Related papers: Shokurov's index conjecture for quotient singulari…
We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.
We provide a proof of a variant of the Landau-Siegel Zeros conjecture.
We prove a duality theorem for quantum groupoid (weak Hopf algebra) actions that extends the well-known result for usual Hopf algebras.
We prove the Strong Jacobi Bound Conjecture for generically reduced components of differential schemes.
We prove results generalizing the classical Riemann Singularity Theorem to the case of integral, singular curves. The main result is a computation of the multiplicity of the theta divisor of an integral, nodal curve at an arbitrary point.…
In this note, we derive a Leibniz rule for difference quotient.
We prove Simon's conjecture for 3-manifolds.
We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix…
Let $G\subseteq GL(n)$ be a finite group without pseudo-reflections. We present an algorithm to compute and verify a candidate for the Cox ring of a resolution $X\rightarrow \mathbb{C}^n/G$, which is based just on the geometry of the…
We provide a self-contained proof of the main properties of Brauer quotients of Young modules. We then use these results to give a new inductive proof of Nakayama's Conjecture on the blocks of the symmetric group.
We prove Manin's conjecture over imaginary quadratic number fields for a cubic surface with a singularity of type E_6.
We give a simple proof of Bourgain's theorem on the singularity of Ornstein's maps.
The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is…
We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson's recurrence arXiv:math/0306304. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded…
We study some versions of the statement of Hadwiger's conjecture for finite as well as infinite graphs.
We extend the authors' previous work on Wiener-Wintner double recurrence theorem to the case of polynomials.
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
In this note, we prove that there exist infinite dimensional excellent rings.
We prove a generalization of the Hasumi's Direct Cauchy Theorem property for the derivatives (Theorem 2.2).
Let $X$ be a projective algebraic $d$-variety endowed with isolated determinantal singularities, and let $\omega$ be a $1$-form on $X$ exhibiting a finite number of singularities (in the stratified sense). Under some technical conditions,…