We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebraic equation a 0 z 6 + a 1 z 5 + ... + a 6 = 0 by genus two theta constants. Using the same formulas, later we resolve degree five, four and three algebraic equations. We study the monodromy group, which permutes the roots of degree six polynomials
A complete work on general reducibility and solvability of polynomial equations by algebraic meansra...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
It is well known that the general polynomial a_n*x^n + a_{n-1}*x^{n-₋¹} + ... + a₁x + a_0 cannot be ...
We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebra...
In this paper we study the Schwarz genus for the covering of the space of polynomials with distinct ...
In this paper we determine the maximum number of polynomial solutions of Bernoulli differential equa...
This book is the result of extending and deepening all questions from algebraic geometry that are co...
Existing algorithms to compute genus 2 theta constants in quasi-linear time use Borchardt sequences,...
We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
International audienceIn this paper we explain how to construct F_q-complete addition laws on the Ja...
Genus-two curves with special symmetries are related to pairs of genus-one curves by two and three-s...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that ...
Thesis advisor: Maksym FedorchukA general smooth curve of genus six lies on a quintic del Pezzo surf...
A complete work on general reducibility and solvability of polynomial equations by algebraic meansra...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
It is well known that the general polynomial a_n*x^n + a_{n-1}*x^{n-₋¹} + ... + a₁x + a_0 cannot be ...
We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebra...
In this paper we study the Schwarz genus for the covering of the space of polynomials with distinct ...
In this paper we determine the maximum number of polynomial solutions of Bernoulli differential equa...
This book is the result of extending and deepening all questions from algebraic geometry that are co...
Existing algorithms to compute genus 2 theta constants in quasi-linear time use Borchardt sequences,...
We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
International audienceIn this paper we explain how to construct F_q-complete addition laws on the Ja...
Genus-two curves with special symmetries are related to pairs of genus-one curves by two and three-s...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that ...
Thesis advisor: Maksym FedorchukA general smooth curve of genus six lies on a quintic del Pezzo surf...
A complete work on general reducibility and solvability of polynomial equations by algebraic meansra...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
It is well known that the general polynomial a_n*x^n + a_{n-1}*x^{n-₋¹} + ... + a₁x + a_0 cannot be ...