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Posters

  
Here are a few posters of my students during the years.


Algebraic curves of minimal height


Abstract: We define the height of a curve, the moduli height, and heights on Abelian varieties defined over a ring of integers of a Dedekind domain.  Moreover, we provide an algorithm how to find the equation of a curve with minimal height.  


A proof of the Mordell-Weil theorem for Abelian varieties


Abstract: We display a proof of the Mordell-Weil theorem for Abelian varieties. 


Principles of Corpus Construction
Jozefina Ujka

Abstract: A corpus is a large, principled collection of naturally occurring examples of language stored electronically to permit investigation using special software.  A corpus is principled because texts are selected for inclusion according to predefined research purposes. Usually the analysis of a texts is done with special software, which take into account special characteristics like for example the frequency of the phenomena investigated.





Equations of curves with minimal discriminant
R. Shaska

Abstract:  Let E be an elliptic curve defined over the ring of integers of a Dedekind domain. John Tate showed that there exists a Weierstrass equation of E with minimal discriminant.  We show that for every superelliptic curve y^n=f(x) exists a Weierstrass equation with minimal discriminant.  We provide an algorithm how this equation is determined.




Genus 3 curves
L. Beshaj

Abstract:  We describe the same of the basic properties of genus 3 curves, their invariants, automorphism groups, stratification of the moduli space $\mathcal M_3$, and rational models of curves over their field of moduli. By a curve we mean a smooth, irreducible, algebraic curve defined over an algebraically closed field of characteristic zero.