Abstract. Let C be a smooth curve in P2 given by an equation F = 0 of degree d. In this paper we consider elementary transformations of linear pfaffian rep-resentations of C. Elementary transformations can be interpreted as actions on a rank 2 vector bundle on C with canonical determinant and no sections, which corresponds to the cokernel of a pfaffian representation. Every two pfaffian rep-resentations of C can be bridged by a finite sequence of elementary transforma-tions. Pfaffian representations and elementary transformations are constructed explicitly. For a smooth quartic, applications to Aronhold bundles and theta characteristics are given. 1
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We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object call...
Given a general ternary form f = f(x(1), x(2), x(3)) of degree 4 over an algebraically closed field ...
AbstractLet C be a smooth curve in P2 given by an equation F=0 of degree d. In this paper we conside...
AbstractWe study elementary transformations, first introduced by Livsic and Kravitsky in an operator...
AbstractDeterminantal representations of algebraic curves are interesting in themselves, and their c...
If C is a smooth projective curve over an algebraically closed field F and G is a subgroup of automo...
After a general discussion of group actions, orbifolds, and weak orbifolds, this note will provide e...
Let C = {(X;Y;Z) ∈ P2;F (X,Y, Z) = 0} be a projective curve and let Ca = {f(x, y) = 0} ⊂ C2 be t...
International audienceWe study new families of curves that are suitable for efficiently parametrizin...
In this paper we apply the theory of quasi-free states of CAR algebras and their Bogolubov automorp...
We prove a discrete time analogue of Moser's normal form (1967) of real analytic perturbations of ve...
Abstract. We study new families of curves that are suitable for efficiently spanning their moduli sp...
Abstract. We compute the fundamental groups of non-singular analytic Deligne-Mumford curves, classif...
AbstractThe p-rank of an algebraic curve X over an algebraically closed field k of characteristic p>...
AbstractLet C be an irreducible smooth projective curve defined over an algebraically closed field k...
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object call...
Given a general ternary form f = f(x(1), x(2), x(3)) of degree 4 over an algebraically closed field ...
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