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Dimensions of Prym varieties [PDF]
International Journal of Mathematics and Mathematical Sciences, 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
Amy E. Ksir
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MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM [PDF]
Journal of Algebraic Systems, 2018 We investigated maximal Prym varieties on finite fields by attaining their upper bounds on the number of rational points. This concept gave us a motivation for defining a generalized definition of maximal curves i.e. maximal morphisms. By MAGMA, we give
M. Farhadi Sangdehi
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Higher dimensional Shimura varieties in the Prym loci of ramified double covers
Mathematische Nachrichten, Volume 296, Issue 5, Page 1842-1858, May 2023., 2023 Abstract In this paper, we construct Shimura subvarieties of dimension bigger than one of the moduli space Apδ${\mathsf {A}}^\delta _{p}$ of δ‐polarized abelian varieties of dimension p, which are generically contained in the Prym loci of (ramified) double covers.
Paola Frediani +2 more
wiley +3 more sources
Concepts Toward a Global Mechanistic Mapping of Ocean Carbon Export
Global Biogeochemical Cycles, Volume 37, Issue 9, September 2023., 2023 Abstract The gravitational sinking of organic debris from ocean ecosystems is a dominant mechanism of the biological carbon pump (BCP) that regulates the global climate. The fraction of primary production exported downward, the e‐ratio, is an important but poorly constrained BCP metric. In mid‐ and high‐latitude oceans, seasonal and local variations of
Emmanuel C. Laurenceau‐Cornec +8 more
wiley +1 more source
Geometry of Prym semicanonical pencils and an application to cubic threefolds
Mathematische Nachrichten, Volume 296, Issue 7, Page 2918-2941, July 2023., 2023 Abstract In the moduli space Rg$\mathcal {R}_g$ of double étale covers of curves of a fixed genus g, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors Tge$\mathcal {T}^e_g$ and Tgo$\mathcal {T}^o_g$.
Martí Lahoz +2 more
wiley +1 more source
Motives of moduli spaces of bundles on curves via variation of stability and flips
Journal of the London Mathematical Society, Volume 108, Issue 1, Page 1-53, July 2023., 2023 Abstract We study the rational Chow motives of certain moduli spaces of vector bundles on a smooth projective curve with additional structure (such as a parabolic structure or Higgs field). In the parabolic case, these moduli spaces depend on a choice of stability condition given by weights; our approach is to use explicit descriptions of variation of ...
Lie Fu +2 more
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The trigonal construction in the ramified case
Bulletin of the London Mathematical Society, Volume 55, Issue 2, Page 777-792, April 2023., 2023 Abstract To every double cover ramified in two points of a general trigonal curve of genus g$g$, one can associate an étale double cover of a tetragonal curve of genus g+1$g+1$. We show that the corresponding Prym varieties are canonically isomorphic as principally polarized abelian varieties.
Herbert Lange, Angela Ortega
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Bounds on the number of rational points of curves in families
Bulletin of the London Mathematical Society, Volume 55, Issue 2, Page 1019-1032, April 2023., 2023 Abstract In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside of a fixed set of primes. We use that due to Bertin–Romagny, the Kodaira–Parshin families constructed by Lawrence–Venkatesh can themselves be assembled into a ...
Pedro Lemos, Alex Torzewski
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A criterion for density of the isoperiodic leaves in rank one affine invariant orbifolds
Journal of Topology, Volume 16, Issue 1, Page 1-19, March 2023., 2023 Abstract We define on any affine invariant orbifold M$\mathcal {M}$ a foliation FM$\mathcal {F}^{\mathcal {M}}$ that generalizes the isoperiodic foliation on strata of the moduli space of translation surfaces and study the dynamics of its leaves in the rank 1 case.
Florent Ygouf
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Limnology and Oceanography, Volume 68, Issue 2, Page 361-376, February 2023., 2023 Abstract Quantifying phytoplankton composition is critical to predicting marine ecosystem structure and function. DNA meta‐barcoding and high‐performance liquid chromatography (HPLC) pigment analysis are two widely used methods for assessing phytoplankton composition; however, comparing their performance has been done only rarely.
Dylan Catlett +6 more
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