then combine them to compute the fundame…
Universal Gysin formulas for flag bundles
Lionel Darondeau, Piotr Pragacz
We give push-forward formulas for all flag bundles of types A, B, C, D. The formulas (and also the proofs) involve only Segre classes of the original vector bundles and characteris…