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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 40 for “"characteristic p"”.
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Quotient-singularities in characteristic p
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1980.
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Difference Equations in Fields of Characteristic P
Made available in DSpace on 2014-12-09T22:17:06Z (GMT). No. of bitstreams: 1 6402990.pdf: 2572911 bytes, checksum: 9c1eb88c467b161d32396e2f07cc9e03 (MD5) Previous issue date: 1963
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Representations of Fundamental Groups of Abelian Varieties in Characteristic P
… \leq 1$ over an algebraically closed field of characteristic $p>0$. We compute the number of homomorphisms from $\pi_1^{\text{\'et}}(A_g)$ to $GL_n(\mathbb F_q)$, where $q$ is any power of $p$. We show that for fixed $g$, $\lambda$, and $n$, the number of such representations is polynomial in …
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Computability of rational points on curves over function fields in characteristic p
… curve X over a αnitely generated αeld K of characteristic p. We start with an in-depth study of such curves in general and the tools exclusive to characteristic p geometry needed to compute their K-points. We describe a combined going-down and going-up approach to compute X(K) that …
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On the mod-p representations of unramified U(2,1)
… of non-archimedean local �elds of odd residue characteristic p and let G be the unitary group in three variable U(2; 1)(E=F). In this thesis, we explore the smooth representation theory of G over a �eld ~E of characteristic p. The main results are as follows. Firstly, we have classi�ed the …
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Line Bundles on Projective Homogeneous Spaces
… spaces G/H for a semisimple algebraic group G in characteristic p $>$ 0, where H is a subgroup scheme containing a Borel subgroup B. In characteristic p $>$ 0 there are an infinite number of subgroup schemes containing B--the reduced ones are the ordinary parabolic subgroups P $\supseteq$ B. …
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Irreducible components of the restricted nilpotent commuting variety of G2, F4 and E6 in good characteristic
… the Lie algebra g of a simple algebraic group in characteristic p>0, i.e. the set of x∈g such that x|p| = 0. For representatives e1,...,en of the nilpotent orbits of g we find the irreducible components of gei∩N1 for g = G2 and F4 in good characteristic p. We do the same for g = E6 with the …
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Representations of Cherednik algebras in positive characteristic
… of the rational Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One is the "quantum" case, where "Planck's constant" is nonzero and generic irreducible representations have dimension pr, where r is the order of the cyclic group contained in the algebra. The other is the …
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The Field of Norms Functor and the Hilbert Symbol
… deeply ramified tower $F_.$ a field $\c F$ of characteristic $p$. Separable extensions of $\cal F$ correspond functorially to extensions of $F_.$, giving rise to $\Gamma_{\cal F}\cong \Gamma_{F_{\infty}}\subset \Gamma_F$. We define morphisms $\cal N_{\cal F/F_n}: K_N^t(\cal F)/p^M \to …
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On the Projective Characters of the Finite Chevalley Groups
… We consider the modular representations (in characteristic p) of the group G. More precisely, we study the Brauer characters of G, concentrating on the projective indecomposable characters (those characters afforded by the projective indecomposable modules). The main tool used in the paper is …
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Model Theory of Valued Difference Fields
… present a treatment of valued fields in equal characteristic p > 0 as valued difference fields equipped with the Frobenius endomorphism.
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Counting supercuspidal representations of p-adic groups
… F be a non-archimedean local �eld with residual characteristic p ~= 2. In this thesis we will deduce a formula for the number of irreducible supercuspidal representations of GLN(F), N C 1, with !�($F ) = 1 and level less than or equal to k. Following Blasco, we construct all irreducible …
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Algebraically closed fields with characters; differential-henselian monotone valued differential fields
… F is an algebraic closure of a finite field of characteristic p, C is the field of complex numbers and χ ∶ F → C is an injective, multiplication preserving map. In the second project we study the model theory of the differential-henselian monotone valued differential fields. We also consider …
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Uniform bounds in F-finite rings and their applications /
This dissertation establishes uniform bounds in characteristic p rings which are either F-finite or essentially of finite type over an excellent local ring. These uniform bounds are then used to show that the Hilbert-Kunz length functions and the normalized Frobenius splitting numbers defined on …
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Flatness of the commutator map on special linear groups
… the commutator map on special linear groups in characteristic zero. Specifically, we show that the fibers over non-central elements all have the same dimension. Also we explain that the fibers over central elements can be of larger dimension and compute how large. We use the character tables of …
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Toward a deformation theory for Galois representations of function fields
… of abelian p-power extensions of fields of characteristic p can be extended and refined to allow only restricted ramification at the places of K, and can be a tool for analyzing one-dimensional P-adic representations. We then turn to the problem of classifying those representations which can …
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On extending Scott modules
… groups which admit (B,N)-pairs that are split at characteristic p. The thesis concludes with some considerations about the second relative syzygy with respect to a subgroup Q for a certain class of p-groups P.
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Algebraic geometry and representation theory in the Verlinde category
… over algebraically closed fields of positive characteristic. A specific focus is paid to the Verlinde category, a symmetric fusion category in characteristic p that serves as a universal base for all such categories. Symmetric tensor categories provide a natural setting in which it makes sense …
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Inseparable Field Extensions Which Contain No Purely Inseparable Elements
It is well known that for certain fields K of characteristic p /= 0 there exists finite extensions E/K that are not separable, yet contain no purely inseparable elements. However, the question of when such a phenomenon occurs has not been widely recorded in the literature. Certain of the well known …
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Quantum geometric Langlands correspondence in positive characteristic: the GLN case
… > 1 over an algebraically closed field k of characteristic p > 0, and c [epsilon] k \ Fp. Let BunN be the stack of rank N vector bundles on C and Ldet the line bundle on BunN given by determinant of derived global sections. In this thesis, we construct an equivalence of derived categories of …
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