Publications related to Moduli stack of elliptic curves

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Let f(z)=q+∑n≥2a(n)qn be a weight k normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and Hong in Amir and Hong (On L-functions of modular elliptic curves and certain K3 surfaces, R ...

2021

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

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Zsolt Patakfalvi, Giulio Codogni

The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano varieties. It is conjectured that it yields a polarization on the moduli space of K-poly-stable klt Fano varieties. Proving ampleness of the CM line bundle ...

SPRINGER HEIDELBERG2020

Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields

Marius Lorenz Vuille

Abelian varieties are fascinating objects, combining the fields of geometry and arithmetic. While the interest in abelian varieties has long time been of purely theoretic nature, they saw their first real-world application in cryptography in the mid 1980's ...

EPFL2020

Side-channel attacks on SIKE

Natacha Yolande Emmanuel Marie Linard de Guertechin

This thesis presents, firstly, an introduction to the current state of the art in isogeny-based cryptography, and secondly, a side-channel differential power analysis of SIKE—an isogeny-based key exchange algorithm—in semi-static mode. These attacks have b ...

2020

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes

Linus Jordan

We describe an injection from border-strip decompositions of certain diagrams to permutations. This allows us to provide enumeration results as well as q-analogues of enumeration formulas. Finally, we use this injection to prove a connection between the nu ...

2019

Geometric stabilisation via $p$-adic integration

Dimitri Stelio Wyss, Michael Gröchenig

In this article we give a new proof of Ngô's Geometric Stabilisation Theorem, which implies the Fundamental Lemma. This is a statement which relates the cohomology of Hitchin fibres for a quasi-split reductive group scheme G to the cohomology of Hitchin fi ...

2018

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Dimitri Stelio Wyss, Michael Gröchenig

We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type

SL_n

and

PGL_n

. More precisely, we establish an equality of stringy Hodge numbers for certain pairs of algebraic orbifolds generica ...

2017

Some consequences of Masser's counting theorem on elliptic curves

Valéry Aurélien Mahé

We use Masser's counting theorem to prove a lower bound for the canonical height in powers of elliptic curves. We also prove the Galois case of the elliptic Lehmer problem, combining Kummer theory and Masser's result with bounds on the rank and torsion of ...

Springer Heidelberg2017

On the mechanical characteristics of a self-setting calcium phosphate cement

John Botsis, Luis Pablo Canal Casado, Dimitrios Karalekas, Alexios Bimis

Objective: To perform a mechanical characterization of a self-setting calcium phosphate cement in function of the immersion time in Ringer solution. Materials and methods: Specimens of self-setting calcium phosphate cement were prepared from pure alpha-TCP ...

Elsevier2017

Moduli stack of elliptic curves

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A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Serre-Tate theory for Calabi-Yau varieties

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields

Side-channel attacks on SIKE

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes

Geometric stabilisation via $p$-adic integration

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Some consequences of Masser's counting theorem on elliptic curves

On the mechanical characteristics of a self-setting calcium phosphate cement

Geometric stabilisation via $p$-adic integration

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

On the mechanical characteristics of a self-setting calcium phosphate cement

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields

Side-channel attacks on SIKE

Some consequences of Masser's counting theorem on elliptic curves

Serre-Tate theory for Calabi-Yau varieties

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes