Tricanonical maps of numerical Godeaux surfaces

DOI10.1007/BF01425477zbMath0337.14010MaRDI QIDQ1229929

Yoichi Miyaoka

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/142390

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items

Bicanonical pencil of a determinantal Barlow surface, An 8-dimensional family of simply connected Godeaux surfaces, A surface of general type with \(p_ g= q=0\), \(K^ 2=1\), Explicit birational geometry of 3-folds and 4-folds of general type, III, On the Geometry of Conic Bundles Arising in Adjunction Theory, Finitude de l'application bicanonique des surfaces de type général, Remarks on surfaces with \(c_1^2 =2\chi -1\) having non-trivial 2-torsion, Some birationality criteria on 3-folds with \(p_g>1\), PLURICANONICAL SYSTEMS ON SURFACES WITH SMALL K², A structure result for Gorenstein algebras of odd codimension, On certain examples of surfaces with p_g = 0 Due to Burniat, Branch curves for Campedelli double planes, Numerical Godeaux surfaces with an involution in positive characteristic, A bound for the orders of the torsion groups of surfaces with \(c_1^2 = 2\chi-1\), Unnamed Item, \(\Gamma\)-type-invariants associated to PU(2)-bundles and the differentiable structure of Barlow's surface, Gorenstein stable Godeaux surfaces, Classical Godeaux surface in characteristic \(p\), A sharp lower bound for the canonical volume of 3-folds of general type, Tricanonical System of a Surface of General Type in Positive Characteristic, Surfaces of general type with geometric genus zero: a survey, Numerical Godeaux surfaces with an involution, On degenerations of \(\mathbb{Z} {/} 2\)-Godeaux surfaces, A compactification of a family of determinantal Godeaux surfaces

Cites Work

• Unnamed Item
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Canonical models of surfaces of general type
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• On Isolated Rational Singularities of Surfaces
• ON THE CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS