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When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Arithmetic Intersection Theory on Flag Varieties     Flag Varieties  Arithmetic Intersection       font style='font-size:12px;'> 2015/12/17
Let F be the complete °ag variety over SpecZ with the tautological ˉltration 0 ½ E1 ½ E2 ½ ¢ ¢ ¢ ½ En = E of the trivial bundle E of rank n over F. The trivial hermitian metric o...
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli space of curves, parametrizing curves expressible as branched covers of P 1 with given ramification...
We consider sparse random intersection graphs with the property that the clustering coefficient does not vanish as the number of nodes tends to infinity. We find explicit asymptotic expressions for th...
The first part of this paper exposits a simple geometric description of the Kirby-Siebenmann invariant of a 4--manifold in terms of a quadratic refinement of its intersection form. This is the first i...
We address the issue of generating cutting planes for mixed integer programs from multiple rows of the simplex tableau with the tools of disjunctive programming. A cut from q rows of the simplex table...
Intersection theory on Shimura surfaces II     Intersection theory  Shimura surfaces II  Number Theory       font style='font-size:12px;'> 2012/3/1
This is the third of a series of papers relating intersections of special cycles on the integral model of a Shimura surface to Fourier coefficients of Hilbert modular forms. More precisely, we embed t...
Intersection theory on Shimura surfaces     Intersection theory  Shimura surfaces  intersection multiplicities       font style='font-size:12px;'> 2012/3/1
Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowest dimensional case, ...
Abstract: In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider generically complete...
Abstract: We study to which extent cyclic Kummer extensions can be contained in a cyclotomic extension. Let K be a field, and consider an extension of K of the form K(z_m, sqrt[n]{a}) where a is in K,...
Abstract: We show that the Stanley's Conjecture holds for an intersection of three monomial primary ideals of a polynomial algebra S over a field.
The sizes of the intersection of two unitals in PG$(2,q^2)$     unital  Hermitian variety  incidence matrix  p-adic ring       font style='font-size:12px;'> 2011/8/31
Abstract: We show that the size of the intersection of a Hermitian variety in $\PG(n,q^2)$, and any set satisfying an $r$-dimensional-subspace intersection property, is congruent to 1 modulo a power o...
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
We consider the interlacement Poisson point process on the space of doubly-infinite Zd-valued trajectories modulo time shift, tending to infinity at positive and negative infinite times. The set of v...
On intersection of two embedded spheres in 3-space      intersection  two embedded spheres  3-space        font style='font-size:12px;'> 2011/1/18
We find necessary and sufficient conditions on sequences x = x1, x2, . . . , xn, y = y1, y2, ..., yn of positive integers, for existence of embeddings f, g : S2 → R3 such that S2 − g−1(S2)...

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