{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T04:20:44Z","timestamp":1777350044258,"version":"3.51.4"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Rev. Mat. Iberoam."],"published-print":{"date-parts":[[2022,8,31]]},"abstract":"<jats:p>\n                    We compute equations for the Coughlan\u2019s family of Godeaux surfaces with torsion\n                    <jats:inline-formula>\n                      <jats:tex-math>\\mathbb{Z}\/2<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    , which we call\n                    <jats:inline-formula>\n                      <jats:tex-math>\\mathbb{Z}\/2<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -Godeaux surfaces, and we show that it is (at most) 7 dimensional. We classify all non-rational KSBA degenerations\n                    <jats:inline-formula>\n                      <jats:tex-math>W<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    of\n                    <jats:inline-formula>\n                      <jats:tex-math>\\mathbb{Z}\/2<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -Godeaux surfaces with one Wahl singularity, showing that\n                    <jats:inline-formula>\n                      <jats:tex-math>W<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    is birational to particular either Enriques surfaces, or\n                    <jats:inline-formula>\n                      <jats:tex-math>D_{2,n}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    elliptic surfaces, with\n                    <jats:inline-formula>\n                      <jats:tex-math>n = 3, 4<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    or\n                    <jats:inline-formula>\n                      <jats:tex-math>6<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    . We present examples for all possibilities in the first case, and for\n                    <jats:inline-formula>\n                      <jats:tex-math>n = 3, 4<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    in the second.\n                  <\/jats:p>","DOI":"10.4171\/rmi\/1376","type":"journal-article","created":{"date-parts":[[2022,8,31]],"date-time":"2022-08-31T17:45:08Z","timestamp":1661967908000},"page":"1399-1423","source":"Crossref","is-referenced-by-count":1,"title":["On degenerations of $\\mathbb{Z}\/2$-Godeaux surfaces"],"prefix":"10.4171","volume":"38","author":[{"given":"Eduardo","family":"Dias","sequence":"first","affiliation":[{"name":"Faculdade de Ci\u00eancias da Universidade do Porto, Portugal"}]},{"given":"Carlos","family":"Rito","sequence":"additional","affiliation":[{"name":"Universidade de Tr\u00e1s-os-Montes e Alto Douro, Vila Real, Portugal"}]},{"given":"Giancarlo","family":"Urz\u00faa","sequence":"additional","affiliation":[{"name":"Pontificia Universidad Cat\u00f3lica de Chile, Santiago de Chile, Chile"}]}],"member":"2673","container-title":["Revista Matem\u00e1tica Iberoamericana"],"original-title":[],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:09:40Z","timestamp":1762261780000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/rmi\/1376"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,31]]},"references-count":0,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.4171\/rmi\/1376","relation":{},"ISSN":["0213-2230","2235-0616"],"issn-type":[{"value":"0213-2230","type":"print"},{"value":"2235-0616","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,31]]}}}