Algebraic surfaces holomorphically dominable by ℂ 2

Buzzard, Gregery T.; Lu, Steven S. Y.

doi:10.1007/s002220050021

Cited by 47 publications

(56 citation statements)

References 34 publications

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“…By the results of Buzzard and Lu ( [4]) there is a holomorphic map F : C 2 → X with dense image if X is an elliptic K3-surface or a Kummer surface. Combined with prop.…”

Section: Entire Curves In Projectivementioning

confidence: 98%

Non-degenerate maps and sets

Winkelmann¹

2004

Math. Z.

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“…By the results of Buzzard and Lu ( [4]) there is a holomorphic map F : C 2 → X with dense image if X is an elliptic K3-surface or a Kummer surface. Combined with prop.…”

Section: Entire Curves In Projectivementioning

confidence: 98%

Non-degenerate maps and sets

Winkelmann¹

2004

Math. Z.

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“…Kodaira's table of singular elliptic fibers]). It follows that the canonical divisor K M is the pullback of the orbifold canonical Q-divisor K Y ∂ of the base, see for example [BL00]. This means that K Y ∂ is ample and that Y ∂ is the quotient of the unit disk by a Fuchsian group.…”

Section: Structural Decomposition Theorem In Dimension Twomentioning

confidence: 99%

Kähler manifolds of semi-negative holomorphic sectional curvature

Heier¹,

Lu²,

Wong³

2016

J. Differential Geom.

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Abstract. In an earlier work, we investigated some consequences of the existence of a Kähler metric of negative holomorphic sectional curvature on a projective manifold. In the present work, we extend our results to the case of semi-negative (i.e., non-positive) holomorphic sectional curvature. In doing so, we define a new invariant that records the largest codimension of maximal subspaces in the tangent spaces on which the holomorphic sectional curvature vanishes. Using this invariant, we establish lower bounds for the nef dimension and, under certain additional assumptions, for the Kodaira dimension of the manifold. In dimension two, a precise structure theorem is obtained.

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“…, m). The discrete set Γ = ∪ m j=1 (Γ + z j ) ⊂ C p is tame according to Proposition 4.1 in [5]. (The cited proposition is stated for p = 2, but the proof remains valid also for p > 2.)…”

Section: Corollary 15 Each Of the Following Manifolds Enjoys The Okmentioning

confidence: 99%