Compact complex surfaces.

By W. Barth. 2003

2,185 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/82f3b39e9b054251293dba370e5ebadfc99957ba

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In Computer Graphics and Computer-Aided Design

Citations in the corpus

Almost complex 4-manifolds with vanishing first Chern class (2006, neutral): “G T ] 2 7 Ju l 2”
GUTs in Type IIB Orientifold Compactifications (2008, methodology): “In fact, using that D5 intersects the O7-plane in a genus 1 curve and that all four O3 planes are inside D5 one uses the Lefschetz fix-point formula [72] to compute for D5 that b(2)+ = 6 and b 2 − = 4.”
Abelian fibred holomorphic symplectic manifolds (2003, background): “The description of an elliptic surface as a family of cubics is known as a Weierstra model, and exists for any elliptic surface which admits a section (see [ 4 ], [13], [25], or almost any book on complex surfaces).”
Groupes commutatifs d'automorphismes d'une variété kählérienne compacte (2002, background): “On trouve dans la litt´erature des exemples d’automorphismes d’entropie positive; pour le cas des surfaces voir B. Mazur [17], S. Cantat [4], Barth, Peters, van de V en [1].”
Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces (2004, background): “ projective Poisson surfaces include certain rational surfaces and certain blow-ups of ruled surfaces, by the classiﬁcation of minimal projective surfaces with an eﬀective anti-canonical line bundle ([BPV] section VI.1). All minimal rational surfaces are Poisson, but the anti canonical line bundle r”
Standard isotrivial fibrations with p_g=q=1, II (2007, background): “If T is a normal surface, a desingularization λ: S −→ T is said to be minimal if λ does not contract any (−1)−curve in S. Such a minimal desingularization always exists and it is determined uniquely by T ([ BPV84 ], p.86); it is worth pointing out that S is not necessarily a minimal surface (cf.”
On the evolution of a Hermitian metric by its Chern-Ricci form (2011, background): “3) that αT is the ∂∂-closed (1,1) form αT = 22 V. TOSATTI AND B. WEINKOVE ω0 − TRic(ω0). We claim that in this case the Kodaira dimension κ(M) is negative, which by the Kodaira-Enriques classiﬁcation [2, 3] implies that M is either birational to a ruled surface or of class VII. Indeed, if κ(M) > ”
Topological methods in moduli theory (2014, background): “These surfaces were classified by Bagnera and de Franchis ([19], see also [21,156]) and they are obtained as quotients (E1× E2)/G where E1, E2 are two elliptic curves, and G is an abelian group acting on E1 by translations, and on E2 effectively and in such a way that E2/G ∼= P1.”