Irreducible cycles and points in special position in moduli spaces for tropical curves

Autor:	Gathmann, Andreas, Schroeter, Franziska
Rok vydání:	2011
Předmět:	Mathematics - Algebraic Geometry Mathematics - Combinatorics Primary 14N10 14T05
Zdroj:	Elect. J. Comb. 19, issue 4 (2012), P26
Druh dokumentu:	Working Paper
Popis:	In the first part of this paper, we discuss the notion of irreducibility of cycles in the moduli spaces of n-marked rational tropical curves. We prove that Psi-classes and vital divisors are irreducible, and that locally irreducible divisors are also globally irreducible for n \leq 6. In the second part of the paper, we show that the locus of point configurations in (\R^2)^n in special position for counting rational plane curves (defined in two different ways) can be given the structure a tropical cycle of codimension 1. In addition, we compute explicitly the weights of this cycle. Comment: 31 pages, minor changes to match the published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.3307 Zobrazit plný text záznamu View this record from Arxiv