A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have more than $16$ disjoint nodal curves.A complex K3 surface or an algebraic K3 surface in characteristics distinct from 2 cannot have more than 16 disjoint nodal curves
This thesis develops and applies the theory of arbitrary genus stable maps to K3 surfaces. In the fi...
We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a gen...
séminaire Bourbaki, mars 2014, exposé 1081International audienceWe report on recent results concerni...
A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have mor...
This note recalls an early 13th century result on congruent numbers by Leonardo Pisano (“Fibonacci”)...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
Let r(S) be the maximum number of pairwise disjunct lines that a non-singular surface S ⊂ P3 contain...
於 城崎国際アートセンター(2019年10月21日-10月25日)2019年度科学研究費補助金 基盤研究(S)(課題番号15H05738, 代表 金銅誠之), 2019年度科学研究費補助金 基盤研究(...
We show the existence of surfaces of degree d in P3(C) with approximately (3j +2)/(6j(j +1)) d3 sing...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
This work aims to determine the maximum number of pairwise disjoint lines that a non-singular surfa...
20 pages, an octic with 48 real singularities of type D4 and a dodecic with 160 singularities of typ...
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type ...
Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$, and let $K_X$ b...
This thesis develops and applies the theory of arbitrary genus stable maps to K3 surfaces. In the fi...
We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a gen...
séminaire Bourbaki, mars 2014, exposé 1081International audienceWe report on recent results concerni...
A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have mor...
This note recalls an early 13th century result on congruent numbers by Leonardo Pisano (“Fibonacci”)...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
Let r(S) be the maximum number of pairwise disjunct lines that a non-singular surface S ⊂ P3 contain...
於 城崎国際アートセンター(2019年10月21日-10月25日)2019年度科学研究費補助金 基盤研究(S)(課題番号15H05738, 代表 金銅誠之), 2019年度科学研究費補助金 基盤研究(...
We show the existence of surfaces of degree d in P3(C) with approximately (3j +2)/(6j(j +1)) d3 sing...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
This work aims to determine the maximum number of pairwise disjoint lines that a non-singular surfa...
20 pages, an octic with 48 real singularities of type D4 and a dodecic with 160 singularities of typ...
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type ...
Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$, and let $K_X$ b...
This thesis develops and applies the theory of arbitrary genus stable maps to K3 surfaces. In the fi...
We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a gen...
séminaire Bourbaki, mars 2014, exposé 1081International audienceWe report on recent results concerni...