On the Betti numbers of semialgebraic sets defined by few quadratic inequalities
β Scribed by Alexander I. Barvinok
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- French
- Weight
- 167 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the known algorithms used to re-write any first order quantifierfree formula over an algebraically closed field into its normal disjunctive form are essentially optimal. This result follows from an estimate of the number of sets definable by equalities and inequalities of fixed polynomi
This paper skws that for any su Dset S of vertices of the m-dimensional hypercube, L!!d(S) G P-1 \* ~%e.-e ind(SS is the rtMxnwm number of tinear inequz!ities needed to define S. I:'urthermare, for any k in the range 1 c k r? 2n-1, there is an S with ind(S) = k, with the defining inequalities taken
Unfortunately only after the article went to press, the authors discovered a serious error in Section 5, for which they apologize. The error does not affect results in other sections. Moreover, with only minor modifications, the major results of Section 5 still hold, although several of the proofs t