Concept
Characteristic class
Related publications (59)
Arithmetic and geometric deformations of threefolds
Stefano Filipazzi, Fabio Bernasconi
We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic a ...
Hoboken2023Dense Packings via Lifts of Codes to Division Rings
Nihar Prakash Gargava, Vlad Serban
obtain algorithmically effective versions of the dense lattice sphere packings constructed from orders in Q-division rings by the first author. The lattices in question are lifts of suitable codes from prime characteristic to orders O in Q-division rings a ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023Unconventional Flat Chern Bands and 2e Charges in Skyrmionic Moire Superlattices
The interplay of topological characteristics in real space and reciprocal space can lead to the emergence of unconventional topological phases. In this Letter, we implement a novel mechanism for generating higher-Chern flat bands on the basis of twisted bi ...
AMER CHEMICAL SOC2023Gerstenhaber structure on Hochschild cohomology of the Fomin–Kirillov algebra on 3 generators
The goal of this article is to compute the Gerstenhaber bracket of the Hochschild cohomology of the Fomin–Kirillov algebra on three generators over a field of characteristic different from 2 and 3. This is in part based on a general method we introduce to ...
2022Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic
Let X /S be a flat algebraic stack of finite presentation. We define a new & eacute;tale fundamental pro-groupoid pi(1)(X /S), generalizing Grothendieck's enlarged & eacute;tale fundamental group from SGA 3 to the relative situation. When S is of equal pos ...
GEOMETRY & TOPOLOGY PUBLICATIONS2022Landau levels of the Euler class topology
Two-dimensional systems with C2T (PT) symmetry exhibit the Euler class topology E is an element of Z in each two-band subspace realizing a fragile topology beyond the symmetry indicators. By systematically studying the energy levels of Euler insulating pha ...
AMER PHYSICAL SOC2022Serre-Tate theory for Calabi-Yau varieties
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips the base of its universal deformation with a Frobenius lifting and canonical multipl ...
WALTER DE GRUYTER GMBH2021The role of convolutional neural networks in scanning probe microscopy: a review
Progress in computing capabilities has enhanced science in many ways. In recent years, various branches of machine learning have been the key facilitators in forging new paths, ranging from categorizing big data to instrumental control, from materials desi ...
BEILSTEIN-INSTITUT2021Global Frobenius liftability I
We formulate a conjecture characterizing smooth projective varieties in positive characteristic whose Frobenius morphism can be lifted modulo p(2)-we expect that such varieties, after a finite stale cover, admit a toric fibration over an ordinary abelian v ...
EUROPEAN MATHEMATICAL SOC-EMS2021Generic vanishing in characteristic p > 0 and the geometry of theta divisors
In this paper, we prove a strengthening of the generic vanishing result in characteristic p > 0 given in Hacon and Patakfalvi (Am J Math 138(4):963-998, 2016). As a consequence of this result, we show that irreducible Theta divisors are strongly F-regular ...
SPRINGER INTERNATIONAL PUBLISHING AG2021