Hasse-Witt invariants for (α, u)-reflexive forms and automorphisms. I: Algebraic K2-valued Hasse-Witt invariants
نویسندگان
چکیده
منابع مشابه
Uniform Distribution of Hasse Invariants
I. Schur's study of simple algebras around the turn of the century, nd subsequent investigations by R. Brauer, E. Witt and others, were later reformulated in terms of what is now called the Schur subgroup of the Brauer group. During the last twenty years this group has generated substantial interest and numerous palatable results have ensued. Among these is the discovery that elements of the Sc...
متن کاملHasse Invariants for Hilbert Modular Varieties
Given a totally real field L of degree g, we construct g Hasse invariants on Hilbert modular varieties in characteristic p and characterize their divisors. We show that these divisors give the type stratification defined by the action of {~L o n the ap-elementary subgroup. Under certain conditions, involving special values of zeta functions, the product of these Hasse invariants is the reductio...
متن کاملHasse Invariants for the Clausen Elliptic Curves
Gauss’s 2F1 ( 1 2 1 2 1 | x ) hypergeometric function gives periods of elliptic curves in Legendre normal form. Certain truncations of this hypergeometric function give the Hasse invariants for these curves. Here we study another form, which we call the Clausen form, and we prove that certain truncations of 3F2 ( 1 2 1 2 1 2 1 1 | x ) and 2F1 ( 1 4 3 4 1 | x ) in Fp[x] are related to the charac...
متن کاملAutomorphisms and Twisted Forms of Generalized Witt Lie Algebras
We prove that the automorphisms of the generalized Witt Lie algebras W(m , n) over arbitrary commutative rings of characteristic p > 3 all come from automorphisms of the algebras on which they are defined as derivations. By descent theory, this result then implies that if a Lie algebra over a field becomes isomorphic to W{m, n) over the algebraic closure, it is a derivation algebra of the type ...
متن کاملOn Topological Invariants of Stratified Maps with Non-witt Target
The Cappell-Shaneson decomposition theorem for self-dual sheaves asserts that on a space with only even-codimensional strata any selfdual sheaf is cobordant to an orthogonal sum of twisted intersection chain sheaves associated to the various strata. In sharp contrast to this result, we prove that on a space with only odd-codimensional strata (not necessarily Witt), any self-dual sheaf is cobord...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1977
ISSN: 0021-8693
DOI: 10.1016/0021-8693(77)90193-4