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FLEXIBILITY OF AFFINE CONES OVER SINGULAR DEL PEZZO SURFACES WITH DEGREE 4

원준영
영남수학회 (Youngnam Mathematical Society)|2022.05|East Asian Mathematical Journal|제38권 제3호|pp. 321-329

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참고문헌

키워드

del Pezzo surfacealpha invariantcylinder.
주제분류수학

초록

For an ample divisor A of birational type on a singular del Pezzo surface S of degree 4 with A1-singularity, we show that the affine cone of S defined by A is flexible

Abstract

For an ample divisor A of birational type on a singular del Pezzo surface S of degree 4 with A1-singularity, we show that the affine cone of S defined by A is flexible

참고문헌 (14)

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  3. Bogomolov, F., "Birational Geometry, Rational Curves, and Arithmetic", pp.77~92 (2013), Springer
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  5. I. Cheltsov, "Cylinders in singular del Pezzo surfaces", Compos. Math, 152(6), pp.1198~1224 (2016)
  6. I. Cheltsov, "Cylinders in del Pezzo surfaces", Int. Math. Res. Notices. Int. Math. Res. Not. IMRN, (4), pp.1179~1230 (2017)
  7. I.V. Dolgachev, "Classical Algebraic Geometry: A Modern View" (2012), Cambridge University Press
  8. R. Hartshorne, "Algebraic Geometry" (1977), Springer-Verlag
  9. T. Kishimoto, "Affine Algebraic Geometry", pp.123~163 (2011), Amer. Math. Soc
  10. T. Kishimoto, "Unipotent Group Actions on Del Pezzo Cones, Algebr. Geom", arXiv:1212.4479, 11~
  11. R. Lazarsfeld, "Positivity in Algebraic Geometry I. Classical setting: line bundles and linear series" (2004), Springer
  12. Yu. I. Manin, "Cubic forms: algebra, geometry, arithmetic" (1974), North–Holland
  13. A. Yu. Perepechko, "Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5", Funct. Anal. Appl, 47(4), pp.287~289 (2013)
  14. J. Park, "Flexible affine cones over del Pezzo surfaces of degree 4", Eur. J. Math, 2(1), pp.304~318 (2016)

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