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11 papers · 1 filter
The space of nodal curves of type p,q with given Weierstraßsemigroup
Helmut Knebl, Ernst Kunz, Rolf Waldi
We continue the investigation of curves of type p,q started in [KKW]. We study the space of such curves and the space of nodal curves with prescribed Weierstraßsemigroup. A necessa…
Weierstraßsemigroups and nodal curves of type p,q
Helmut Knebl, Ernst Kunz, Rolf Waldi
We study plane curves of type p,q having only nodes as singularities. Every Weierstraßsemigroup is the Weierstraßsemigroup of such a curve at its place at infinity for properly cho…
The constant of the support problem for abelian varieties
Jeroen Demeyer, Antonella Perucca
Let A be an abelian variety defined over a number field K and let P and Q be points in A(K) satisfying the following condition: for all but finitely many primes p of K, the order o…
Extensions and biextensions of locally constant group schemes, tori and abelian schemes
Cristiana Bertolin
Let S be a scheme. We compute explicitly the group of homomorphisms, the S-sheaf of homomorphisms, the group of extensions, and the S-sheaf of extensions involving locally constant…
Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory
Uwe Jannsen, Shuji Saito
We show the existence of good hyperplane sections for schemes over discrete valuation rings with good or (quasi) semistable reduction, and the existence of good Lefschetz pencils f…
Kato conjecture and motivic cohomology over finite fields
Uwe Jannsen, Shuji Saito
For an arithmetical scheme X, K. Kato introduced a certain complex of Gersten-Bloch-Ogus type whose component in degree a involves Galois cohomology groups of the residue fields of…