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19912026
most citedGeometric deep learning: going beyond Euclidean data

3.7k citations

Showing 2018 · math.AGShow all

6 papers · 2 filters

math.AG2018

On stable cohomology of central extensions of elementary abelian groups

Fedor Bogomolov, Christian Böhning, Alena Pirutka

We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if th…

math.AG2018★ 1 cited

Brauer groups of involution surface bundles

Andrew Kresch, Yuri Tschinkel

We present an algorithm to compute the Brauer group of involution surface bundles over rational surfaces.

math.AG2018★ 1 cited

Refined Swan conductors mod p of one-dimensional Galois representations

Kazuya Kato, Isabel Leal, Takeshi Saito

For a character of the absolute Galois group of a complete discrete valuation field, we define a lifting of the refined Swan conductor, using higher dimensional class field theory.

math.AG2018★ 2 cited

Involution surface bundles over surfaces

Andrew Kresch, Yuri Tschinkel

We construct models of involution surface bundles over algebraic surfaces, degenerating over normal crossing divisors, and with controlled singularities of the total space.

math.AG2018★ 1 cited

Motivic Euler products and motivic height zeta functions

Margaret Bilu

A motivic height zeta function associated to a family of varieties parametrised by a curve is the generating series of the classes, in the Grothendieck ring of varieties, of moduli…

math.AG2018

Irredundant Triangular Decomposition

Gleb Pogudin, Agnes Szanto

Triangular decomposition is a classic, widely used and well-developed way to represent algebraic varieties with many applications. In particular, there exist sharp degree bounds fo…