Hilbert series and obstructions to asymptotic semistability

S. Kobayashi, Transformation groups in differential geometry, Springer Verlag, Berlin-Heidelberg-New York, 1972

1972

Earlier work this paper cites.

S.-T. Yau : On Calabi’s conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA, 74

1977

Earlier work this paper cites.

V. V. Batyrev, Toric Fano threefolds, Izv. Skad. Nauk SSSR Ser. Mat. 45 (1981), no. 4, 704–717

1981

Earlier work this paper cites.

A. Futaki : An obstruction to the existence of Einstein Kähler metrics, Invent. Math. 73

1983

Earlier work this paper cites.

A. Futaki : On compact Kähler manifolds of constant scalar curvature, Proc. Japan Acad., Ser. A, 59

1983

Earlier work this paper cites.

E. Calabi : Extremal Kähler metrics II, Differential geometry and complex analysis, (I. Chavel and H.M. Farkas eds.), 95-114, Springer-Verlag, Berline-Heidelberg-New York, (1985)

1985

Earlier work this paper cites.

A. Futaki and S. Morita : Invariant polynomials of the automorphism group of a compact complex manifold

1985

Earlier work this paper cites.

M. Brion, Points entiers dans les polyèdres convexes, Ann. Sci. École Norm. Sup. (4), 21, 1988, 653–663

1988

Earlier work this paper cites.

A. Futaki : Kähler-Einstein metrics and integral invariants, Lecture Notes in Math., vol.1314, Springer-Verlag, Berline-Heidelberg-New York, (1988)

1988

Earlier work this paper cites.

T. Oda : Convex bodies and algebraic geometry, Springer-Verlag , Berline-Heidelberg-New York, 1988

1988

Earlier work this paper cites.

S.K. Donaldson and P.B. Kronheimer : The geometry of four manifolds, Oxford Mathematical Monographs, Claren Press, Oxford, 1990

1990

Earlier work this paper cites.

W. Fulton : Introduction to Toric Varieties. Number 131, in Annals of Mathematics Studies, Priceton University Press, Princeton, New Jersey, 1993

1993

Earlier work this paper cites.

C. LeBrun and R.S. Simanca : Extremal Kähler metrics and complex deformation theory, Geom. Func. Analysis, 4 (1994) 298–336

1994

Cited alongside, same era.

A. V. S. Infirri, Lefschetz fixed-point theorem and lattice points in convex polytopes, Adv. Math. 116 (1995), no. 1, 55–81

1995

Cited alongside, same era.

S. Zhang : Heights and reductions of semi-stable varieties, Compositio Math. 104(1996), 77-105

Original

1996

Cited alongside, same era.

V.V. Batyrev, On the classification of toric Fano 4 4 -folds., J. Math. Sci. 94, (1999) 1021–1050

1999

Cited alongside, same era.

V.V. Batyrev and E.N. Selivanova : Einstein-Kähler metrics on symmetric toric Fano manifolds, J. Reine Angew. Math. 512 (1999) 225–236

1999

Cited alongside, same era.

T. Mabuchi and Y. Nakagawa : The Bando-Calabi-Futaki character as an obstruction to asymptotic semistability, Math. Ann., 324(2002), 187-193; Errutum, Math. Ann., 330(2004), 627-630

2004

Later among the works it cites.

Y. Sano : On stability-criterion of complete intersections, J. Geom. Anal., 14(2004), 533-544

2004

Later among the works it cites.

X.J. Wang and X. Zhu : Kähler-Ricci solitons on toric manifolds with positive first Chern class, Adv. Math. 188, No.1 (2004) 87–103

2004

Later among the works it cites.

E. Miller and B. Sturmfels : Combinatorial commutative algebra, GTM 227, Springer-Verlag, New York, 2005

2005

Later among the works it cites.

D. Martelli, J. Sparks and S.-T. Yau : The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds, Comm. Math. Phys., 268

2006

Later among the works it cites.