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ANTI-FLIPS OF THE BLOW-UPS OF THE PROJECTIVE SPACES AT TORUS INVARIANT POINTS

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초록

We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.

Abstract

We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.

참고문헌 (12)

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  2. V. V. Batyrev, "On the classification of toric Fano 4-folds", Journal of Mathematical Sciences, 94(1), pp.1021~1050 (1999), Springer Science and Business Media LLC[DOI]
  3. L. Bonavero, "Toric varieties whose blow-up at a point is Fano", Tohoku Math. J, 54(2), pp.593~597 (2002)
  4. David Cox, "Toric Varieties", Graduate Studies in Mathematics (2011), American Mathematical Society[DOI]
  5. Günter Ewald, "On the classification of toric fano varieties", Discrete & Computational Geometry, 3(1), pp.49~54 (1988), Springer Science and Business Media LLC[DOI]
  6. Osamu Fujino, "Introduction to the toric Mori theory", Michigan Mathematical Journal, 52(3) (2004), Michigan Mathematical Journal[DOI]
  7. W. Fulton, "Annals of Mathematics Studies", pp.131~ (1993), Princeton Univ. Press
  8. K. Matsuki, "Introduction to the Mori Program, Universitext" (2002), Springer
  9. T. Oda, "Ergebnisse der Mathematik und ihrer Grenzgebiete (3)" (1988), Springer
  10. M. Reid, "Arithmetic and geometry, Vol. II", pp.395~418 (1983), Progr. Math
  11. Hiroshi Sato, "Toward the classification of higher-dimensional toric Fano varieties", Tohoku Mathematical Journal, 52(3) (2000), Mathematical Institute, Tohoku University[DOI]
  12. V. E. Voskresenskij, "Toroidal Fano varieties and root systems", Math. USSR-Izv, 24, pp.221~244 (1985)

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