output
19992026
most citedEuclid. I. Overview of the Euclid mission

550 citations

925 papers

math.LO2026

From Cell Decomposition to Motivic Integration, Hensel Minimality, and Point Counting

Raf Cluckers

Following Macintyre's quantifier elimination result for semi-algebraic -adic sets from 1976, Denef's cell decomposition from 1984 has played a catalyzing role for both motivic i…

math.DG2026

Canonical metric on a mildly singular Kähler varieties with an intermediate log Kodaira dimension

Hassan Jolany

Existence of canonical metric on a canonical model of projective singular variety was a long standing conjecture and the major part of this conjecture is about varieties which do n…

math.DG2026

Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current

Hassan Jolany

In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with W…

math.DG2026

Generalized Sasaki-Einstein metric twisted with Weil-Petersson metric

Hassan Jolany

Existence of canonical metric on a Sasakian variety was a long standing conjecture and the major part of this conjecture is about varieties which do not have definite basic first C…

math.NT2026★ 3 cited

Improving on the Brun-Titchmarsh Theorem

Olvier Ramaré, Jan Christoph Schlage-Puchta

We prove that the number of primes in an interval of length is at most when is large enough. This is obtained through a sieving process which can be seen…

math.OC2026

Semi-discrete convex order and Laguerre tessellation fitting

David P. Bourne, Thomas Gallouët, Quentin Mérigot +1

Laguerre tessellations offer an efficient way to parameterize a large class of convex partitions of Euclidean space using only a set of points and scalar weights. For this reason,…