Structural Aspects of the Algebro-geometricSupermanifolds and Superdistributions

Structural Aspects of the Algebro-geometricSupermanifolds and Superdistributions

Lourenço, José André

Artigo Completo:

In this work, we analyse of the some structural aspects of algebro-geometric supermanifolds via Sheaf techniques and Algebraic Microlocal Analysis. The view contains a new construction of superdistribution and useful results on the wavefront set of such objects in algebro-geometric approach.

In this work, we analyse of the some structural aspects of algebro-geometric supermanifolds via Sheaf techniques and Algebraic Microlocal Analysis. The view contains a new construction of superdistribution and useful results on the wavefront set of such objects in algebro-geometric approach.

Palavras-chave:

DOI: 10.5151/phypro-vi-efa-029

Referências bibliográficas

• [1] Manin, Y. I. (1998). Gauge Field Theory and Complex Geometry, Springer-Verlag.
• [2] Franco, D.H.T. and Polito C. M. M. (2004). Supersymmetric Field-Theoretic Models on a Supermanifold, J. Math. Phys. 45, 1447.
• [3] Rogers, A. (2007). Supermanifolds: Theory and Applications, World Scientific.
• [4] Bartocci, C., Bruzzo, U., and Ruip´erez, D. H. (1991). The Geometry of Supermanifolds, Kluwer, Dordrecht.
• [5] J. A. Lourenc¸o. Some remarks on the algebro-geometric approach to supermanifolds, work in progress.
• [6] Franco, D.H.T. (2007). A Note on Superdistributions and Wavefront Set, Int. J. Theor. Phys. 46, 207.
• [7] Kato, G., Struppa, D. C. (1999). Fundamentals of Algebraic Microlocal Analysis, Marcel Dekker, Inc.

Como citar:

Lourenço, José André; "Structural Aspects of the Algebro-geometricSupermanifolds and Superdistributions", p-125-129. In: Anais do VI Encontro Científico de Física Aplicada [=Blucher Physics Proceedings, v.2, n.1].. São Paulo: Blucher, 2015.
ISSN 23582359, DOI 10.5151/phypro-vi-efa-029