Results 51 to 60 of about 1,986 (102)
Products of Jacobians as Prym-Tyurin varieties [PDF]
Geometriae Dedicata, 2008 Let $X_1, ..., X_m$ denote smooth projective curves of genus $g_i \geq 2$ over an algebraically closed field of characteristic 0 and let $n$ denote any integer at least equal to $1+\max_{i=1}^m g_i$. We show that the product $JX_1 \times ... \times JX_m$ of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent ...
Carocca Becerra, Ángel Denys +3 more
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Aging Cell, Volume 24, Issue 6, June 2025.PA may delay the onset of age‐related diseases by decelerating biological aging. We found that higher self‐reported amounts of PA in late midlife and device‐based PA in old age were associated with improved MetaboHealth and that reaching twice the amount of the current PA recommendations in late midlife may lead to decelerated biological aging.
Katri Ruutu +5 more
wiley +1 more source
Prym varieties of genus four curves
, 2019 Double covers of a generic genus four curve C are in bijection with Cayley cubics containing the canonical model of C. The Prym variety associated to a double cover is a quadratic twist of the Jacobian of a genus three curve X.
Bruin, Nils, Sertöz, Emre Can
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Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona +3 more
wiley +1 more source
Fourier transform and Prym varieties
Journal für die reine und angewandte Mathematik (Crelles Journal), 2003 Let $P$ be the Prym variety attached to an unramified double covering $\tilde{C} \rightarrow C$. Let $X=X(\tilde{\boldsymbol{C}}, C)$ be the variety of special divisors which birationally parametrizes the theta divisor in $P$. We prove that $X$ is the projectivization of the Fourier-Mukai transform of a coherent sheaf $p_*(M)$, where $M$ is an ...
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Limnology and Oceanography, Volume 70, Issue 1, Page 162-177, January 2025.Abstract Small phytoplankton, consisting of pico and nano size fractions, are diverse in size and taxonomy. Yet, the differences in their productivity and taxonomic diversity are poorly described. Here, we measured the cell‐specific carbon fixation rates of picocyanobacteria Synechococcus, picoeukaryote, and nanoeukaryote populations, while unveiling ...
Denise Rui Ying Ong +7 more
wiley +1 more source
Klein coverings of genus 2 curves
, 2019 We investigate the geometry of \'etale $4:1$ coverings of smooth complex genus 2 curves with the monodromy group isomorphic to the Klein four-group. There are two cases, isotropic and non-isotropic depending on the values of the Weil pairing restricted ...
Borówka, Paweł, Ortega, Angela
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Algebraic cycles on Prym varieties [PDF]
Mathematische Annalen, 2011 entirely rewritten, final ...
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Lagrangian Fibrations by Prym Varieties
Revista Matemática Contemporânea, 2020 We describe and study Lagrangian fibrations including non-compact ones from Hitchin systems and compact ones from the moduli spaces of semi-stable sheaves of some fixed invariant on K3 surfaces. We prove properties of the relative Prym variety P constructed from a double cover of a degree one del Pezzo surface T by a K3 surface S using the bi ...
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, 2021 In this text we prove that if an abelian variety $A$ admits an embedding into the Jacobian of a smooth projective curve $C$, and if we consider $ _A$ to be the divisor $ _C\cap A$, where $ _C$ denotes the theta divisor of $J(C)$, then the embedding of $ _A$ into $A$ induces an injective push-forward homomorphism (under certain conditions) at the ...
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