Results 11 to 20 of about 41,040 (116)
Local cohomology of logarithmic forms [PDF]
Let Y be a divisor on a smooth algebraic variety X. We investigate the geometry of the Jacobian scheme of Y, homological invariants derived from logarithmic differential forms along Y, and their relationship with the property that Y is a free divisor ...
Denham, Graham +4 more
core +2 more sources
Cohomology operations and algebraic geometry [PDF]
The manuscript is an overview of the motivations and foundations lying behind Voevodsky's ideas of constructing categories similar to the ordinary topological homotopy categories.
Borghesi, Simone
core +3 more sources
Topology of Exceptional Orbit Hypersurfaces of Prehomogeneous Spaces [PDF]
We consider the topology for a class of hypersurfaces with highly nonisolated singularites which arise as exceptional orbit varieties of a special class of prehomogeneous vector spaces, which are representations of linear algebraic groups with open ...
Bruce +4 more
core +3 more sources
Resonance varieties and Dwyer-Fried invariants [PDF]
The Dwyer-Fried invariants of a finite cell complex X are the subsets \Omega^i_r(X) of the Grassmannian of r-planes in H^1(X,\Q) which parametrize the regular \Z^r-covers of X having finite Betti numbers up to degree i.
Suciu, Alexander I.
core +3 more sources
The smooth Whitehead spectrum of a point at odd regular primes [PDF]
Let p be an odd regular prime, and assume that the Lichtenbaum-Quillen conjecture holds for K(Z[1/p]) at p. Then the p-primary homotopy type of the smooth Whitehead spectrum Wh(*) is described.
Adams +32 more
core +5 more sources
Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes [PDF]
We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d gauge theory with
Intriligator, Kenneth +4 more
core +1 more source
Regulators and cycle maps in higher-dimensional differential algebraic K-theory [PDF]
We develop differential algebraic K-theory of regular arithmetic schemes. Our approach is based on a new construction of a functorial, spectrum level Beilinson regulator using differential forms.
Bunke, Ulrich, Tamme, Georg
core +1 more source
Socle finiteness of local cohomology modules and Gorenstein ideals
The purpose of this paper is to give some equivalent conditions to the socle and Bass numbers' conjectures which raised by C. Huneke in (Problems on local cohomology, Free resolutions in commutative algebra and algebraic geometry, Res. Notes Math.
Bahmanpour, Kamal +2 more
core +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source

