scholarly journals Erratum to the article A simply connected surface of general type withpg= 0 andK2= 3

2011 ◽  
Vol 15 (1) ◽  
pp. 499-500 ◽  
Author(s):  
Heesang Park ◽  
Jongil Park ◽  
Dongsoo Shin
Keyword(s):  
General Type ◽  
Connected Surface ◽  
Surface Of General Type ◽  
Simply Connected

scholarly journals A simply connected surface of general type withpg= 0 andK2= 4

2009 ◽  
Vol 13 (3) ◽  
pp. 1483-1494 ◽  
Author(s):  
Heesang Park ◽  
Jongil Park ◽  
Dongsoo Shin
Keyword(s):  
General Type ◽  
Connected Surface ◽  
Surface Of General Type ◽  
Simply Connected

scholarly journals A simply connected surface of general type withpg= 0 andK2= 3

2009 ◽  
Vol 13 (2) ◽  
pp. 743-767 ◽  
Author(s):  
Heesang Park ◽  
Jongil Park ◽  
Dongsoo Shin
Keyword(s):  
General Type ◽  
Connected Surface ◽  
Surface Of General Type ◽  
Simply Connected

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.

Degenerate surfaces in higher space

1933 ◽  
Vol 29 (1) ◽  
pp. 88-94 ◽  
Author(s):  
L. Roth
Keyword(s):  
General Type ◽  
General Character ◽  
Space Curves ◽  
Single Curve ◽  
General Surface ◽  
Previous Note ◽  
Surface Of General Type ◽  
Degenerate Curve

1. In a previous note the author has examined the systems of tangent planes to a degenerate surface in S3 consisting of n planes, regarded as the limit of a general surface of the same order. It is well known that a pair of space curves which are the limiting form of a non-degenerate curve must have a certain number of intersections; hence, if a surface in higher space degenerates into a number of surfaces, these must intersect in curves of various orders. In the present paper we consider the nature of the envelope to a surface consisting of two general surfaces of S4 having in common a single curve of general character, the degenerate surface being regarded as the limit of some surface of general type. The same conclusions hold for a similar degenerate surface in Sr (r>4).

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