L'application canonique pour les surfaces de type général

DOI10.1007/BF01390086zbMath0403.14006OpenAlexW2140167827MaRDI QIDQ1256015

Arnaud Beauville

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186129

zbMATH Keywords

Ruled SurfaceCanonical MapSurfaces of General Type

Mathematics Subject Classification ID

Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15) Special surfaces (14J25)

Related Items (76)

A surface with canonical map of degree 24 ⋮ Noether's inequality for non-complete algebraic surfaces of general type. II ⋮ Bicanonical pencil of a determinantal Barlow surface ⋮ Polynomial bounds for the number of automorphisms of a surface of general type ⋮ Addendum : «Inégalités numériques pour les surfaces de type général» ⋮ Higher order dual varieties of projective surfaces ⋮ What we know about the second adjunction mapping ⋮ Irregular Canonical Double Surfaces ⋮ Normal canonical hypersurfaces ⋮ On the irregularity of special non-canonical surfaces ⋮ On the slope of fibred surfaces ⋮ Algebraic surfaces of general type with K2=3pg−5 ⋮ Irregularity of surfaces with a linear pencil ⋮ Even canonical surfaces with small \(K^ 2\). II ⋮ A new infinite family of irregular algebraic surfaces with canonical map of degree 8 ⋮ A surface of maximal canonical degree ⋮ Unboundedness of fiber invariants of canonically fibered varieties of general type ⋮ A family of threefolds of general type with canonical map of high degree ⋮ Finitude de l'application bicanonique des surfaces de type général ⋮ Some infinite sequences of canonical covers of degree 2 ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Xiao's conjecture on canonically fibered surfaces ⋮ New canonical triple covers of surfaces ⋮ An inequality with regard to the canonical birationality for varieties ⋮ New examples of canonical covers of degree 3 ⋮ Automorphisms of an irregular surface of general type acting trivially in cohomology. II ⋮ Numerical Campedelli surfaces with fundamental group of order 9 ⋮ Some surfaces with canonical maps of degrees 10, 11, and 14 ⋮ Even canonical surfaces with small K², I ⋮ On algebraic surfaces of general type with negative ⋮ Some algebraic surfaces with canonical map of degree 10, 12, 14 ⋮ On the Degree of the Canonical Map of a Surface of General Type ⋮ Automorphisms of an irregular surface of general type acting trivially in cohomology ⋮ Slope inequalities and a Miyaoka-Yau type inequality ⋮ A note on algebraic curves in characteristic 2 ⋮ Boundedness of fibers for pluricanonical maps of varieties of general type ⋮ On the Clifford theorem for surfaces ⋮ Classification of quadruple Galois canonical covers I ⋮ Unnamed Item ⋮ Algebraic surfaces of general type with \(c^ 2_ 1 =3p_ g -7\) ⋮ The moduli space of even surfaces of general type with \({K^2=8}\), \({p_g=4}\) and \({q=0}\) ⋮ On Severi type inequalities ⋮ Automorphisms of an irregular surface of general type acting trivially in cohomology. III ⋮ PLURICANONICAL SYSTEMS ON SURFACES WITH SMALL K² ⋮ LOWER BOUNDS OF THE SLOPE OF FIBRED THREEFOLDS ⋮ Unnamed Item ⋮ Examples of surfaces with canonical map of maximal degree ⋮ Automorphisms of fiber surfaces of genus 2, inducing the identity in cohomology ⋮ Some examples of algebraic surfaces with canonical map of degree 20 ⋮ Minimal pencils on smooth surfaces in \(\mathbb{P}^{3}\) ⋮ On abelian canonical \(n\)-folds of general type ⋮ Unnamed Item ⋮ Mirror symmetry and projective geometry of Reye congruences I ⋮ Weak boundedness theorems for canonically fibered Gorenstein minimal 3-folds ⋮ ON CANONICALLY DERIVED FAMILIES OF SURFACES OF GENERAL TYPE OVER CURVES ⋮ Unnamed Item ⋮ A note on abelian automorphism groups of surfaces of general type ⋮ On surfaces with p_g = 2q – 3 ⋮ ADJOINT LINEAR SYSTEMS ON ALGEBRAIC SURFACES ⋮ 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 ⋮ Automorphisms of a surface of general type acting trivially in cohomology ⋮ A new example of an algebraic surface with canonical map of degree 16 ⋮ Generalized hyperelliptic surfaces ⋮ On the canonical map of some surfaces isogenous to a product ⋮ Degree of the canonical map of a Gorenstein 3-fold of general type ⋮ Unnamed Item ⋮ Numerical criteria for certain fiber spaces to be birationally trivial ⋮ On the canonical degrees of Gorenstein threefolds of general type ⋮ Certain algebraic surfaces of general type with irregularity one and their canonical mappings ⋮ Numerical inequalities for surfaces with canonical map composed with a pencil ⋮ Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3 ⋮ Some unlimited families of minimal surfaces of general type with the canonical map of degree 8 ⋮ Characterizing projective bundles by means of ample divisors ⋮ Surfaces of general type with \({K^2}={2\chi}-{1}\) ⋮ Surfaces with canonical map of maximum degree ⋮ On certain even canonical surfaces

Cites Work

• The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)
• Algebraic surfaces of general type with small \(c^2_1\). III
• Curves with high self-intersection on algebraic surfaces
• Canonical models of surfaces of general type
• Variétés de Prym et jacobiennes intermédiaires
• On the Chern numbers of surfaces of general type
• Unnamed Item
• Unnamed Item
• Unnamed Item

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