Publications associées à A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves

Publications associées (34)

Zeros of the Brownian Sheet

In this work, we firstly answer to a question raised by Khoshnevisan (Trans Am Math Soc 359:3125-3151, 2007) [Open Problem 4] by proving that almost surely there is no projection of big enough rank changing the Hausdorff dimension of the zeros of the Brown ...

SPRINGER/PLENUM PUBLISHERS2025

HYPERBOLA METHOD ON TORIC VARIETIES

Marta Pieropan

We develop a very general version of the hyperbola method which extends the known method by Blomer and Brudern for products of projective spaces to complete smooth split toric varieties. We use it to count Campana points of bounded log-anticanonical height ...

Ecole Polytechnique2024

The Influence of Micro- and Macrocracks on the Permeability of Granite

Marie Estelle Solange Violay

Damage zones exist around crustal faults, where micro- and macrocracks coexist and form a complex conduit network for fluid flow. The permeability of these zones can change rapidly as the crack network evolves during deformation. To investigate the relativ ...

SPRINGER WIEN2024

Drag reduction of flexible disks through vortex ring manipulation

Mrudhula Baskaran

Extreme weather events are increasing in frequency in recent years due to global climate change. These events damage infrastructure and pose an open challenge to engineers to design more weather-resistant infrastructure. As engineers, we turn to nature fo ...

EPFL2024

A new high-pressure high-temperature deformation apparatus to study the brittle to ductile transition in rocks

Michel Teuscher, Laurent Fabrice Morier, Henri Joseph François Gilles Leclère, Marie Estelle Solange Violay, Mateo Alejandro Acosta, Gabriel Gérard Dominique Meyer

Understanding the micro-mechanisms underlying the localized-ductile transition (LDT) as well as the brittle-plastic transition (BPT) has become crucial for our wider understanding of crustal processes and seismicity. Given how difficult in situ observation ...

2023

The cohomology of semi-simple Lie groups, viewed from infinity

Nicolas Monod

We prove that the real cohomology of semi-simple Lie groups admits boundary values, which are measurable cocycles on the Furstenberg boundary. This generalises known invariants such as the Maslov index on Shilov boundaries, the Euler class on projective sp ...

2022

Towards a predictive multi-phase model for alpine mass movements and process cascades

Johan Alexandre Philippe Gaume, Xingyue Li, Lars Kristoffer Uhlen Blatny, Bertil Trottet, Alessandro Cicoira

Alpine mass movements can generate process cascades involving different materials including rock, ice, snow, and water. Numerical modelling is an essential tool for the quantification of natural hazards. Yet, state-of-the-art operational models are based o ...

2022

Machine learning for metallurgy V: A neural-network potential for zirconium

William Curtin, Pandula Manura Liyanage

The mechanical performance-including deformation, fracture and radiation damage-of zirconium is determined at the atomic scale. With Zr and its alloys extensively used in the nuclear industry, understanding that atomic scale behavior is crucial. The defect ...

2022

Deformation twinning mechanism in magnesium at the microscale: strain rate, temperature and orientation effects

Nicolò Maria Della Ventura

The project aims to validate some recent theoretical developments on the deformation twinning nucleation mechanism in HCP metals through small-scale mechanic experiments. To this end, a systematic investigation of the mechanical response of pure magnesium ...

EPFL2022

A geographical study of (M)over-bar(2)(P-2, 4)(main)

Francesca Carocci

We discuss criteria for a stable map of genus two and degree 4 to the projective plane to be smoothable, as an application of our modular desingularisation of (M) over bar (2,n)(P-r, d)(main) via logarithmic geometry and Gorenstein singularities. ...

WALTER DE GRUYTER GMBH2022

Conjugation spaces are cohomologically pure

Jérôme Scherer

Conjugation spaces are equipped with an involution such that the fixed points have the same mod 2 cohomology (as a graded vector space, a ring, and even an unstable algebra) but with all degrees divided by 2, generalizing the classical examples of complex ...

WILEY2021

Realizing doubles: a conjugation zoo

Jérôme Scherer

Conjugation spaces are topological spaces equipped with an involution such that their fixed points have the same mod 2 cohomology (as a graded vector space, a ring and even an unstable algebra) but with all degrees divided by two, generalizing the classica ...

CAMBRIDGE UNIV PRESS2021

Examples of normal, not geometrically normal, projective Gorenstein del Pezzo surfaces with at most Du Val singularities

Ursina Schweizer

While over fields of characteristic at least 5, a normal, projective and Gorenstein del Pezzo surface is geometrically normal, this does not hold for characteristic 2 and 3. There is no characterization of all such non-geometrically normal surfaces, but th ...

EPFL2021

Serre-Tate theory for Calabi-Yau varieties

Maciej Emilian Zdanowicz

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 GMBH2021

Efficient and side-channel-aware implementations of elliptic curve cryptosystems over prime fields

Yusuf Leblebici

Elliptic curve cryptosystems (ECCs) are utilised as an alternative to traditional public-key cryptosystems, and are more suitable for resource-limited environments because of smaller parameter size. In this study, the authors carry out a thorough investiga ...

2010

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

Elastostatic loading of metallic glass-crystal nanocomposites: Relationship of creep rate and interface energy

Tobias Brink

We study the creep behavior of Cu64Zr36 glass-crystal nanocomposites under elastostatic loading conditions in molecular dynamics simulations. By manipulating the glass-crystal interfaces of a precipitation-annealed glass containing Laves-type crystallites, ...

AMER PHYSICAL SOC2019

Ductility reduction factor formulations for seismic design of RC wall and frame structures

Matteo Zerbin, Katrin Beyer

Seismic design of standard structures is typically founded on a force-based design approach. Over the years this approach has proven robust and easily applicable by design engineers and - in combination with capacity design principles - it provides a good ...

2019

Representation of Radon Shape Diffusions via Hyperspherical Brownian Motion

Victor Panaretos

A framework is introduced for the study of general Radon shape diffusions, that is, shape diffusions induced by projections of randomly rotating shapes. This is done via a convenient representation of unoriented Radon shape diffusions in (unoriented) D.G. ...

2008

In situ characterization of a high work hardening Ti-6Al-4V prepared by electron beam melting

Helena Van Swygenhoven, Nicola Casati, Karl Alan Sofinowski

A multi-phase Ti-6Al-4V prepared by electron beam melting and thermal post treatments has been shown to exhibit increased strength and ductility over standard wrought or hot isostatic pressed Ti-6-Al-4V. The mechanical improvements are due to a prolonged, ...

2019