Results 281 to 290 of about 1,188,516 (315)
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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 ...
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Fibrations of Campana general type on surfaces
Geometriae Dedicata, 2011The 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.
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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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Moduli of surfaces of general type
1983Introduction The present paper follows rather closely the text of the talk given at the Conference, and is therefore rather problem-oriented and of a mostly expository nature. In the first part we give a very brief survey of the history of the problem of moduli for surfaces and at the very beginning we discuss with some detail a very elementary though ...
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Bounding Singular Surfaces of General Type
2004We provide simpler proofs of several boundedness theorems, contained in in articles [2], [3], for log surfaces of general type with semi log canonical singularities. At the same time, we make these proofs effective, with explicit upper bounds.
Valery Alexeev, Shigefumi Mori
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The surface of halide perovskites from nano to bulk
Nature Reviews Materials, 2020Jingjing Xue, Rui Wang, Yang Yang
exaly
On the chern numbers of surfaces of general type
Inventiones Mathematicae, 1976openaire +1 more source