Portal de Periódicos da CAPES

Residues and Zero-Cycles on Algebraic Varieties

1978; Princeton University; Volume: 108; Issue: 3 Linguagem: Inglês

10.2307/1971184

1939-8980

Phillip Griffiths, Joseph Harris,

Polynomial and algebraic computation

I. Residue theorem and interpretations . 466 a) Local properties of residues 466 b) The residue theorem and a converse 467 c) Cayley-Bacharach property and multisecant varieties . .. 470 d) Points and line bundles on curves . 471 e) Points and rank-two bundles on surfaces . 474 II. Residues and the osculating sequence . 476 a) The osculating sequence 476 b) The fundamental relation 478 c) The fundamental bound for complete intersections ...... 480 d) The osculating sequence for curves 484 e) The osculating sequence for surfaces 486 III. Inverting the residue theorem 490 a) Complete intersections on surfaces 490 b) Structure of extremal varieties, i) 494 c) Structure of extremal varieties, ii) 496 Appendix: Some observations and open problems ... 502