Floor decomposition of tropical planar curves
| dc.contributor.author | El Maalouf, Loulwa Rachid. | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2013 | |
| dc.date.accessioned | 2013-10-02T09:23:43Z | |
| dc.date.available | 2013-10-02T09:23:43Z | |
| dc.date.issued | 2013 | |
| dc.description | Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2013. | |
| dc.description | Advisor : Dr. Azar, Monique, Assistant Professor, Mathematics--Committee Members : Dr. Abu Khuzam, Hazar, Professor, Mathematics ; Dr. Egeileh, Michel, Assistant Professor, Mathematics. | |
| dc.description | Includes bibliographical references (leaf 59) | |
| dc.description.abstract | Mikhalkin showed that when counted with appropriate (r-real) multiplicities, the number of tropical curves in (R*)2 of genus g and Newton polygon Δ passing through s generic points in (R*)2 agrees with the corresponding Gromov-Witten (resp. Welschinger) invariants. Brugalle and Mikhalkin show that the enumeration of these tropical curves can be reduced to the enumeration of certain combinatorial objects called floor diagrams. We study these floor diagrams and their applications. | |
| dc.format.extent | ix, 59 leaves : ill. ; 30cm. | |
| dc.identifier.uri | http://hdl.handle.net/10938/9658 | |
| dc.language.iso | en | |
| dc.relation.ispartof | Theses, Dissertations, and Projects | |
| dc.subject.classification | T:005795 AUBNO | |
| dc.subject.lcsh | Tropical geometry. | |
| dc.subject.lcsh | Curves, Plane. | |
| dc.subject.lcsh | Geometry, Enumerative. | |
| dc.title | Floor decomposition of tropical planar curves | |
| dc.type | Thesis |