Parameter spaces for quadrics
The parameter spaces for quadrics are reviewed. In addition, an explicit formula for the number of quadrics tangent to given linear subspaces is presented.
Pfaffians, central simple algebras and similtudes.
Pfister Ideals in Witt Rings.
Pfister's conjecture on quadratic Co-fields.
Primitive representation of a binary quadratic form as a sum of four squares
Principe de Hasse pour les espaces principaux homogènes sous les groupes classiques sur un corps de dimension cohomologique virtuelle au plus 1.
Projective geometry for orthogonal groups.
Projective homogeneous varieties birational to quadrics.
Proper cycles of indefinite quadratic forms and their right neighbors
In this paper we consider proper cycles of indefinite integral quadratic forms with discriminant . We prove that the proper cycles of can be obtained using their consecutive right neighbors for . We also derive explicit relations in the cycle and proper cycle of when the length of the cycle of is odd, using the transformations and .