Prym varieties of pairs of coverings.
Curves of genus 2 and Desargues configurations.
On Stable and Ample Vector Bundles of Rank 2 on Curves.
Equations for Endomorphisms of Abelian Varieties.
Zur Klassifikation von Regelmannigfaltigkeiten.
Joacobian surfaces in P4.
On elementary transformations of ruled surfaces.
Höhere Sekantenvarietäten und Vektorbündel auf Kurven.
Correction and Remark to "On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p".
On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.
Higher secant varieties of curves and the theorem of Nagata on ruled surfaces.
Normendomophsimen abelscher Varietäten.
Kurven mit rationaler Abbildung.
Über die Modulvarietät der Kurven vom Geschlecht 2.
The exponent of an abelian subvariety.
Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe.
Polarizations of Prym varieties for Weyl groups via abelianization
Let be a Galois covering of smooth projective curves with Galois group the Weyl group of a simple and simply connected Lie group . For any dominant weight consider the curve . The Kanev correspondence defines an abelian subvariety of the Jacobian of . We compute the type of the polarization of the restriction of the canonical principal polarization of to in some cases. In particular, in the case of the group we obtain families of Prym-Tyurin varieties. The main idea is the use of...
On Clifford's theorem for rank-3 bundles.
In this paper we obtain bounds on h(E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g ≥ 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s(E), s(E). We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2.
The Clifford dimension of a projective curve
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