Order Analogues and Betti Polynomials
نویسندگان
چکیده
منابع مشابه
Betti Bounds of Polynomials
We initiate a classification of polynomials f : C → C of degree d having the top Betti number of the general fibre close to the maximum. We find a range in which the polynomial must have isolated singularities and another range where it may have at most one line singularity of general Morse transversal type. Our method uses deformations into particular pencils with non-isolated singularities. 2...
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For an ideal I in a regular local ring or a graded ideal I in the polynomial ring we study the limiting behavior of βi(S/I ) = dimK Tor S i (S/m, S/I ) as k goes to infinity. By Kodiyalam’s result it is known that βi(S/I ) is a polynomial for large k. We call these polynomials the Kodiyalam polynomials and encode the limiting behavior in their generating polynomial. It is shown that the limitin...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1996
ISSN: 0001-8708
DOI: 10.1006/aima.1996.0047