On complete intersections and connectedness
Sertöz, Ali Sinan
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In this thesis, we study the relation between connectedness and complete intersections. We describe the concept of connectedness in codimension k. We also study the basic facts about Cohen-Macaulay rings, and give some applications about these rings and complete intersections. Finally, we show that certain rational curves of degree ≥ 4 in the projective 3-space are settheoretical complete intersections in all prime characteristics p > 0.
KeywordsConnectedness in codimension k
settheoretical and ideal-theoretical complete intersections
characteristic p > 0