Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Christ, Karl"'
In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and Norine. We prove the Riemann-Roch theorem for the uniform alge
Externí odkaz:
http://arxiv.org/abs/2406.03987
Given a family of parameterized algebraic curves over a strictly semistable pair, we show that the simultaneous tropicalization of the curves in the family forms a family of parameterized tropical curves over the skeleton of the strictly semistable p
Externí odkaz:
http://arxiv.org/abs/2403.15686
Autor:
Christ, Karl
As in algebraic geometry, an effective divisor class on a vertex-weighted graph is called special if also its residual class is effective. We study the question, when this is true already on the level of divisors; that is, when there exists an effect
Externí odkaz:
http://arxiv.org/abs/2312.13207
Autor:
Christ, Karl, Ma, Qixiao
Let $G$ be a finite graph of genus $g$. Let $d$ and $r$ be non-negative integers such that the Brill-Noether number is non-negative. It is known that for some $k$ sufficiently large, the $k$-th homothetic refinement $G^{(k)}$ of $G$ admits a divisor
Externí odkaz:
http://arxiv.org/abs/2304.07405
Autor:
Christ, Karl
Let $X$ be a semistable curve and $L$ a line bundle whose multidegree is uniform, i.e., in the range between those of the structure sheaf and the dualizing sheaf of $X$. We establish an upper bound for $h^0(X,L)$, which generalizes the classic Cliffo
Externí odkaz:
http://arxiv.org/abs/2204.08234