Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Naranjo, Juan Carlos"'
We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudoreflection of geometric origin is the union of three different non-empt
Externí odkaz:
http://arxiv.org/abs/2412.04940
The Prym map $\mathcal{P}_6$ in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil $\mathcal{T}_6^o$, it is still generically finite, but of degree strictly smaller. In t
Externí odkaz:
http://arxiv.org/abs/2407.13443
We study the local geometry of the moduli space of intermediate Jacobians of $(2,2)$-threefolds in ${\mathbb P}^2 \times {\mathbb P}^2$. More precisely, we prove that a composition of the second fundamental form of the Siegel metric in $\mathcal A_9$
Externí odkaz:
http://arxiv.org/abs/2310.10398
In this paper we consider unramified coverings of the moduli space $\mathcal{M}_g$ of smooth projective complex curves of genus $g$. Under some hypothesis on the branch locus of the finite extended map to the Deligne-Mumford compactification, we prov
Externí odkaz:
http://arxiv.org/abs/2210.07125
Autor:
Naranjo, Juan Carlos, Spelta, Irene
The aim of this paper to prove that the ramified Prym map restricted to the locus of coverings of quintic plane curves ramified in 2 points is generically injective.
Comment: Minor modifications suggested by the referee
Comment: Minor modifications suggested by the referee
Externí odkaz:
http://arxiv.org/abs/2209.15341
Publikováno v:
Ãpijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (October 27, 2023) epiga:9962
We study the second fundamental form of the Siegel metric in $\mathcal A_5$ restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, is contained
Externí odkaz:
http://arxiv.org/abs/2207.13432
In the moduli space $\mathcal{R}_g$ of double \'etale covers of curves of a fixed genus $g$, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors $\mathcal T^e_g$ and $\mathcal T^o_g$. We study the Pry
Externí odkaz:
http://arxiv.org/abs/2106.08683
Autor:
Naranjo, Juan Carlos, Ortega, Ángela
We prove that the ramified Prym map $\mathcal P_{g, r}$ which sends a covering $\pi:D\longrightarrow C$ ramified in $r$ points to the Prym variety $P(\pi):=\text{Ker}(\text{Nm}_{\pi})$ is an embedding for all $r\ge 6$ and for all $g(C)>0$. Moreover,
Externí odkaz:
http://arxiv.org/abs/2005.11108
Consider a very general abelian variety $A$ of dimension at least $3$ and an integer $0
Externí odkaz:
http://arxiv.org/abs/1906.11309
It is known that the monodromy group of each cover of a general curve of genus g>3 equals either the symmetric or the alternating group. The classical Catalan numbers count the minimal degree covers (with symmetric monodromy) of a general curve of ev
Externí odkaz:
http://arxiv.org/abs/1906.10406