| Abstrakt: |
Let us consider a non-singular algebraic variety V ( d≥2) in a projective space S, over some algebraically closed ground field k. Assume V to be endowed with the Zariski topology and let L( D) be the sheaf associated to a divisor D of V. The dimension of the t-th cohomology group of V with coefficients in L ( D) will be denoted by $$\mathop h\nolimits_{V_d }^t [D]$$ . When t>0, then $$\mathop h\nolimits_{V_d }^t [D]$$ is said to be the t-th irregularity index of divisor D. The relative integer, (0≤ j
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