|
|
|
|
| LEADER |
01157 am a22001693u 4500 |
| 001 |
107775 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Kleiman, Steven L.
|e author
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
|
| 100 |
1 |
0 |
|a Kleiman, Steven L.
|e contributor
|
| 245 |
0 |
0 |
|a Two formulas for the BR multiplicity
|
| 260 |
|
|
|b Springer-Verlag,
|c 2017-03-30T14:49:58Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/107775
|
| 520 |
|
|
|a We prove a projection formula, expressing a relative Buchsbaum-Rim multiplicity in terms of corresponding ones over a module-finite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. Our proof is simple in spirit: after the multiplicities are expressed as sums of intersection numbers, the desired formula results from two projection formulas, one for cycles and another for Chern classes. Similarly, but without using any projection formula, we prove an expansion formula, generalizing the additivity formula for the ordinary multiplicity, a case of the associativity formula.
|
| 546 |
|
|
|a en_US
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t ANNALI DELL'UNIVERSITA' DI FERRARA
|
