dc.date.accessioned | 2020-01-11T19:08:39Z | |
dc.date.available | 2020-01-11T19:08:39Z | |
dc.date.created | 2019-02-01T12:53:57Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Shaw, Kristin Brugallé, Erwan . Obstructions to approximating tropical curves in surfaces via intersection theory. Canadian Journal of Mathematics - Journal Canadien de Mathematiques. 2015 | |
dc.identifier.uri | http://hdl.handle.net/10852/72106 | |
dc.description.abstract | We provide some new local obstructions to approximating tropical curves in smooth tropical surfaces. These obstructions are based on a relation between tropical and complex intersection theories, which is also established here. We give two applications of the methods developed in this paper. First we classify all locally irreducible approximable 3-valent fan tropical curves in a fan tropical plane. Secondly, we prove that a generic non-singular tropical surface in tropical projective 3-space contains finitely many approximable tropical lines if it is of degree 3, and contains no approximable tropical lines if it is of degree 4 or more. | |
dc.language | EN | |
dc.publisher | University of Toronto Press | |
dc.title | Obstructions to approximating tropical curves in surfaces via intersection theory | |
dc.type | Journal article | |
dc.creator.author | Shaw, Kristin | |
dc.creator.author | Brugallé, Erwan | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1672080 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Canadian Journal of Mathematics - Journal Canadien de Mathematiques&rft.volume=&rft.spage=&rft.date=2015 | |
dc.identifier.jtitle | Canadian Journal of Mathematics - Journal Canadien de Mathematiques | |
dc.identifier.volume | 67 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 527 | |
dc.identifier.endpage | 572 | |
dc.identifier.doi | https://doi.org/10.4153/CJM-2014-014-4 | |
dc.identifier.urn | URN:NBN:no-75244 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0008-414X | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/72106/2/obst.pdf | |
dc.type.version | AcceptedVersion | |