Results 1 to 10 of about 81 (72)

Tropicalization of the universal Jacobian [PDF]

Épijournal de Géométrie Algébrique, 2022
In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process of tropicalization of the universal compactified Jacobian over the moduli ...
Margarida Melo, Samouil Molcho, Martin Ulirsch, Filippo Viviani   +3 more
doaj   +1 more source

Smooth Compactifications of the Abel-Jacobi Section

Forum of Mathematics, Sigma, 2023
For $\theta $ a small generic universal stability condition of degree $0$ and A a vector of integers adding up to $-k(2g-2+n)$ , the spaces $\overline {\mathcal {M}}_{g,A}^\theta $ constructed in [AP21, HMP+22] are observed to ...
Sam Molcho
doaj   +1 more source

Complete moduli of cubic threefolds and their intermediate Jacobians

Proceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021
Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin, Samuel Grushevsky, Klaus Hulek, Radu Laza   +3 more
wiley   +1 more source

HYPERELLIPTIC GRAPHS AND METRIZED COMPLEXES

Forum of Mathematics, Sigma, 2017
We prove a version of Clifford’s theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree $2r$ and rank
YOAV LEN
doaj   +1 more source

Dimensions of Prym varieties

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 2, Page 107-116, 2001., 2001
Given a tame Galois branched cover of curves π : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula can be applied to the study of algebraic integrable systems using Lax pairs, in particular ...
Amy E. Ksir
wiley   +1 more source

Cyclic coverings of genus $2$ curves of Sophie Germain type

Forum of Mathematics, Sigma
We consider cyclic unramified coverings of degree d of irreducible complex smooth genus $2$ curves and their corresponding Prym varieties. They provide natural examples of polarized abelian varieties with automorphisms of order d.
J.C. Naranjo, A. Ortega, I. Spelta
doaj   +1 more source

Stability conditions for line bundles on nodal curves

Forum of Mathematics, Sigma
We introduce the abstract notion of a smoothable fine compactified Jacobian of a nodal curve, and of a family of nodal curves whose general element is smooth. Then we introduce the combinatorial notion of a stability assignment for line bundles and their
Nicola Pagani, Orsola Tommasi
doaj   +1 more source

The Rank of the Normal Functions of the Ceresa and Gross–Schoen Cycles

Forum of Mathematics, Sigma
In this paper we show that the rank of the normal function function of the genus $g$ Ceresa cycle over the moduli space of curves has the maximal rank possible, $3g-3$ , provided that $g\ge 3$ .
Richard Hain
doaj   +1 more source

[Pollutions Environnementales et Santé sous les Tropiques]. [PDF]

Med Trop Sante Int, 2021
Epelboin A, Gazin P, Goujon C, Pichard É, Le Gurun S.   +4 more
europepmc   +1 more source

Efficacy of broccoli and glucoraphanin in COVID-19: From hypothesis to proof-of-concept with three experimental clinical cases. [PDF]

World Allergy Organ J, 2021
Bousquet J, Le Moing V, Blain H, Czarlewski W, Zuberbier T, de la Torre R, Pizarro Lozano N, Reynes J, Bedbrook A, Cristol JP, Cruz AA, Fiocchi A, Haahtela T, Iaccarino G, Klimek L, Kuna P, Melén E, Mullol J, Samolinski B, Valiulis A, Anto JM.   +20 more
europepmc   +1 more source