논문KCI 등재
The Harbourne-Hirschowitz condition and the anticanonical orthogonal property for surfaces
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In this paper we give the first steps toward the study of the Harbourne-Hirschowitz condition and the anticanonical orthogonal property for regular surfaces. To do so, we consider the Kodaira dimension of the surfaces and study the cases based on the Enriques-Kodaira classification.
Abstract
In this paper we give the first steps toward the study of the Harbourne-Hirschowitz condition and the anticanonical orthogonal property for regular surfaces. To do so, we consider the Kodaira dimension of the surfaces and study the cases based on the Enriques-Kodaira classification.
참고문헌 (20)
- M. Artebani, "Cox rings of extremal rational elliptic surfaces", Trans. Amer. Math. Soc, 368(3), pp.1735~1757 (2016)[DOI]
- L. Badescu, "Algebraic Surfaces" (2001), Springer-Verlag
- W. P. Barth, "Compact complex surfaces" (2004), Springer-Verlag
- A. Beauville, "Complex Algebraic Surfaces" (1996), Cambridge University Press
- N. Bin, "Some examples of algebraic surfaces with canonical map of degree 20", C. R. Math. Acad. Sci. Paris, 359, pp.1145~1153 (2021)
- E. Bombieri, "Canonical models of surfaces of general type", Etudes Sci. Publ. Math, (42), pp.171~219 (1973)
- I. V. Dolgachev, "A brief introduction to Enriques surfaces, in Development of moduli theory—Kyoto 2013", Adv. Stud. Pure Math, 69, pp.1~32 (2016)[DOI]
- J. B. Frıas-Medina, "Harbourne-Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components", Int. J. Math, 29(12), pp.19~ (2018)[DOI]
- J. B. Fr´ıas-Medina, "The effective monoids of the blow-ups of Hirzebruch surfaces at points in general position", Rend. Circ. Mat. Palermo, 70(1), pp.167~197 (2021)[DOI]
- R. Friedman, "and Seiberg-Witten invariants", Comm. Anal. Geom, 7(3), pp.451~495 (1999)[DOI]
- A. Gimigliano, "Our thin knowledge of fat points" (1989), Queen’s Univ
- B. Harbourne, "The geometry of rational surfaces and Hilbert functions of points in the plane", Proceedings of the 1984 Vancouver conference in algebraic geometry, pp.95~111 (1986)
- B. Harbourne, "Rational surfaces with K2 > 0", Proc. Amer. Math. Soc, 124(3), pp.727~733 (1996)[DOI]
- B. Harbourne, "Anticanonical rational surfaces", Trans. Amer. Math. Soc, 349(3), pp.1191~1208 (1997)[DOI]
- A. Hirschowitz, "Une conjecture pour la cohomologie des diviseurs sur les surfaces rationnelles g´en´eriques", J. Reine Angew. Math, 397, pp.208~213 (1989)[DOI]
- A. Hochenegger, "Rigid divisors on surfaces", Izv. Math, 84(1), pp.163~206 (2020)[DOI]
- D. Huybrechts, "Lectures on K3 surfaces" (2016), Cambridge University Press
- A. L. Knutsen, "A sharp vanishing theorem for line bundles on K3or Enriques surfaces", Proc. Amer. Math. Soc, 135(11), pp.3495~3498 (2007)[DOI]
- D. Mumford, "Lectures on curves on an algebraic surface", Annals ofMathematics Studies, (59) (1966), Princeton University Press
- B. Segre, "Alcune questioni su insiemi finiti di punti in geometria algebrica, Univ. e Politec", Torino Rend. Sem. Mat, 20, pp.67~85 (1961)
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