TY - THES
A1 - Kerber, Michael
T1 - The enumerative geometry of rational and elliptic tropical curves and a Riemann-Roch theorem in tropical geometry
N2 - This thesis is devoted to the study of tropical curves with emphasis on their enumerative geometry. Major results include a conceptual proof of the fact that the number of rational tropical plane curves interpolating an appropriate number of general points is independent of the choice of points, the computation of intersection products of Psi-classes on the moduli space of rational tropical curves, a computation of the number of tropical elliptic plane curves of given degree and fixed tropical j-invariant as well as a tropical analogue of the Riemann-Roch theorem for algebraic curves. The result are obtained in joint work with Hannah Markwig and/or Andreas Gathmann.
N2 - Die enumerative Geometrie rationaler und elliptischer tropischer Kurven und ein Riemann-Roch Satz in der tropischen Geometrie
KW - Tropische Geometrie
Y1 - 2008
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2071
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-23170
ER -