Results 271 to 280 of about 316,671 (311)
Some Results on Surfaces of General Type
Canadian Journal of Mathematics, 2005 AbstractIn this article we prove some new results on projective normality, normal presentation and higher syzygies for surfaces of general type, not necessarily smooth, embedded by adjoint linear series. Some of the corollaries of more general results include: results on property Np associated to KS ⊗B⊗n where B is base-point free and ample divisor ...
B. P. Purnaprajna
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Fibrations of Campana general type on surfaces [PDF]
Geometriae Dedicata, 2011 The author constructs examples of fibrations \(f : X \to Y\) with \(\mathbb{C}\)-fibres. A \(\mathbb{C}\)-fiber is a singular fiber such that the minimum of the multiplicities of its components is greater than two but the greatest common divisor of the multiplicities is one. Such fibrations are called of general type and naturally come up in \textit{F.
Stoppino L. +2 more
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On rational maps from a general surface in to surfaces of general type
advg, 2008Abstract We study dominant rational maps from a general surface in to surfaces of general type. We prove restrictions on the target surfaces, and special properties of these rational maps. We show that for small degree the general surface has no such map.
Lucio Guerra, Gian Pietro Pirola
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2004
In the first section we state the restrictions on (c 2 1, c 2) for minimal surfaces of general type. In the section following it, the “easy” inequalities c2 1 > 0 and c2 > 0 are proven and we show that there is only a finite number of (−2)-curves.
Wolf P. Barth +3 more
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In the first section we state the restrictions on (c 2 1, c 2) for minimal surfaces of general type. In the section following it, the “easy” inequalities c2 1 > 0 and c2 > 0 are proven and we show that there is only a finite number of (−2)-curves.
Wolf P. Barth +3 more
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Kinematical Surfaces of General Type
2015A generatrix curve of a kinematical surface of general type transferring from one position to another can keep a certain character of motion but parameters of movements, positions of axes and the direction of infinitesimal displacements of the generatrix line simultaneously change.
S. N. Krivoshapko, V. N. Ivanov
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Bound of Automorphisms of Surfaces of General Type, I
The Annals of Mathematics, 1994A famous theorem of Hurwitz asserts that the number of automorphisms of a nonsingular projective complex curve \(X\) of genus \(g\geq 2\) is bounded by \(84 (g-1)= 42\deg K_ X\). In this paper this result extends to minimal algebraic surfaces of general type. The author proves that the number of automorphisms of such a surface \(X\) is bounded by \(CK_
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NUMERICAL BOUNDS FOR DEGENERATIONS OF SURFACES OF GENERAL TYPE
International Journal of Mathematics, 1999This paper considers bounds on the numerical properties of degenerations of surfaces of general type. Under suitable assumptions, we give explicit bounds for the number of singularities outside the double curve and for the number of components in a relative canonical model.
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Surfaces generated by translation surfaces of type 1 in \(I^1_3\)
2021Summary: In this paper, we classify surfaces at a constant distance from the edge of regression on translation surfaces on type 1 in the three dimensional simply isotropic space \(\mathbb{I}^1_3\) satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third ...
ES, HASAN +3 more
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On a Class of Surfaces of General Type
2010This lecture contains an exposition, without many details and proofs, (they will appear in a future paper), of a joint research of E. Bombieri-F. Catanese, dealing whith surfaces having the following numerical invariants; K2 =2, pg =q=1 (of course they are of general type).
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