Results 1 to 10 of about 228 (30)

Face module for realizable Z-matroids [PDF]

open access: yes, 2018
In this work, we define the face module for a realizable matroid over Z. Its Hilbert series is, indeed, the expected specialization of the Grothendieck - Tutte polynomial defined by Fink and Moci.
Martino, Ivan
core   +3 more sources

Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring [PDF]

open access: yes, 2015
We show that two blocks of generalized quaternion defect with three simple modules over a sufficiently large 2-adic ring O are Morita-equivalent if and only if the corresponding blocks over the residue field of O are Morita-equivalent.
Eisele, F.
core   +4 more sources

Self cup products and the theta characteristic torsor [PDF]

open access: yes, 2011
We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing.Comment: 13 ...
Poonen, Bjorn, Rains, Eric
core   +3 more sources

Character sums associated to finite Coxeter groups

open access: yes, 1998
We prove a character sum identity for Coxeter arrangements which is a finite field analogue of Macdonald's conjecture proved by Opdam.Comment: 20 pages, to appear in Transactions of the A.M.
Denef, J., Loeser, F.
core   +4 more sources

Classification of full exceptional collections of line bundles on three blow-ups of $\mathbb{P}^{3}$

open access: yes, 2018
A fullness conjecture of Kuznetsov says that if a smooth projective variety $X$ admits a full exceptional collection of line bundles of length $l$, then any exceptional collection of line bundles of length $l$ is full.
Liu, Wanmin, Yang, Song, Yu, Xun
core   +1 more source

Connes-amenability of bidual and weighted semigroup algebras

open access: yes, 2005
We investigate the notion of Connes-amenability for dual Banach algebras, as introduced by Runde, for bidual algebras and weighted semigroup algebras. We provide some simplifications to the notion of a $\sigma WC$-virtual diagonal, as introduced by Runde,
Daws, Matthew
core   +1 more source

Toric residue and combinatorial degree [PDF]

open access: yes, 2003
Consider an n-dimensional projective toric variety X defined by a convex lattice polytope P. David Cox introduced the toric residue map given by a collection of n+1 divisors Z_0,...,Z_n on X. In the case when the Z_i are T-invariant divisors whose sum is
Soprounov, Ivan
core   +4 more sources

Champs de Hurwitz

open access: yes, 2002
On construit les champs de Hurwitz et on en donne quelques propri\'et\'es, essentiellement contenues dans SGA 1. Quelques applications de nature arithm\'etique en sont d\'eduites.
Chambert-Loir, Antoine
core   +1 more source

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