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45
LOG CANONICAL THRESHOLDS OF DEL PEZZO SURFACES
, 2008
"... dedicated to Yuri Manin on his seventieth birthday ..."
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Cited by 41 (24 self)
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dedicated to Yuri Manin on his seventieth birthday
Examples of nonsymmetric KählerEinstein toric Fano manifolds
"... Abstract. In this note we report on examples of 7 and 8dimensional toric Fano manifolds that are not symmetric and still admit a KählerEinstein metric. This answers a question first posed by V.V. Batyrev and E. Selivanova. The examples were found in the classification of ≤ 8dimensional toric Fan ..."
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Cited by 11 (1 self)
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Abstract. In this note we report on examples of 7 and 8dimensional toric Fano manifolds that are not symmetric and still admit a KählerEinstein metric. This answers a question first posed by V.V. Batyrev and E. Selivanova. The examples were found in the classification of ≤ 8dimensional toric Fano manifolds obtained by M. Øbro. We also discuss related open questions and conjectures. 1.
KählerEinstein metrics emerging from free fermions and statistical mechanics, JHEP
, 2011
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On the αInvariants of Cubic Surfaces with Eckardt Points
, 902
"... In this paper, we show that the αm,2invariant (introduced by Tian in [21] and [22]) of a smooth cubic surface with Eckardt points is strictly bigger than 2/3. This can be used to simplify Tian’s original proof of the existence of KählerEinstein metrics on such manifolds. 1 ..."
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Cited by 7 (0 self)
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In this paper, we show that the αm,2invariant (introduced by Tian in [21] and [22]) of a smooth cubic surface with Eckardt points is strictly bigger than 2/3. This can be used to simplify Tian’s original proof of the existence of KählerEinstein metrics on such manifolds. 1
EXCEPTIONAL DEL PEZZO HYPERSURFACES
, 2009
"... We compute global log canonical thresholds of a large class of quasismooth wellformed del Pezzo weighted hypersurfaces in P(a1, a2, a3, a4). As a corollary we obtain the existence of orbifold Kähler–Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth well ..."
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Cited by 7 (2 self)
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We compute global log canonical thresholds of a large class of quasismooth wellformed del Pezzo weighted hypersurfaces in P(a1, a2, a3, a4). As a corollary we obtain the existence of orbifold Kähler–Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth wellformed del Pezzo weighted hypersurfaces in P(a1, a2, a3, a4).
On exceptional quotient singularities
, 2009
"... We study fourdimensional and fivedimensional exceptional quotient singularities. ..."
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Cited by 5 (3 self)
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We study fourdimensional and fivedimensional exceptional quotient singularities.