For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-existence of automorphisms of order a power of a rational prime. We show how this criterion can be used to determine the automorphism group of some modular curves of high genus.Postprint (author's final draft
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
This survey presents main ideas needed for obtaining the list of all non-trivial groups G that appea...
Let N ≥ 1 be a square-free integer such that the modular curve X0*(N) has genus ≥ 2. We prove that X...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractWe determine the automorphism group of the modular curve X0∗(p) for all prime numbers p
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
AbstractUsing Faltings' theorem on the Mordell conjecture, we prove that for any prime p⩾5 and integ...
AbstractNon-singular plane algebraic curves over Fq with a Singer group of PGL(3,q) in their automor...
Using Weil descent, we give bounds for the number of rational points on two families of curves over ...
Let Fq be the finite field of order q=ph with p>2 prime and h>1, and let Fq¯ be a subfield of ...
This paper proves two results on the field of rationality Q(π) for an automorphic representation π, ...
In this thesis we consider two problems related to algebraic curves in prime characteristic. In the ...
Im ersten Teil der Thesis betrachten wir möglicherweise singuläre rationale projektive K*-Flächen un...
This is the author accepted manuscript. The final version is available from the American Mathematica...
Let N=1 be a square-free integer such that the modular curve X*0(N) has genus =2. We prove that X*0(...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
This survey presents main ideas needed for obtaining the list of all non-trivial groups G that appea...
Let N ≥ 1 be a square-free integer such that the modular curve X0*(N) has genus ≥ 2. We prove that X...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractWe determine the automorphism group of the modular curve X0∗(p) for all prime numbers p
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
AbstractUsing Faltings' theorem on the Mordell conjecture, we prove that for any prime p⩾5 and integ...
AbstractNon-singular plane algebraic curves over Fq with a Singer group of PGL(3,q) in their automor...
Using Weil descent, we give bounds for the number of rational points on two families of curves over ...
Let Fq be the finite field of order q=ph with p>2 prime and h>1, and let Fq¯ be a subfield of ...
This paper proves two results on the field of rationality Q(π) for an automorphic representation π, ...
In this thesis we consider two problems related to algebraic curves in prime characteristic. In the ...
Im ersten Teil der Thesis betrachten wir möglicherweise singuläre rationale projektive K*-Flächen un...
This is the author accepted manuscript. The final version is available from the American Mathematica...
Let N=1 be a square-free integer such that the modular curve X*0(N) has genus =2. We prove that X*0(...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
This survey presents main ideas needed for obtaining the list of all non-trivial groups G that appea...
Let N ≥ 1 be a square-free integer such that the modular curve X0*(N) has genus ≥ 2. We prove that X...
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