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Divisors on surfaces
isogenous to a product of mixed type with $p_g=0$
Davide Frapporti and Kyoung-Seog Lee |
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Vol. 318 (2022), No. 2, 233–247
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Abstract |
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We study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with . In particular, we prove that all reducible fake quadrics are Mori dream surfaces. |
Keywords
Mori dream space, surface of general type with $p_g=0$,
effective cone, nef cone, semiample cone, Cox ring, surface
isogenous to a product of mixed type
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Mathematical Subject Classification
Primary: 14E30, 14J29, 14J50
Secondary: 14H37, 14L30, 14Q10
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Supplementary material |
Milestones
Received: 28 August 2020
Revised: 11 October 2021
Accepted: 2 January 2022
Published: 20 August 2022
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Authors |
| Davide Frapporti | |
| Mathematisches Institut University of Bayreuth Lehrstuhl Mathematik VIII Bayreuth Germany |
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| Kyoung-Seog Lee | |
| Center for Geometry and
Physics Institute for Basic Science Pohang South Korea |
Institute of the Mathematical
Sciences of the Americas University of Miami Coral Gables, FL USA |
