T -SYMMETRICAL TENSOR DIFFERENTIAL FORMS WITH LOGARITHMIC POLES ALONG A HYPERSURFACE SECTION
暂无分享,去创建一个
. The aim of this paper is to investigate T -symmetrical tensor differ-ential forms with logarithmic poles on the projective space P N and on complete intersections Y ⊂ P N . Let H ⊂ P N ,N ≥ 2, be a nonsingular irreducible algebraic hypersurface which implies that D = H is a prime divisor in P N . The main goal of this paper is the study of the locally free sheaves Ω T P N (log D ) and the calculation of their cohomology groups. In addition, for complete intersections Y ⊂ P N we give some vanishing theorems and recursion formulas.
[1] P. Brückmann. The Hilbert polynomial of the sheaf ΩT of germs of T-symmetrical tensor differential forms on complete intersections , 1997 .
[2] T. Willmore. Algebraic Geometry , 1973, Nature.
[3] P. Brückmann. Zur Kohomologie von vollständigen Durchschnitten mit Koeffizienten in der Garbe der Keime der Differentialformen II , 1976 .
[4] P. Brückmann. Zur Kohomologie von projektiven Hyperflächen , 1974 .