scholarly journals The spectrum of a modified linear pencil

2003 ◽  
Vol 46 (8-9) ◽  
pp. 1413-1426 ◽  
Author(s):  
S. Elhay ◽  
G.H. Golub ◽  
Y.M. Ram
Keyword(s):  
Linear Pencil

A Lower Bound on the Euler–Poincaré Characteristic of Certain Surfaces of General Type with a Linear Pencil of Hyperelliptic Curves

2016 ◽  
Vol 68 (1) ◽  
pp. 67-87
Author(s):  
Hirotaka Ishida
Keyword(s):  
Lower Bound ◽  
General Type ◽  
Hyperelliptic Curves ◽  
Surfaces Of General Type ◽  
Linear Pencil ◽  
Surface Of General Type

AbstractLet S be a surface of general type. In this article, when there exists a relatively minimal hyperelliptic fibration whose slope is less than or equal to four, we give a lower bound on the Euler–Poincaré characteristic of S. Furthermore, we prove that our bound is the best possible by giving required hyperelliptic fibrations.

Spectral and oscillatory properties of a linear pencil of fourth-order differential operators

2013 ◽  
Vol 94 (1-2) ◽  
pp. 49-59 ◽  
Author(s):  
J. Ben Amara ◽  
A. A. Shkalikov ◽  
A. A. Vladimirov
Keyword(s):  
Fourth Order ◽  
Differential Operators ◽  
Linear Pencil ◽  
Oscillatory Properties

scholarly journals FIBERS OF PENCILS OF CURVES ON SMOOTH SURFACES

2011 ◽  
Vol 22 (10) ◽  
pp. 1433-1437 ◽  
Author(s):  
FRANCISCO MONSERRAT
Keyword(s):  
Smooth Surfaces ◽  
Projective Surface ◽  
Linear Pencil ◽  
Base Points ◽  
Smooth Projective Surface ◽  
Numerical Equivalence ◽  
Special Fibers

Let X be a smooth projective surface such that linear and numerical equivalence of divisors on X coincide and let σ ⊆ |D| be a linear pencil on X with integral general fibers. A fiber of σ will be called special if either it is not integral or it has nongeneric multiplicity at some of the base points (including the infinitely near ones) of the pencil. In this paper, we provide a procedure to compute the integral components of the special fibers of σ.

Irregularity of surfaces with a linear pencil

1987 ◽  
Vol 55 (3) ◽  
pp. 597-602 ◽  
Author(s):  
Gang Xiao
Keyword(s):  
Linear Pencil
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