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Higher-dimensional Clifford-Severi equalities
| dc.contributor.author | Barja Yáñez, Miguel Ángel |
| dc.contributor.author | Pardini, Rita |
| dc.contributor.author | Stoppino, Lidia |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2020-02-12T11:01:08Z |
| dc.date.available | 2020-11-28T01:28:03Z |
| dc.date.issued | 2019-11-28 |
| dc.identifier.citation | Barja, M.; Pardini, R.; Stoppino, L. Higher-dimensional Clifford-Severi equalities. "Communications in contemporary mathematics", 28 Novembre 2019, p. 1950079:1-1950079:16. |
| dc.identifier.issn | 0219-1997 |
| dc.identifier.uri | http://hdl.handle.net/2117/177538 |
| dc.description.abstract | Abstract.LetXbe a smooth complex projective variety,a:X¿Aa mor-phism to an abelian variety such that Pic0(A) injects into Pic0(X) and letLbe a line bundle onX; denote byh0a(X,L) the minimum ofh0(X,L¿a*a) fora¿Pic0(A). The so-called Clifford-Severi inequalities have been proven in [2]and [5]; in particular, for anyLthere is a lower bound for the volume givenby:vol(L)=n!h0a(X,L),and, ifKX-Lis pseudoeffective,vol(L)=2n!h0a(X,L).In this paper we characterize varieties and line bundles for which the aboveClifford-Severi inequalities are equalities |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Algebraic geometry |
| dc.subject.other | Irregular varieties |
| dc.subject.other | Birational classification |
| dc.subject.other | Clifford–Severi inequalities |
| dc.title | Higher-dimensional Clifford-Severi equalities |
| dc.type | Article |
| dc.subject.lemac | Geometria algebraica |
| dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| dc.identifier.doi | 10.1142/S0219199719500792 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes |
| dc.subject.ams | Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties |
| dc.relation.publisherversion | https://www.worldscientific.com/doi/abs/10.1142/S0219199719500792 |
| dc.rights.access | Open Access |
| local.identifier.drac | 26406657 |
| dc.description.version | Postprint (author's final draft) |
| local.citation.author | Barja, M.; Pardini, R.; Stoppino, L. |
| local.citation.publicationName | Communications in contemporary mathematics |
| local.citation.startingPage | 1950079:1 |
| local.citation.endingPage | 1950079:16 |
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