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We extend some recent results on the differentiability of torsion theories. In particular, we generalize the concept of ( , )-derivation to ( , )-higher derivation and demonstrate that a filter of a...
The purpose of this paper is to describe several applications of finiteness properties of F- finite F-modules recently discovered by M. Hochster in [H] to the study of Frobenius maps on injective hu...
The equations of motion of multiple M0–brane (multiple M-wave or mM0) system in an arbitrary D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter-action w...
Let 􀀀  PU(2, 1) be a lattice which is not co-compact, of finite Bergman-covolume and acting freely on the open unit ball B  C2. Then the compactification X = 􀀀 \ B is a smooth proj...
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...
We compute the covariance of the weight distribution in level 1 Demazure modules of bsl2. The crucial step is to compute the variance of the degree distribution. This also allows us to prove the weak ...
Let p be a prime number, G a finite group, P a p-subgroup of G and k an algebraically closed field of characteristic p. We study the relationship between the category FP (G) and the behavior of p-perm...
We define tilting mutations of symmetric algebras as the endomorphism algebras of Okuyama-Rickard complexes. For Brauer tree algebras, we give an explicit description of the change of Brauer trees un...
The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initi...
We study the inclusion system of the quantum deformed 2 dimensional Yang-Mills root module to the graded root module of the U-dual modular group. The irreducible representation of the U-dual modular g...
Let  : SL(2,Z) → GL(2,C) be an irreducible representation of the modular group such that (T) has finite order N. We study holomorphic vector-valued modular forms F( ) of integral weight associated ...
In this note we look at the moduli space R3,2 of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Verra in [BCV].
Here we prove that Benford’s law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessa...
For any integer k > 0, the Bott class k in topological complex K-theory is well known [7], [12, pg. 259].

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