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

Isogeny graphs of ordinary abelian varieties

Dimitar Petkov Jetchev, Benjamin Pierre Charles Wesolowski, Ernest Hunter Brooks

Fix a prime number l. Graphs of isogenies of degree a power of l are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ordinary abelian varieties over a finite field. We analyse gr ...

Springer Heidelberg2017

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

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

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

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

Homology of the three flag Hilbert Scheme

Daniele Boccalini

We prove the existence of an affine paving for the three-step flag Hilbert scheme that parametrizes flag of three 0-dimensional subschemes of length, respectively, n, n+1 and n+2 that are supported at the origin of the affine plane. This is done by showing ...

EPFL2016

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups

Anthony Várilly Alvarado

We show that Brauer classes of a locally solvable degree 4 del Pezzo surface X are vertical for some projection away from a plane g : X -> P-1, i.e., that every Brauer class is obtained by pullback from an element of Br k(P-1). As a consequence, we prove t ...

Academic Press Inc Elsevier Science2014

On the second successive minimum of the Jacobian of a Riemann surface

To a compact Riemann surface of genus g can be assigned a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Schottky problem is to discern the Jacobians among the PPAVs. Buser and Sarnak showed that the s ...

Springer Netherlands2012

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

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Isogeny graphs of ordinary abelian varieties

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

Motivic and p-adic Localization Phenomena

Computational Aspects of Jacobians of Hyperelliptic Curves

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

Homology of the three flag Hilbert Scheme

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups

On the second successive minimum of the Jacobian of a Riemann surface

Motivic and p-adic Localization Phenomena

Computational Aspects of Jacobians of Hyperelliptic Curves

Homology of the three flag Hilbert Scheme

On the second successive minimum of the Jacobian of a Riemann surface

Isogeny graphs of ordinary abelian varieties

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

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

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups