본문 바로가기
KERD
논문KCI 등재

Alpha Invariant along Curves for General Polarizations of Del Pezzo Surfaces of Degree 2

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 2, we completely compute alpha invariant along curves when the ample divisor A is birational type.

Abstract

For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 2, we completely compute alpha invariant along curves when the ample divisor A is birational type.

참고문헌 (15)

  1. I. Cheltsov, "Log canonical thresholds of del Pezzo surfaces", Geom. Funct. Anal, 11, pp.1118~1144 (2008)
  2. I. Cheltsov, "On a conjecture of Hong and Won. Geometric methods in physics XXXV, 155174, Trends Math", pp.2018, Birkhuser
  3. I. Cheltsov, "Stable polarized del Pezzo surfaces", Int. Math. Res. Not. IMRN, (18), pp.5477~5505 (2020)
  4. X. -X. Chen, "Kähler-Einstein metrics on Fano manifolds, I:approximation of metrics with cone singularities", J. Amer. Math. Soc, 28(1), pp.183~197 (2015)
  5. X. -X. Chen, "Kähler-Einstein metrics on Fano manifolds, II:limits with cone angle less than 2π", J. Amer. Math. Soc, 28(1), pp.199~234 (2015)
  6. X. -X. Chen, "Kähler-Einstein metrics on Fano manifolds, III:limits as cone angle approaches 2π and completion of the main proof", J. Amer. Math. Soc, 28(1), pp.235~278 (2015)
  7. I. Cheltsov, "Cylinders in del Pezzo surfaces", Int. Math. Res. Notices. Int. Math. Res. Not. IMRN, (4) (2017)
  8. R. Dervan, "Alpha invariants and K-stability for general polarisations of Fano varieties", Int. Math. Res. Notices, 16, pp.7162~7189 (2015)
  9. K. Hong, "Alpha invariant for general polarizations of del Pezzo surfaces of degree 1", Math. Nachr, 290(11-12), pp.1689~1700 (2017)
  10. J. Kollár, "Flips and abundance for algebraic threefolds", Astérisque, 211 (1992)
  11. Y. Odaka, "Alpha invariant and K-stability of Q-Fano varieties", Adv. Math, 229(5), pp.2818~2834 (2021)
  12. J. Park, "Flexible affine cones over del Pezzo surfaces of degree 4", European J. Math, 2(1), pp.304~318 (2016)
  13. D. Testa, "Cox rings of degree one del Pezzo surfaces", Algebra Number Theory, 3(7), pp.729~761 (2009)
  14. G. Tian, "On Kähler-Einstein metrics on certain Kähler manifolds with c1(M) > 0", Invent. Math, 89, pp.225~246 (1987)
  15. G. Tian, "K-Stability and Kähler-Einstein Metrics", Comm. Pure Appl. Math, 68(7), pp.1085~1156

관련 논문AI추천

이 간행물의 다른 논문 (6건)