Curves on a nonsingular Del Pezzo Surface in P⁴_k

2004/10/25 by Elena Drozd, Drozd, Elena
Mathematics · #14J26 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #math.AG #msc:14J26

paper · pdf · doi:10.48550/arxiv.math/0410518

10 pages

arxiv created 2004/10/25 · openalex publication_date 2004/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 P⁴_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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