Results 61 to 70 of about 105 (95)

Pseudoreflections on Prym Varieties

We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudoreflection of geometric origin is the union of three different non-empty explicit irreducible families.
Auffarth, Robert, Lahoz, Martí, Naranjo, Juan Carlos   +2 more
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Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]

Milan J Math, 2022
Varesco M, Voisin C.
europepmc   +1 more source

Prym Varieties and Integrable Systems

, 1992
A new relation between Prym varieties of arbitrary morphisms of algebraic curves and integrable systems is discovered. The action of maximal commutative subalgebras of the formal loop algebra of GL(n) defined on certain infinite-dimensional Grassmannians is studied. It is proved that every finite-dimensional orbit of the action of traceless elements of
Li, Yingchen, Mulase, Motohico
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The Brill–Noether curve and Prym-Tyurin varieties [PDF]

Mathematische Annalen, 2012
7 pages; Minor changes; to appear in Mathematische ...
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Families of Prym varieties of abelian coverings and shimura varieties

Publications de l'Institut Mathematique
Under the condition that the Prym map is injective in characteristic p, we prove that the special subvarieties in the moduli space of abelian varieties of dimension l and polarization type D, Al,D, arising from families of abelian covers of P1 are of a very restrictive nature.
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Geodesic flow on SO(4) and the intersection of quadrics. [PDF]

Proc Natl Acad Sci U S A, 1984
Adler M, van Moerbeke P.
europepmc   +1 more source

SOME RESULTS ON THE MODULI OF RIEMANN SURFACES. [PDF]

Proc Natl Acad Sci U S A, 1961
Baily WL.
europepmc   +1 more source

From Quantum Curves to Topological String Partition Functions II. [PDF]

Ann Henri Poincare
Coman I, Longhi P, Teschner J.
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Prym varieties that are not isomorphic to Jacobian

We study Prym varieties of ramified (at precisely two points) double covers of smooth irreducible complex projectives curves that admit an automorphism of prime order $p>2$. Using Galois theory, we give an explicit constructions of Prym varieties that are not isomorphic to jacobians (even if one ignores the polarizations).
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