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On a certain generalization of spherical twists

Yukinobu Toda (2007)

Bulletin de la Société Mathématique de France

This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of ( 0 , - 2 ) -curves on threefolds, or deforming -objects introduced by D.Huybrechts and R.Thomas.

On a problem of Seiberg and Witten

David E. Barrett (1998)

Annales Polonici Mathematici

We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve I m a D / a = 0 .

On a stratification of the moduli of K3 surfaces

Gerard van der Geer, T. Katsura (2000)

Journal of the European Mathematical Society

In this paper we give a characterization of the height of K3 surfaces in characteristic p > 0 . This enables us to calculate the cycle classes in families of K3 surfaces of the loci where the height is at least h . The formulas for such loci can be seen as generalizations of the famous formula of Deuring for the number of supersingular elliptic curves in characteristic p . In order to describe the tangent spaces to these loci we study the first cohomology of higher closed forms.

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