Results 21 to 30 of about 1,986 (102)
Prym–Tyurin varieties using self-products of groups
Journal of Algebra, 2009 23 ...
Carocca, Angel +3 more
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The Brill-Noether curve and Prym-Tyurin varieties [PDF]
Mathematische Annalen, 2012 We prove that the Jacobian of a general curve C of genus g=2a+1, with g>4, can be realized as a Prym-Tyurin variety for the Brill-Noether curve W^1_{a+2}(C).
Ortega, Angela
core +3 more sources
Kirchhoff’s theorem for Prym varieties [PDF]
Forum of Mathematics, Sigma, 2022 Abstract We prove an analogue of Kirchhoff’s matrix tree theorem for computing the volume of the tropical Prym variety for double covers of metric graphs. We interpret the formula in terms of a semi-canonical decomposition of the tropical Prym variety, via a careful study of the tropical Abel–Prym map. In particular, we show that the map is harmonic,
Yoav Len, Dmitry Zakharov
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, 2022 The article under review reflects the content of the course ``Prym Varieties'', delivered by the authors at the Trieste Algebraic Summer School in 2021. After the first introductory section, the second one recalls some basic notions and properties of the abelian varieties. More precisely, it discusses briefly the Jacobian \(JC\) of a smooth curve \(C\)
Borówka, Paweł, Ortega, Angela
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Prym Varieties of Triple Coverings [PDF]
International Mathematics Research Notices, 2011 21 pages; minor changes in the last section; to appear in International Mathematics Research ...
Lange, Herbert, Ortega, Angela
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Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to demonstrate the rich interaction between the Kowalewski-Painlev\'{e} analysis, the properties of algebraic completely integrable (a.c.i.) systems, the geometry of its Laurent series solutions, and the theory of Abelian ...
Lesfari Ahmed
doaj +1 more source
Journal of the London Mathematical Society, Volume 106, Issue 2, Page 590-661, September 2022., 2022 Abstract Given a generic stable strongly parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundle (E,φ)$({\mathcal {E}}, \varphi )$, we describe the family of harmonic metrics ht$h_t$ for the ray of Higgs bundles (E,tφ)$({\mathcal {E}}, t \varphi )$ for t≫0$t\gg 0$ by perturbing from an explicitly constructed family of approximate solutions ...
Laura Fredrickson +3 more
wiley +1 more source
Degenerations of Prym varieties [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2002 Let $(C, )$ be a stable curve with an involution. Following a classical construction one can define its Prym variety $P$, which in this case turns out to be a semiabelian group variety and usually not complete. In this paper we study the question whether there are ``good'' compactifications of $P$ in analogy to compactified Jacobians.
Alexeev, V., Birkenhake, Ch., Hulek, K.
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Le Matematiche, 2017 We prove an extension of the Babbage-Enriques-Petri theorem for semi-canonical curves. We apply this to show that the Prym variety of a generic element of a codimension $k$ subvariety of $\kr_g$ is not isogenous to another distinct Prym variety, under some mild assumption on $k$.
Roberto Laface, César Martínez
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sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system
Journal of Topology, Volume 15, Issue 1, Page 1-38, March 2022., 2022 Abstract We define and parametrize so‐called sl(2)$\mathfrak {sl}(2)$‐type fibres of the Sp(2n,C)$\mathsf {Sp}(2n,\mathbb {C})$‐ and SO(2n+1,C)$\mathsf {SO}(2n+1,\mathbb {C})$‐Hitchin system. These are (singular) Hitchin fibres, such that spectral curve establishes a 2‐sheeted covering of a second Riemann surface Y$Y$.
Johannes Horn
wiley +1 more source