Divisors on surfaces isogenous to a product of mixed type with pg= 0

Davide Frapporti, Kyoung-Seog Lee

Type: Article

Publication Date: 2022-08-20

Citations: 0

DOI: https://doi.org/10.2140/pjm.2022.318.233

Abstract

In this paper, we study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with $p_g=0$. In particular, we prove that all reducible fake quadrics are Mori dream surfaces.

Locations

Pacific Journal of Mathematics - View
arXiv (Cornell University) - View - PDF
Virtual Community of Pathological Anatomy (University of Castilla La Mancha) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Divisors on surfaces isogenous to a product of mixed type with $p_g=0$	2019	Davide Frapporti Kyoung-Seog Lee
+	Examples of Mori dream surfaces of general type with $p_g=0$	2018	JongHae Keum Kyoung-Seog Lee
+	Examples of Mori dream surfaces of general type with p = 0	2019	JongHae Keum Kyoung-Seog Lee
+ PDF Chat	Mori dream spaces and Q-homology quadrics	2025	Paolo Cascini Fabrizio Catanese Yifan Chen Jong Hae Keum
+	On the minimal model of semi-isogenous mixed surfaces	2020	Davide Frapporti
+	Combinatorially minimal Mori dream surfaces of general type	2022	JongHae Keum Kyoung-Seog Lee
+	Birational Geometry of the Space of Complete Quadrics	2014	César Lozano Huerta
+	Birational Geometry of the Space of Complete Quadrics	2014	César Lozano Huerta
+	Some properties of divisors on fake quadrics	2023	Yang Jian-qiang
+	Exceptional collections on some fake quadrics	2014	Kyoung-Seog Lee Timofey Shabalin
+ PDF Chat	Exceptional collections on some fake quadrics	2017	Kyoung-Seog Lee Timofey Shabalin
+	Exceptional collections on some fake quadrics	2014	Kyoung-Seog Lee Timofey Shabalin
+ PDF Chat	Mori dream K3 surfaces of Picard number four: projective models and Cox rings	2023	Michela Artebani Claudia Correa Deisler Xavier Roulleau
+	Cox rings of rational surfaces and redundant blow-ups	2013	DongSeon Hwang Jinhyung Park
+ PDF Chat	Cox rings of rational surfaces and redundant blow-ups	2015	DongSeon Hwang Jinhyung Park
+	Remarks on nef and movable cones of hypersurfaces in Mori dream spaces	2020	Long Wang
+	Boundedness of finite morphisms onto Fano manifolds with large Fano index	2022	Feng Shao Guolei Zhong
+ PDF Chat	Boundedness of finite morphisms onto Fano manifolds with large Fano index	2023	Feng Shao Guolei Zhong
+	Nef and semiample divisors on rational surfaces	2011	Antonio Laface Damiano Testa
+ PDF Chat	Nef and semiample divisors on rational surfaces	2013	Antonio Laface Damiano Testa

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (17)

Action	Title	Year	Authors
+	Algebraic Curves and Riemann Surfaces	1995	Rick Miranda
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+ PDF Chat	Mixed quasi-étale surfaces, new surfaces of general type with $$p_g=0$$ and their fundamental group	2013	Davide Frapporti
+ PDF Chat	Enumeration of the 50 fake projective planes	2009	Donald I. Cartwright Tim Steger
+	Mori dream spaces and GIT.	2000	Yi Hu Seán Keel
+ PDF Chat	The classification of isotrivially fibred surfaces with p g = q = 2	2011	Matteo Penegini
+	Fibred surfaces, varieties isogenous to a product and related moduli spaces	2000	Fabrizio Catanese
+	Cox rings of surfaces and the anticanonical Iitaka dimension	2011	Michela Artebani Antonio Laface
+ PDF Chat	Surfaces of general type with geometric genus zero: a survey	2011	Ingrid Bauer Fabrizio Catanese Roberto Pignatelli
+	Examples of Mori dream surfaces of general type with $p_g=0$	2018	JongHae Keum Kyoung-Seog Lee