{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T09:17:25Z","timestamp":1762420645651,"version":"build-2065373602"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comment. Math. Helv."],"published-print":{"date-parts":[[2011,2,27]]},"abstract":"<jats:p>\n                    Let\n                    <jats:inline-formula>\n                      <jats:tex-math>S<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    be a smooth minimal complex projective surface of maximal Albanese dimension. Under the assumption that the canonical class of\n                    <jats:inline-formula>\n                      <jats:tex-math>S<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    is ample and\n                    <jats:inline-formula>\n                      <jats:tex-math>q(S):=h^0(\\Omega^1_S)\\ge 5<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    , we show\n                    <jats:inline-formula>\n                      <jats:tex-math>K^2_S\\ge 4\\chi(S)+\\frac{10}{3}q(S)-8,<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    thus improving the well-known Severi inequality\n                    <jats:inline-formula>\n                      <jats:tex-math>K^2_S\\ge 4\\chi(S)<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    .\n                  <\/jats:p>\n                  <jats:p>\n                    We also give stronger inequalities under extra assumptions on the Albanese map or on the canonical map of\n                    <jats:inline-formula>\n                      <jats:tex-math>S<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    .\n                  <\/jats:p>","DOI":"10.4171\/cmh\/228","type":"journal-article","created":{"date-parts":[[2011,2,28]],"date-time":"2011-02-28T12:51:53Z","timestamp":1298897513000},"page":"401-414","source":"Crossref","is-referenced-by-count":2,"title":["Severi type inequalities for irregular surfaces with ample canonical class"],"prefix":"10.4171","volume":"86","author":[{"given":"Margarida","family":"Mendes Lopes","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]},{"given":"Rita","family":"Pardini","sequence":"additional","affiliation":[{"name":"Universit\u00e0 di Pisa, Italy"}]}],"member":"2673","container-title":["Commentarii Mathematici Helvetici"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/CMH\/228","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T09:12:36Z","timestamp":1762420356000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/cmh\/228"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2,27]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.4171\/cmh\/228","relation":{},"ISSN":["0010-2571","1420-8946"],"issn-type":[{"type":"print","value":"0010-2571"},{"type":"electronic","value":"1420-8946"}],"subject":[],"published":{"date-parts":[[2011,2,27]]}}}