Examples of Mori dream surfaces of general type with p g  = 0

Jong Hae Keum, Kyoung Seog Lee

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study effective, nef and semiample cones of minimal surfaces of general type with p g =0. We provide examples of minimal surfaces of general type with p g =0 and 2≤K 2 ≤9 which are Mori dream spaces. On these examples we also give explicit description of their effective cones with all negative curves. We also present non-minimal surfaces of general type with p g =0 that are not Mori dream surfaces.

Original languageEnglish (US)
Pages (from-to)708-738
Number of pages31
JournalAdvances in Mathematics
Volume347
DOIs
StatePublished - Apr 30 2019
Externally publishedYes

Keywords

  • Cox ring
  • Minimal surface of general type with p =0 effective cone
  • Mori dream space
  • Nef cone
  • Semiample cone

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Examples of Mori dream surfaces of general type with p <sub>g</sub>  = 0'. Together they form a unique fingerprint.

Cite this