Algebraic varieties
Quantitative properties of real algebraic varieties
... solved efficiently. This thesis is concerned with real semi-algebraic varieties and the singularities that inevitably arise when manipulating them. Of course, even having restricted oneself to this field, ...
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Problems and results on the distribution of algebraic points on algebraic varieties
... non-zero algebraic num- ber not a root of ...on algebraic numbers and algebraic varieties over number fields and, as such, it deserves a lot of ...
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Minkowski sums and Hadamard products of algebraic varieties
... In algebraic geometry we have several constructions to build new algebraic varieties from given ...secant varieties, rational normal scrolls, and Segre ...
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Diophantine approximation on algebraic varieties
... The third lecture moves from Roth’s theorem to Vojta’s proof of the Mordell conjecture, developing the necessary theory of height functions and the corresponding metrics on[r] ...
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Co-invariants of Lie algebras of vector fields on algebraic varieties
... affine varieties which generalize the simple Lie algebras of vector fields on affine space as classified by ...Poisson varieties; of Hamiltonian vector fields on Jacobi varieties (this generalizes ...
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Algebraic varieties with quasi-projective universal cover
... the algebraic cases, such examples are given by Hopf manifolds, compact nilmanifolds or more generally any quotient G\Γ where G is a (simply connected) non-commutative linear algebraic group and Γ a ...
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Almost algebraic actions of algebraic groups and applications to algebraic representations
... 1.3. The structure of the paper. The paper has two halves: the first half consist- ing of §2,§3 is devoted to the proof of Theorem 1.7 and the second half is devoted to the proof of Theorem 1.16 . In §2 we collect ...
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Reidemeister torsion on character varieties
... concludes the proof. 1.3.4 Curves and valuations Examples of field extensions of k together with k-valuations are given by algebraic varieties defined over k. In particular, pick X ⊂ X(Γ) an irreducible ...
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Integral canonical models of Shimura varieties
... Shimura varieties par Mark KISIN ...Shimura varieties, and then to sketch a proof of the existence of such models for Shimura varieties of Hodge and, more generally, abelian ...
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Arithmetic and Dynamical Degrees on Abelian Varieties
... We remark that for morphisms ϕ : P N → P N , or more generally if ϕ is a morphism and NS(X) has rank 1, then the dynamical degree agrees with the usual notion of degree in the sense that ϕ ∗ H ≡ δ(ϕ)H. It is known that ...
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Variance scaling of Boolean random varieties
... show in section 5, that such scaling power laws appear in the case of Boolean models built on the linear Poisson varieties. 4.2 Practical determination of the size of the RVE The size of a RVE can be de…ned for a ...
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Algebraic totality, towards completeness
... ′ and the compactness of K to build the wanted x. (Details in Annex A , Prop. 14 ) Both separations theorem, ensure the algebraic isomorphism between a linear finite- ness space and its second dual. This ...
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Stably rational algebraic tori
... In this paper we suggest a new approach to this conjecture. In particular, we prove the rationality of any stably rational torus with a cyclic splitting field. First recall some facts and definitions. Let T be an ...
7
Algebraic structures on integer posets
... This abstract reports on further developments in this direction, with the objective to provide a unified understanding not only for the elements, but also for the intervals and the faces of the permutahedron, the ...
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Algebraic deformation for (S)PDEs
... Introduction 3 as decorations on decorated trees and by changing them along with the transfor- mation one gets a formal Taylor series with a leading term and terms of lower degrees. Behind Theorem 1.1, one can think ...
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Implicit representations of high-codimension varieties
... Figure 1: Left: The space curve of Example 3. Right: The two implicit surfaces defining the curve. We introduce two implicitization methods for varieties of codimension higher than 1. Our first method is a direct ...
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Darmon's points and quaternionic Shimura varieties
... {Z(t, ϕ; H)}q t is a Hilbert modular form of weight 3/2. In [ YZZ09 ], the authors work by induction. To apply their method we would need to prove that the refined classes {Z(t, ϕ; H)} are compatible with the tower of ...
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Around rationality of algebraic cycles
... mainly relies on a result of I. Panin about the Grothendieck ring of such a variety. In fact, this version implies the previous one on exceptional projective homogeneous varieties. Finally, in Chapter VI (Sections ...
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Constructions of real algebraic surfaces
... [Hor93] E. Horikawa : Deformations of sextic surfaces. Topology, 32(4):757–772, 1993. [IMS09] I. Itenberg, G. Mikhalkin et E. Shustin : Tropical algebraic geometry, vol- ume 35 de Oberwolfach Seminars. Birkhäuser ...
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Opetopes: Syntactic and Algebraic Aspects
... Lastly, in the third part of this thesis, we focus on the algebraic structures that can naturally be described by opetopes. So-called opetopic algebras include categories, planar operads, and Loday’s combinads ...
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