The classification of surfaces of general type with nonbirational bicanonical map

DOI10.1090/S1056-3911-07-00478-XzbMath1132.14036MaRDI QIDQ5308203

Giuseppe Borrelli

Publication date: 27 September 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

algebraic surfacebicanonical mapDu Val double plane

Mathematics Subject Classification ID

Surfaces of general type (14J29)

Related Items

Involutions on surfaces with \(p_g = q = 1\), Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$, Hyperelliptic surfaces with \(K^{2}<4\chi-6\), Involutions on a surface of general type with \(p_{g} = q = 0\), \(K^{2} = 7\), Involutions on numerical Campedelli surfaces, Surfaces with \(p_g=q=1\), \(K^2=6\) and non-birational bicanonical maps, Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients, ADJOINT LINEAR SYSTEMS ON ALGEBRAIC SURFACES, On equations of double planes with $p_g=q=1$, Unnamed Item, Surfaces with \(p_g=q=1\), \(K^2=7\) and non-birational bicanonical maps, Surfaces with \(p_g = 2, K^{2} = 3\) and a pencil of curves of genus 2, Pluricanonical systems for 3-folds and 4-folds of general type, Surfaces with \(p_{g } = q = 1, K^{2} = 8\) and nonbirational bicanonical map, Some bidouble planes with p_g= q = 0 and 4 ≤ K²≤ 7

Cites Work

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• Vector bundles of rank 2 and linear systems on algebraic surfaces
• On deformations of quintic surfaces
• Enriques surfaces and a construction of surfaces of general type with \(p_ g=0\)
• Remarks on the bicanonical map for surfaces of general type
• Enriques surfaces with eight nodes
• On regular surfaces of general type with \(p_g=3\) and non-birational bicanonical map
• The classification of double planes of general type with \(K^{2}=8\) and \(p_{g}=0\).
• Surfaces of general type with \(p_g=0\), \(K^2=6\) and non birational bicanonical map
• Pluricanonical systems on algebraic surfaces of general type
• Canonical models of surfaces of general type
• On surfaces with p_g=q=2 and non-birational bicanonical maps
• Degree of the Bicanonical Map of a Surface of General Type
• Inégalités numériques pour les surfaces de type général. Appendice : «L'inégalité $p_g \ge 2q-4$ pour les surfaces de type général» par A. Beauville
• The degree of the bicanonical map of a surface with 𝑝_{𝑔}=0
• Finitude de l'application bicanonique des surfaces de type général
• On the classification of irregular surfaces of general type with nonbirational bicanonical map
• THE BICANONICAL MAP OF SURFACES WITH $p_g = 0$ AND $K^2 \geqslant 7$, II
• A new family of surfaces with and
• Surfaces of general type with 𝑝_{𝑔}=𝑞=1,𝐾²=8 and bicanonical map of degree 2
• On Surfaces Whose Canonical System is Hyperelliptic
• A connected component of the moduli space of surfaces with \(p_g=0\).