Results 31 to 40 of about 1,986 (102)
Prym-Tyurin varieties via Hecke algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2009 24 pages. Accepted in J. Reine Angew. Math.
Carocca, Angel +3 more
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Maximal gonality on strata of differentials and uniruledness of strata in low genus
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1627-1635, December 2021., 2021 Abstract We prove that for a generic element in a nonhyperelliptic component of an abelian stratum Hg(μ) in genus g, the underlying curve has maximal gonality. We extend this result to the case of quadratic strata when the partition μ has positive entries. As a consequence we deduce that all nonhyperelliptic components of H9(μ) are uniruled when μ is a
Andrei Bud
wiley +1 more source
Ordinary and almost ordinary Prym varieties [PDF]
Asian Journal of Mathematics, 2019 We study the $p$-rank stratification of the moduli space of Prym varieties in characteristic $p > 0$. For arbitrary primes $p$ and $\ell$ with $\ell \not = p$ and integers $g \geq 3$ and $0 \leq f \leq g$, the first theorem generalizes a result of Nakajima by proving that the Prym varieties of all the unramified ${\mathbb Z}/\ell$-covers of a ...
Ozman, Ekin, Pries, Rachel
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Families of curves with Higgs field of arbitrarily large kernel
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 493-506, April 2021., 2021 Abstract In this article, we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how strict the inclusion U⊆K can be in the geometric case. More precisely, for any smooth projective curve C of genus g⩾2 and any r=0,…,g−1, we construct non‐isotrivial ...
Víctor González‐Alonso, Sara Torelli
wiley +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 +3 more
wiley +1 more source
Limnology and Oceanography, Volume 66, Issue 1, Page 47-60, January 2021., 2021 Abstract Mixotrophic nanoflagellates can account for more than half of the bacterivory in the sunlit ocean, yet very little is known about their ecophysiology. Here, we characterize the grazing ecology of an open‐ocean mixotroph in the genus Florenciella (class Dictyochophyceae).
Qian Li +4 more
wiley +1 more source
Generic Torelli theorem for Prym varieties of ramified coverings [PDF]
, 2012 In this paper we prove that the Prym map, from the space of double coverings of a curve of genus g with r branch points to the moduli space of abelian varieties, is generically injective if r>6 and g>1, r=6 and g>2, r=4 and g>4, r=2 and g>5. We also show
Bardelli +16 more
core +1 more source
Prym varieties of spectral covers [PDF]
Geometry & Topology, 2012 Given a possibly reducible and non-reduced spectral cover X over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL_n-Higgs moduli space up ...
Hausel, Tamás, Pauly, Christian
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Systèmes dynamiques algébriquement complètement intégrables et géométrie
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper I present the basic ideas and properties of the complex algebraic completely integrable dynamical systems. These are integrable systems whose trajectories are straight line motions on complex algebraic tori (abelian varieties). We make, via
Lesfari A.
doaj +1 more source
PRYM VARIETIES AND THE INFINITE GRASSMANNIAN [PDF]
International Journal of Mathematics, 1998 In this paper we study Prym varieties and their moduli space using the well-known techniques of the infinite Grassmannian. There are three main results of this paper: a new definition of the BKP hierarchy over an arbitrary base field (that generalizes the classical one over [Formula: see text]); a characterization of Prym varieties in terms of ...
openaire +4 more sources