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13 papers · 1 filter
Jacobians with complex multiplication
Angel Carocca, Herbert Lange, Rubi E. Rodriguez
We construct and study two series of curves whose Jacobians admit complex multiplication. The curves arise as quotients of Galois coverings of the projective line with Galois group…
Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves
H. Lange, P. E. Newstead
In this paper we consider moduli spaces of coherent systems on an elliptic curve. We compute their Hodge polynomials and determine their birational types in some cases. Moreover we…
Products of Jacobians as Prym-Tyurin varieties
A. Carocca, H. Lange, R. E. Rodriguez +1
Let denote smooth projective curves of genus over an algebraically closed field of characteristic 0 and let denote any integer at least equal to $1…
Prym-Tyurin varieties using self-products of groups
A. Carocca, H. Lange, R. E. Rodriguez +1
Given Prym-Tyurin varieties of exponent with respect to a finite group , a subgroup and a set of rational irreducible representations of satisfying some additional p…
Prym varieties of cyclic coverings
H. Lange, A. Ortega
The Prym map of type (g,n,r) associates to every cyclic covering of degree n of a curve of genus g, ramified at a reduced divisor of degree r, the corresponding Prym variety. We sh…
Moduli spaces of quadratic complexes and their singular surfaces
D. Avritzer, H. Lange
We construct the coarse moduli space $\cM_{qc}(σ)$ of quadratic line complexes with a fixed Segre symbol as well as the moduli space $\cM_{ss}(σ)$ of the corresponding singular…