Curves on a nonsingular Del Pezzo Surface in $P^4_k$

Mathematics – Algebraic Geometry

Scientific paper

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10 pages

Scientific paper

Classification of curves in a projective space occupies minds of many
mathematicians. First step in doing so is classification of curves on a given
surface. This brings us to consideration of the nonsingular Del Pezzo Surface
in $P^4_k.$ We describe conditions for a divisor to be very ample and condition
for a divisor class to contain an irreducible curve.

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