Representations on the cohomology of M‾ 0, n
The moduli space M‾ 0, n of n pointed stable curves of genus 0 admits an action of the
symmetric group S n by permuting the marked points. We provide a closed formula for the …
symmetric group S n by permuting the marked points. We provide a closed formula for the …
[图书][B] Noncommutative cosmology
M Marcolli - 2018 - World Scientific
The main idea behind noncommutative geometry (see [Connes (1994)] for an extensive
treatment of the subject) lies in the correspondence between spaces and algebras of …
treatment of the subject) lies in the correspondence between spaces and algebras of …
From exceptional collections to motivic decompositions via noncommutative motives
M Marcolli, G Tabuada - Journal für die reine und angewandte …, 2015 - degruyter.com
Making use of noncommutative motives we relate exceptional collections (and more
generally semi-orthogonal decompositions) to motivic decompositions. On one hand we …
generally semi-orthogonal decompositions) to motivic decompositions. On one hand we …
[PDF][PDF] Log concavity of the Grothendieck class of M0, n
P Aluffi, S Chen, M Marcolli - arXiv preprint arXiv:2402.02646, 2024 - math.fsu.edu
Using a known recursive formula for the Grothendieck classes of the moduli spaces M0, n,
we prove that they satisfy an asymptotic form of ultra-log-concavity as polynomials in the …
we prove that they satisfy an asymptotic form of ultra-log-concavity as polynomials in the …
On the cone of effective 2-cycles on
L Schaffler - European Journal of Mathematics, 2015 - Springer
Fulton's question about effective k-cycles on for 1< k< n-4 1< k< n-4 can be answered
negatively by appropriately lifting to the Keel–Vermeire divisors on. In this paper we focus on …
negatively by appropriately lifting to the Keel–Vermeire divisors on. In this paper we focus on …
Wonderful compactifications of the moduli space of points in affine and projective space
P Gallardo, E Routis - European Journal of Mathematics, 2017 - Springer
We introduce and study smooth compactifications of the moduli space of n labeled points
with weights in projective space, which have normal crossings boundary and are defined as …
with weights in projective space, which have normal crossings boundary and are defined as …
Big Bang, blowup, and modular curves: algebraic geometry in cosmology
YI Manin, M Marcolli - SIGMA. Symmetry, Integrability and Geometry …, 2014 - emis.de
We introduce some algebraic geometric models in cosmology related to the''boundaries''of
space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We …
space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We …
[HTML][HTML] Quantum field theory over F1
D Bejleri, M Marcolli - Journal of Geometry and Physics, 2013 - Elsevier
In this paper we discuss some questions about geometry over the field with one element,
motivated by the properties of algebraic varieties that arise in perturbative quantum field …
motivated by the properties of algebraic varieties that arise in perturbative quantum field …
Hilbert schemes of points and Fulton-MacPherson compactifications
D Nesterov - arXiv preprint arXiv:2501.08269, 2025 - arxiv.org
arXiv:2501.08269v1 [math.AG] 14 Jan 2025 Page 1 arXiv:2501.08269v1 [math.AG] 14 Jan
2025 HILBERT SCHEMES OF POINTS AND FULTON–MACPHERSON COMPACTIFICATIONS …
2025 HILBERT SCHEMES OF POINTS AND FULTON–MACPHERSON COMPACTIFICATIONS …
Higher-dimensional Losev-Manin spaces and their geometry
The classical Losev-Manin space can be interpreted as a toric compactification of the moduli
space of $ n $ points in the affine line modulo translation and scaling. Motivated by this, we …
space of $ n $ points in the affine line modulo translation and scaling. Motivated by this, we …