Mori dream spaces and ℚ-homology quadrics
Open Access
- 21 September 2025
- journal article
- Published by Mathematical Sciences Publishers in Pacific Journal of Mathematics
- Vol. 339 (2) , 223-242
Abstract
We show that Shavel-type surfaces are fake -ޑhomology quadrics of even type which are not Mori dream surfaces, yet there are infinitely many primes p such that the reduction modulo p is a Mori dream surface. We investigate fake -ޑhomology quadrics, first concerning the property of being a Mori dream surface, then trying to determine which families are of even type among the surfaces isogenous to a higher product which are fake -ޑhomology quadrics.Keywords
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