Seshadri constants on ruled surfaces: the rational and the elliptic\n cases

2005/03/14 by Luis Fuentes García, Garcia, Luis Fuentes
Physics and Astronomy · #14C20 #14J26 #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/0503253

openalex publication_date 2005/03/14 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We study the Seshadri constants on geometrically ruled surfaces. The unstable\ncase is completely solved. Moreover, we give some bounds for the stable case.\nWe apply these results to compute the Seshadri constant of the rational and\nelliptic ruled surfaces. Both cases are completely determined. The elliptic\ncase provides an interesting picture of how particular is the behavior of the\nSeshadri constants.\n

Citations

• Vector Bundles Over an Elliptic Curve

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