Hasse invariant
WebJul 17, 2015 · Strata Hasse invariants, Hecke algebras and Galois representations. We construct group-theoretical generalizations of the Hasse invariant on strata closures of … WebThen, in Section5, we compute the Hasse invariant of different models of elliptic curves, in order to assess whether some models lead to sparser Hasse invariants. In Proposition5.10we also prove a special property of the Hasse invariant of a supersingular elliptic curve in Montgomery form - namely, it splits completely over F p2.
Hasse invariant
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WebHasse invariant p-adic modular forms Hasse invariant and supersingular elliptic curves Remark Suppose R is a field with char(R) = p. Then E is supersingular if and only if A(E,ω) = 0 for any choice of ω. Over F p, the key relation is #E(F p) = 1 + p −tr F∗ abs: H 1(E,O E) →H1(E,O) . Note that F∗ abs is multiplication by A(E,ω), so ... WebMay 24, 2014 · Hasse invariants for Hilbert modular varieties E. Goren Mathematics 2001 AbstractGiven a totally real fieldL of degreeg, we constructg Hasse invariants on Hilbert modular varieties in characteristicp and characterize their divisors. We show that these divisors give the… 49
WebJul 1, 2024 · The main idea is to compute a lift of the Hasse invariant (modulo the polynomial f ∈ F q [x] to be factored) with respect to a random Drinfeld module ϕ with … WebFeb 26, 2024 · The Hasse invariant p-ADIC MODULAR FORMS À LA KATZ MURILO ZANARELLA Abstract. These are notes from a talk given at STAGE about Chapter 2 of …
In mathematics, the Hasse invariant (or Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K). The name "Hasse–Witt" comes from Helmut Hasse and Ernst Witt. The quadratic form Q may be taken as a diagonal form Σ aixi . WebHasse invariant becomes a (p−1)st power after a field extension of degree (p−1)/2 it was a square to begin with, and the j-invariant is unchanged by field extensions. Finally, this …
WebIn mathematics, the Hasse invariant (or Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K).The name "Hasse–Witt" comes from Helmut Hasse and Ernst Witt.. The quadratic form Q may be taken as a diagonal form. Σ a i x i 2.. Its invariant is then defined as the product of the classes in the Brauer group of all the …
WebApr 14, 2024 · Recently Concluded Data & Programmatic Insider Summit March 22 - 25, 2024, Scottsdale Digital OOH Insider Summit February 19 - 22, 2024, La Jolla in the easeWeb12 hours ago · This field has u-invariant 2 r, so this dimension is a natural first place to look for counterexamples to the Hasse principle for isotropy, as any quadratic form of dimension > 2 r is isotropic over K, thus automatically satisfies the Hasse principle for isotropy. in the ear vs behind the ear hearing aidsWebFinally, in Section 6, we prove that the Hasse invariant h has no repeated factors. (The authors are unsure if this was a known result. In any event, a new proof is given.) Although this is of independent interest, it also has an application to the formulas for the A iand B i coming from the j-invariant construction: let h def= h a a(h) b b(h) new hope chapelWebThe classical Hasse invariant satisfies the following four properties: (Ha1) The non-vanishing locus of H is the ordinary locus of sh, namely the locus of points where the underlying abelian variety is ordinary. (Ha2) The construction of H is compatible with varying the prime-to-p level. in the earth wikiWebMay 1, 2004 · Using the theory of elliptic curves, we show that the class number h(−p) of the field Q (−p) appears in the count of certain factors of the Legendre polynomials P m (x) (mod p), where p is a prime >3 and m has the form (p−e)/k, with k=2,3 or 4 and p≡e (mod k).As part of the proof we explicitly compute the Hasse invariant of the Hessian curve y 2 … new hope chapel norwell maWebDec 16, 2024 · q = a 1 x 1 2 + ⋯ + a n x n 2. be a quadratic form over some p -adic field Q p. We thus have its Hasse invariant. h ( q) = ∏ 1 ≤ i < j ≤ n ( a i, a j) p ∈ { ± 1 }, where ( a i, a j) p is the usual Hilbert symbol. Let C ( q) be the Clifford algebra associated to q. If n is even, this is a central simple algebra; in fact, it is a ... new hope chapel norwellWebthe Hasse invariant is a product of partial Hasse invariants, each of which can be expressed in terms of primitive Hasse invariants. We then show that the dual of the p-divisible group naturally satisfies a Pappas-Rapoport condition, and prove the … new hope chapel plymouth