Publications related to Ordinary varieties with trivial canonical bundle are not uniruled

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

We analyze the deformation theory of equivariant vector bundles. In particular, we provide an effective criterion for verifying whether all infinitesimal deformations preserve the equivariant structure. As an application, using rigidity of the Frobenius ho ...

SPRINGER HEIDELBERG2020

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Zsolt Patakfalvi, Lei Zhang

Let k be an algebraically closed field of characteristic p > 0. We give a birational characterization of ordinary abelian varieties over k: a smooth projective variety X is birational to an ordinary abelian variety if and only if kappa(S)(X) = 0 and b(1)(X ...

DUKE UNIV PRESS2019

Tits Buildings And K-Stability

Giulio Codogni

A polarized variety is K-stable if, for any test configuration, the Donaldson-Futaki invariant is positive. In this paper, inspired by classical geometric invariant theory, we describe the space of test configurations as a limit of a direct system of Tits ...

CAMBRIDGE UNIV PRESS2019

On subadditivity of Kodaira dimension in positive characteristic over a general type base

Zsolt Patakfalvi

We show that for a surjective, separable morphism f of smooth projective varieties over a field of positive characteristic such that f(*) OX congruent to O-Y subadditivity of Kodaira dimension holds, provided the base is of general type and the Hasse-Witt ...

2018

Arithmetic and geometric structures in cryptography

Benjamin Pierre Charles Wesolowski

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

EPFL2018

Motivic and p-adic Localization Phenomena

Dimitri Stelio Wyss

In this thesis we compute motivic classes of hypertoric varieties, Nakajima quiver varieties and open de Rham spaces in a certain localization of the Grothendieck ring of varieties. Furthermore we study the

p

-adic pushforward of the Haar measure under a ...

EPFL2017

Towards new invariants for principal bundles

Martina Rovelli

We investigate the theory of principal bundles from a homotopical point of view. In the first part of the thesis, we prove a classification of principal bundles over a fixed base space, dual to the well-known classification of bundles with a fixed structur ...

EPFL2017

Motivic Classes of Nakajima Quiver Varieties

Dimitri Stelio Wyss

We prove that Hausel’s formula for the number of rational points of a Nakajima quiver variety over a finite field also holds in a suitable localization of the Grothendieck ring of varieties. In order to generalize the arithmetic harmonic analysis in his pr ...

2016

Navigating through 200 years of historical newspapers

Frédéric Kaplan, Maud Ehrmann, Yannick Rochat, Vincent Christian Buntinx, Cyril Antoine Michel Bornet

This paper aims to describe and explain the processes behind the creation of a digital library composed of two Swiss newspapers, namely Gazette de Lausanne (1798-1998) and Journal de Genève (1826-1998), covering an almost two-century period. We developed a ...

2016

Divergent Reactivity of Thioalkynes in Lewis Acid Catalyzed Annulations with Donor-Acceptor Cyclopropanes

Rosario Scopelliti, Jérôme Waser, Sophie Lucie Racine, Bence Márton Hegedüs

Efficient methods for the convergent synthesis of (poly) cyclic scaffolds are urgently needed in synthetic and medicinal chemistry. Herein, we describe new annulation reactions of thioalkynes with phthalimide-substituted donor-acceptor cyclopropanes, which ...

Wiley-Blackwell2016

Ordinary varieties with trivial canonical bundle are not uniruled

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Arithmetically rigid schemes via deformation theory of equivariant vector bundles

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Tits Buildings And K-Stability

On subadditivity of Kodaira dimension in positive characteristic over a general type base

Arithmetic and geometric structures in cryptography

Motivic and p-adic Localization Phenomena

Towards new invariants for principal bundles

Motivic Classes of Nakajima Quiver Varieties

Navigating through 200 years of historical newspapers

Divergent Reactivity of Thioalkynes in Lewis Acid Catalyzed Annulations with Donor-Acceptor Cyclopropanes

Arithmetically rigid schemes via deformation theory of equivariant vector bundles

On subadditivity of Kodaira dimension in positive characteristic over a general type base

Towards new invariants for principal bundles

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Tits Buildings And K-Stability

Motivic and p-adic Localization Phenomena

Motivic Classes of Nakajima Quiver Varieties

Arithmetic and geometric structures in cryptography

Divergent Reactivity of Thioalkynes in Lewis Acid Catalyzed Annulations with Donor-Acceptor Cyclopropanes

Navigating through 200 years of historical newspapers