scholarly journals Geometric Convergence of the Kähler–Ricci Flow on Complex Surfaces of General Type

2015 ◽  
Vol 2016 (18) ◽  
pp. 5652-5669 ◽  
Author(s):  
Bin Guo ◽  
Jian Song ◽  
Ben Weinkove
Keyword(s):  
Ricci Flow ◽  
General Type ◽  
Complex Surfaces ◽  
Surfaces Of General Type ◽  
Geometric Convergence

scholarly journals Complex surfaces of general type with K2 = 3,4 and p = q = 0

2019 ◽  
Vol 357 (3) ◽  
pp. 291-295
Author(s):  
Heesang Park ◽  
Dongsoo Shin ◽  
Yoonjeong Yang
Keyword(s):  
General Type ◽  
Complex Surfaces ◽  
Surfaces Of General Type

On a non-abelian invariant on complex surfaces of general type

2006 ◽  
Vol 49 (12) ◽  
pp. 1897-1900
Author(s):  
Wing-Sum Cheung ◽  
Bun Wong
Keyword(s):  
General Type ◽  
Complex Surfaces ◽  
Surfaces Of General Type

scholarly journals Complex Surfaces of General Type: Some Recent Progress

2006 ◽  
pp. 1-58 ◽  
Author(s):  
Ingrid C. Bauer ◽  
Fabrizio Catanese ◽  
Roberto Pignatelli
Keyword(s):  
General Type ◽  
Recent Progress ◽  
Complex Surfaces ◽  
Surfaces Of General Type

scholarly journals CANONICALLY FIBERED SURFACES OF GENERAL TYPE

2018 ◽  
Vol 19 (1) ◽  
pp. 209-229
Author(s):  
Xin Lü
Keyword(s):  
General Type ◽  
Complex Surface ◽  
The Other ◽  
Complex Surfaces ◽  
Surfaces Of General Type ◽  
Geometric Genus ◽  
Canonical Map ◽  
Other Hand ◽  
Surface Of General Type

In this paper, we construct the first examples of complex surfaces of general type with arbitrarily large geometric genus whose canonical maps induce non-hyperelliptic fibrations of genus $g=4$, and on the other hand, we prove that there is no complex surface of general type whose canonical map induces a hyperelliptic fibrations of genus $g\geqslant 4$ if the geometric genus is large.

On the Kähler-Ricci Flow on Projective Manifolds of General Type

2006 ◽  
Vol 27 (2) ◽  
pp. 179-192 ◽  
Author(s):  
Gang Tian* ◽  
Zhou Zhang
Keyword(s):  
Ricci Flow ◽  
General Type ◽  
Projective Manifolds

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.

scholarly journals NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES

2014 ◽  
Vol 16 (02) ◽  
pp. 1350010 ◽  
Author(s):  
GILBERTO BINI ◽  
FILIPPO F. FAVALE ◽  
JORGE NEVES ◽  
ROBERTO PIGNATELLI
Keyword(s):  
Fundamental Group ◽  
Moduli Space ◽  
General Type ◽  
Picard Number ◽  
Surfaces Of General Type ◽  
Geometric Genus ◽  
Genus Zero ◽  
New Family ◽  
Hodge Numbers ◽  
Projective Lines

We classify the subgroups of the automorphism group of the product of four projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first application, we describe new examples of Calabi–Yau 3-folds with small Hodge numbers. In particular, the Picard number is 1 and the number of moduli is 5. Furthermore, the fundamental group is nontrivial. We also construct a new family of minimal surfaces of general type with geometric genus zero, K2 = 3 and fundamental group of order 16. We show that this family dominates an irreducible component of dimension 4 of the moduli space of the surfaces of general type.

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