Invariants of Pfaffian Systems 515
نویسنده
چکیده
منابع مشابه
Margarita Korovina
Pfaffian Hybrid Systems. Pfaffian hybrid systems, which we recently introduced in [18], are a sub-class of o-minimal hybrid systems which capture rich continuous dynamics and yet can be studied using finite bisimulations. In particular Pfaffian hybrid systems include hybrid systems with continuous dynamics definable by functions such as exp, sin, cos, and other trigonometric functions in approp...
متن کاملOn Block Partial Linearizations of the Pfaffian
Amitsur's formula, which expresses det(A + B) as a polynomial in coefficients of the characteristic polynomial of a matrix, is generalized for partial linearizations of the pfaffian of block matrices. As applications, in upcoming papers we determine generators for the SO(n)-invariants of several matrices and relations for the O(n)-invariants of several matrices over a field of arbitrary charact...
متن کاملA ug 2 00 6 On block partial linearizations of the pfaffian . A . A
Amitsur's formula, which expresses det(A + B) as a polynomial in coefficients of the characteristic polynomial of a matrix, is generalized for partial linearizations of the pfaffian of block matrices. As an applications, in up-coming papers we determine generators for the SO(n)-invariants of several matrices and relations for the O(n)-invariants of several matrices over a field of arbitrary cha...
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Let G be a finite group acting freely on a smooth projective scheme X over a locally compact field of characteristic 0. We show that the ε0-constants associated to symplectic representations V of G and the action of G on X may be determined from Pfaffian invariants associated to duality pairings on Hodge cohomology. We also use such Pfaffian invariants, along with equivariant Arakelov Euler cha...
متن کامل2 6 Fe b 20 09 On block partial linearizations of the pfaffian . A . A
Amitsur's formula, which expresses det(A + B) as a polynomial in coefficients of the characteristic polynomial of a matrix, is generalized for partial linearizations of the pfaffian of block matrices. As applications, in upcoming papers we determine generators for the SO(n)-invariants of several matrices and relations for the O(n)-invariants of several matrices over a field of arbitrary charact...
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