AbstractIn the present paper we generalise transference theorems from the classical geometry of numbers to the geometry of numbers over the ring of adeles of a number field. To this end we introduce a notion of polarity for adelic convex bodies
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness o...
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in or...
There are numerous situations in which a polarity occurs, several of these being pointed out by G. B...
AbstractIn the present paper we generalise transference theorems from the classical geometry of numb...
AbstractWe use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination o...
In this paper, we establish a characterization of the polarity mapping for 1-dimensional convex bodi...
Adelic (and idelic) structures can be associated to algebraic and arithmetic varieties, and an adeli...
The Birch and Swinnerton-Dyer conjecture is one the most important, still unsolved problem in mathem...
This expository article explores the connection between the polar duality from polyhedral geometry a...
The classification of polarities in irreducible projective spaces is well-known. In this note we cla...
The classical Riemann–Roch theorem for projective irreducible curves over perfect fields can be eleg...
We establish an arithmetic intersection theory in the framework of Arakelov geometry over adelic cur...
A few years ago Okounkov associated a convex set (Newton–Okounkov body) to a divisor, encoding the a...
In this paper a generalisation of the notion of polarity is exhibited which allows to completely des...
For an arithmetic surface X → B = SpecOK, the Deligne pairing 〈, 〉 : Pic(X)×Pic(X)→Pic(B) gives the ...
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness o...
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in or...
There are numerous situations in which a polarity occurs, several of these being pointed out by G. B...
AbstractIn the present paper we generalise transference theorems from the classical geometry of numb...
AbstractWe use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination o...
In this paper, we establish a characterization of the polarity mapping for 1-dimensional convex bodi...
Adelic (and idelic) structures can be associated to algebraic and arithmetic varieties, and an adeli...
The Birch and Swinnerton-Dyer conjecture is one the most important, still unsolved problem in mathem...
This expository article explores the connection between the polar duality from polyhedral geometry a...
The classification of polarities in irreducible projective spaces is well-known. In this note we cla...
The classical Riemann–Roch theorem for projective irreducible curves over perfect fields can be eleg...
We establish an arithmetic intersection theory in the framework of Arakelov geometry over adelic cur...
A few years ago Okounkov associated a convex set (Newton–Okounkov body) to a divisor, encoding the a...
In this paper a generalisation of the notion of polarity is exhibited which allows to completely des...
For an arithmetic surface X → B = SpecOK, the Deligne pairing 〈, 〉 : Pic(X)×Pic(X)→Pic(B) gives the ...
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness o...
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in or...
There are numerous situations in which a polarity occurs, several of these being pointed out by G. B...
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